The distinct equivalence classes of R are: {-7}, {-6}, {-5}, {-4}, {-3}, {-2}, {-1}, {0}, {1, -1}, {3}.
First, we need to determine the equivalence class of an arbitrary element x in A. This equivalence class is the set of all elements in A that are related to x by the relation R. In other words, it is the set of all y in A such that x R y.
Let's choose an arbitrary element x in A, say x = 2. We need to find all y in A such that 2 R y, i.e., such that [tex]\frac{3}{(2^2 - y^2)}=k[/tex], where k is some constant.
Solving for y, we get: y = ±[tex]\sqrt{\frac{4-3}{k} }[/tex]
Since k can take on any non-zero real value, there are two possible values of y for each k. However, we need to make sure that y is an integer in A. This will limit the possible values of k.
We can check that the only values of k that give integer solutions for y are k = ±3, ±1, and ±[tex]\frac{1}{3}[/tex]. For example, when k = 3, we get:
y = ±[tex]\sqrt{\frac{4-3}{k} }[/tex] = ±[tex]\sqrt{1}[/tex]= ±1
Therefore, the equivalence class of 2 is the set {1, -1}.
We can repeat this process for all elements in A to find the distinct equivalence classes of R. The results are:
The equivalence class of -7 is {-7}.
The equivalence class of -6 is {-6}.
The equivalence class of -5 is {-5}.
The equivalence class of -4 is {-4}.
The equivalence class of -3 is {-3}.
The equivalence class of -2 is {-2}.
The equivalence class of -1 is {-1}.
The equivalence class of 0 is {0}.
The equivalence class of 1 is {1, -1}.
The equivalence class of 2 is {1, -1}.
The equivalence class of 3 is {3}.
Therefore, the distinct equivalence classes of R are:
{-7}, {-6}, {-5}, {-4}, {-3}, {-2}, {-1}, {0}, {1, -1}, {3}.
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What would happen to the graph if she saved $2.50 a week? Use the color green to represent this situation on
the graph provided. Write the equation of the line represented in the graph. Describe how the components of
the equation represent the situation.
The line's equation is y = 25x + 50.A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
What is meant by line equation?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line. A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Wolfram MathWorld's linear.a). I began with a $50 savings because the line's starting point is (0, 50).
b). Money with me after 5 weeks will be $175 since the segment's endpoint is (5, 175).
c). Let y - y' = m(x - x') be the equation for the line shown in the graph.
where a point on the graph is (x', y').
And "m" represents the line's slope.
Slope of the line =
m =
m = 25
Since, the line passes through (0, 50),
y - 50 = 25(x - 0)
y = 25x + 50
y = 25x + 50
For x = 6,
y = 25×6 + 50 = 200
For x = 7,
y = 25×7 + 50 = 225
For x = 8,
y = 25×8 + 50 =250
d). For x = 10 weeks,
y = 25×10 + 50 = $300
e). For x = 15 weeks
y = 25×15 + 50 = $425
f). For x = 50 weeks,
y = 25×50 + 50 = $1300
g). Equation of the line is,
y = 25x + 50
The complete question is:
The graph below shows how much money you have in savings each week. Use
this graph to answer questions (a – g).
a. According to the graph how much money did you start with in your savings?
b. How much money will you have after 5 weeks of saving?
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What is the simplest radical form of the expression?
(x4y7) ¾/
x³ ys √x
x²y² √√x²y²
xy² √√xy
x6 y ¹0 √y
The simplest radical form of the expression (x^4y^7)^3/4 is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].
What is a radical?
A radical in mathematics is the opposite of an exponent, which is symbolised by the sign "√" also known as root. The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root.
The given expression is -
(x^4y^7)^3/4
To solve apply the exponent rule → (a·b)^n =a^nb^n
(x^4y^7)^3/4 = [(x^4)^3/4 · (y^7)^3/4]
= x^3 · y^21/4
= x^3y^21/4
=x^2|x|y^5[tex]\sqrt[4]{y}[/tex]
Therefore, the simplest radical form is x^2|x|y^5[tex]\sqrt[4]{y}[/tex].
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What is the roots of the equation x² 7x 10?
Answer:
-5 and -2
Step-by-step explanation:
Can anyone help me with this question?
Solve -2x^2 + 5x + 12 > or = 0
Answer: its 3.7 but you have to round.
Step-by-step explanation:
Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 262626 thousand dollars and 222 thousand dollars, respectively. Suppose we select one of these cars at random. Let x=x=x, equals the sale price (in thousands of dollars) for the selected car. Find p(26
The probability of P(26 < X < 30) is 0.48.
In this case, the given parameters are:
Mean μ = 26
Standard deviation σ = 2
So, the probability P(26 < X < 30) will be represented as:
P(26 < X < 30)
= P(z1 < z < z2)
where:
z = (X – μ) / σ
Thus, now we have:
P(26 < X < 30)
= P((26 – 26) / 2 < z < (30 – 26) / 2)
= P(0 / 2 < z < 4 / 2)
= P(0 < z < 2)
= P(z < 2) – P(z < 0)
For z-score of probabilities, we have:
P(26 < X < 30)
= P(z < 2) – P(z < 0)
= 0.97725 – 0.5
= 0.47725
= 0.48
Hence, the probability of P(26 < X < 30) is 0.48.
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Although part of your question is missing, you might be referring to this full question: Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X represent the sale price (in thousands of dollars) for the selected car. Find P(26< X<30).
Joshua makes $12 per hour. Next monster, he will be making $14 per hour. What rate of increase does this represent? ROUND TO THE NEAREST PERCENT.
The percentage rate of increase in Joshua wages is 17%
What is rate in increase?Rate of increase or decrease is often referred to as rate of change. Rate of change refers to how quickly something changes over time.
To calculate the rate of decrease we subtract the original value from the new value, then divide the result by the original value. Multiply the result by 100. The answer is the percent increase.
This means percentage rate in increase = (new wage - original wage )/original wage × 100
= (14-12)/12 ×100
= 2/12 ×100
= 100/6 = 17% ( nearest percent)
Therefore the percentage increase in Joshua wage is 17%
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If XP = 5x - 1 and PZ = 4x + 1, what is XZ?
By adding the two given segments, we will get:
XZ = XP + PZ
XZ = 9x
How to find the length of XZ?Here we have a segment called XZ, such that it has a midpoint P.
We know that:
XP = 5x - 1
PZ = 4x + 1
Notice that above we divided our segment into two smaller ones, but the first one ends at P and the second one starts at P, then we can write:
XZ = XP + PZ
Then XZ is just the sum of the two expressions above:
XZ = 5x - 1 + 4x + 1
XZ = 9x + 1 - 1
XZ = 9x
Where x is a variable.
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Work out the perimeter of a semicircle the radius 3cm give you answer I’m terms of pi
The perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.
What is perimeter of a semicircle?The complete length of a semicircle's boundary is referred to as the circumference of a semicircle, which is another name for its perimeter. The diameter's length and one-half of the original circle's circumference are added to determine it. Linear units such as "inches," "feet," "metres," or "centimetres," etc. are used to indicate the circle's circumference.
Given that the radius of the semicircle is 3cm.
The formula for the perimeter of a semicircle is:
P = pi(r) + 2r
Substituting the value of r = 3 we have:
P = pi(3) + 2(3)
P = 6 + 3pi
Hence, the perimeter of a semicircle the radius 3cm give you answer I’m terms of pi is P = 6 + 3pi.
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Jamal implified the expreion StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot = StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x quared y quared StartRoot 3 x EndRoot
Which decribe the error Jamal made?
He hould have written the quare root of y Supercript 8 in the anwer a y Supercript 4, not y quared. He hould have written the quare root of x Supercript 4 in the anwer a x, not x quared. He hould have written the 5 inide of the radical in the anwer. He hould have written the 3 outide of the radical in the anwer
The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer.
Jamal was trying to simplify the expression StartRoot 75 x Supercript 5 Baeline y Supercript 8 Baeline EndRoot where x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0. He wrote his answer as 5 x quared y quared StartRoot 3 x EndRoot. However, this was incorrect because he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared. He should have written the square root of x Supercript 4 in the answer as x, not x squared. He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. The correct answer is StartRoot 25 time 3 time x Supercript 4 Baeline time x time y Supercript 8 Baeline EndRoot = 5 x StartRoot 4 Baeline y Supercript 4 Baeline EndRoot.The error Jamal made is that he should have written the square root of y Supercript 8 in the answer as y Supercript 4, not y squared.
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Is it possible to make a right angled triangle with the given sides 2.5 cm 6.5 cm 6 cm justify your answer if possible which is the hypotenuse?
It is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm because the sum of two sides are greater than three sides. 6.5 is the hypotenuse of the triangle because it is the largest length.
In the given question, we have to check that it is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.
To check this we firstly add the 2.5 and 6.5
2.5 + 6.5 > 6
9 > 6
Now we add 2.5 and 6
2.5 + 6 > 6.5
8.5 > 6.5
Now we add 6.5 and 6
6.5 + 6 > 2.5
12.5 > 2.5
It is possible to construct a triangle whose sides are 2.5 cm 6.5 cm and 6 cm because the sum of two sides are greater than third sides.
As we know that the largest length is the hypotenuse of the triangle. So 6.5 is the hypotenuse of the triangle because it is the largest length.
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Solve each equation: Be sure to check the solutions:
1. X^2+17x+42=0
2. t^2-26t=56
3. y^2-84=5y
4. 17r+r^2=-52
PLEASE ANSWER QUICK!!!!!!!!!
Answer:
(1)... x1 = -14, x2 = -3
(2)... t1 = -2, t2 = 28
(3)... y1 = -7, y2 = 12
(4)... r1 = -13, r2 = -4
Step-by-step explanation:
Answer:
1.
[tex] {x}^{2} + 17x + 42 = 0 \\ using \: quadratic \: equation \: formula \\ x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 42 } }{2 \times 1} \\ x = \frac{ - 17±11}{2} \\ for \: x = \frac{ - 17 + 11}{2} \\ x = - 3 \\ for \: x = \frac{ - 17 - 11}{2} \\ x = - 14[/tex]
Answer for 1 : x=-3, x=-14
2.
[tex]t^2-26t=56 \\ also \: using \: quadratic \: equation \\ t = 28 \: or \: t = - 2[/tex]
Answer for 2: t=28, x=-2
3.
[tex]y^2-84=5y \\ {y}^{2} - 5y - 84 = 0 \\ applying \: quadratic \: equation \\ y = 12 \: or \: y = - 7[/tex]
Answer for 3: y=12, y=-7
4.
[tex]17r+r^2=-52 \\ {r}^{2} + 17r + 52 = 0 \\ r = - 4 \: or \: r = - 13[/tex]
Answer for 4: r=-4, r=-13
Please help cause this is due tmrw and I don’t know it
The dimensions of the rectangle are y - 4y−4 for the length and 3y3y for the width
What is area of a rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.We calculate the area of a rectangle to find the area occupied by the rectangle within its perimeter.In geometry, area of rectangle is the region covered by the rectangle in a two-dimensional plane. A rectangle is a type of quadrilateral, a 2d shape that has four sides and four verticesThe area of the rectangle is the region occupied by the sides of the rectangle. The area of the rectangle based on its dimensions is:3y(y-4)-3y²-12yThe dimensions of the rectangle are y - 4y−4 for the length and 3y + 53y+5 for the width. The area of the rectangle based on its dimensions is:(3y+5)(y-4)-3y²-7y-20To learn more about area of a rectangle refers to:
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FIRST WITH RIGHT ANSWER GETS BRAINIEST
(100 Points)
Select all that are true.
(Picture Below)
Answer:
C and D----------------------------------
Simplify each product and compare with the right side:
A)
3/8 × 54 = 3/4 × 27 = 81/4 = 20 1/4, incorrectB)
5/12 × 26 = 5/6 × 13 = 65/6 = 10 5/6, incorrectC)
11/15 × 20 = 11/3 × 4 = 44/3 = 14 2/3, correctD)
3/8 × 48 = 3 × 6 = 18, correctE)
7/12 × 48 = 7 × 4 = 28, incorrectAnswer:
3 and 4
Step-by-step explanation:
Evaluate each given expression.
Expression 1
[tex]\begin{aligned} \implies \dfrac{3}{8} \times 54 & =\dfrac{3\times54}{8}\\\\&=\dfrac{162}{8}\\\\&=\dfrac{162 \div 2}{8 \div2}\\\\&=\dfrac{81}{4}\\\\&=20\; \rm r\;1\\\\&=20\frac{1}{4}\end{aligned}[/tex]
Therefore, as 20⁵/₆ ≠ 20¹/₄ the equation is not true.
Expression 2
[tex]\begin{aligned} \implies \dfrac{5}{12} \times 26 & =\dfrac{5 \times 26}{12}\\\\&=\dfrac{130}{12}\\\\&=\dfrac{130\div2}{12\div2}\\\\&=\dfrac{65}{6}\\\\&=10\;\rm r\;5\\\\&=10\dfrac{5}{6}\end{aligned}[/tex]
Therefore, as 9³/₄ ≠ 10⁵/₆ the equation is not true.
Expression 3
[tex]\begin{aligned}\implies \dfrac{11}{15} \times 20 & =\dfrac{11 \times 20}{15}\\\\&=\dfrac{220}{15}\\\\&=\dfrac{220\div5}{15\div5}\\\\&=\dfrac{44}{3}\\\\&=14\; \rm r \;2\\\\&=14\dfrac{2}{3}\end{aligned}[/tex]
Therefore, as 14²/₃ = 14²/₃ the equation is true.
Expression 4
[tex]\begin{aligned} \implies\dfrac{3}{8} \times 48 & =\dfrac{3\times 48 }{8} \\\\& =\dfrac{144}{8} \\\\& =\dfrac{18 \times \diagup\!\!\!\!8}{\diagup\!\!\!\!8}\\\\&=18\end{aligned}[/tex]
Therefore, as 18 = 18 the equation is true.
Expression 5
[tex]\begin{aligned} \implies\dfrac{7}{12} \times 48 & =\dfrac{7\times 48 }{12} \\\\&=\dfrac{336}{12}\\\\&=\dfrac{28 \times 12}{12}\\\\&=28\end{aligned}[/tex]
Therefore, as 21 ≠ 28 the equation is not true.
When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. Use the information in the table to complete the statements. Some terms are used more than once.
Table with 2 columns and 4 rows of data.
The table shows a proportional relationship between ______________ and ______________.
The scale factor shown is ______________.
The constant of proportionality for this relationship is______________.
The units for the constant of proportionality are ______________ per ______________.
The table shows a proportional relationship between the cups of milk used and number of tablespoons of chocolate syrup used. The scale factor shown is 3/2. The constant of proportionality for this relationship is 3/2. The units for the constant of proportionality are teaspoons of chocolate syrup used per cups of milk used.
What is proportional relationship?When it comes to ratios and fractions, the concept of proportion is very connected. When two amounts with the same unit are compared, they form a ratio. When comparing two quantities, a ratio enables us to determine whether one is larger or smaller.
Two ratios or two fractions are equivalent when they are compared according to the proportional rule. To put it another way, two ratios are said to be proportional when they are equal. Performing arithmetic operations on both sides of the ratio taught us that a ratio can be expressed in a variety of ways.
Both the 3: 5 and 6: 10 are equivalent ratios. This indicates that these ratios are proportional. This proportionality can be expressed mathematically as follows:
[tex]$ \frac{3}{5} = \frac{6}{10}[/tex]
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Solve for x . The polygons in each pair are similar
According to quadrant geometry value of x is 7
What is quadrant in geometry?
The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
Write a proportion using the side lengths of each similar form to locate the missing side. An equation that makes two ratios equal is called a proportion. By dividing the numerator and denominator of each fraction by two, you can find x.
4(14) = 8(-7+2x)
56 = -56 + 16x
112 = 16x
x=7
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Question:
Solve for x . The polygons in each pair are similar
A fair die has its faces numbered from 1 to 6. Let random variable f represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3. 5 and standard deviation 1. 7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded.
A fair dice has its faces numbered from 1 to 6. Let random variable f represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3. 5 and standard deviation 1. 7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 times, and the mean of the 5 values landing face up is recorded. The mean of the distribution of sample means is 3.5 and the standard deviation of the distribution of sample means is 0.0854.
The mean of the distribution of sample means
μ = 3.5
The standard deviation of the distribution of sample means can be calculate as follows:
σₓ = σ/√n
σₓ = 1.7078/√400
σₓ = 0.0854
Thus, the right answer is provided by the data of Mean 3.5 and Standard Deviation 0.0854.
Your question is incpmplete but most probably your full question was
fair die has its faces numbered from 1 to 6. Let random variable F represent the number landing face up when the die is tossed. The probability distribution for the random variable has mean 3.5
and standard deviation 1.7078. Consider a simulation with 400 trials designed to estimate the sampling distribution of the sample mean for 5 tosses of the die. For each trial, the die is tossed 5 imes, and the mean of the 5 values landing face up is recorded.
The mean and standard deviation of the results of the simulation should be
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Calculate The length of a staircase that is 3.2m and has a standard height of 4.7 m
answer: hello
Step-by-step explanation:
If you get the answer then tell me
2n>20 Solve the inequality. Graph the solution.
Answer:
n>10
Step-by-step explanation:
2n>20
n>20/2
n>10
1,024 divided by 32 please help
Answer:
32
Please mark brainliest if this is correct! :)
Answer:
1024/32= 32.
Step-by-step explanation:
i call it a calculator
In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. if three such number cubes are rolled, what is the probability that all three show a number 10 or larger? a. (startfraction 1 over 12 endfraction) cubed b. (startfraction 2 over 12 endfraction) cubed c. (startfraction 3 over 12 endfraction) cubed d. (startfraction 10 over 12 endfraction) cubed
The correct answer is d. (start fraction 10 over 12 end fraction) cubed
Explanation:
Probability is a measure of the likelihood of an event happening. It is a number between 0 and 1, with 0 indicating that an event will not happen and 1 indicating that an event will happen. A probability of 0.5, for example, indicates that an event has a 50% chance of happening.
Probability is usually expressed as a fraction, decimal or percentage.
It can be calculated by taking the number of favourable outcomes divided by the number of total possible outcomes. For example, if you wanted to calculate the probability of rolling a 4 on a fair 6-sided die, you would divide the number of favourable outcomes (1) by the number of possible outcomes (6), giving you a probability of 1/6 or 0.1667.
The probability of rolling a number 10 or greater on a single 12-sided die is 10/12 or 5/6. Since the question asks for the probability that all three dice will roll a number 10 or greater, we must cube the probability of rolling a number 10 or greater on a single die, which is (10/12)^3 = (5/6)^3 = (125/216) = (10/18) = (10/12)^3.
Therefore the the probability that all three show a number 10 or larger is [tex](\frac{10}{12}) ^{3}[/tex].
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Is a coordinate plane 2 dimensional?
Yes, a coordinate plane 2 dimensional
A coordinated plane is an area formed by the intersection of two lines and so is called 2-Dimensional. The horizontal line is called X-axis and the vertical line is called Y-axis. The intersection point of these two lines is called origin.
Coordinates are set of two numbers used to locate a specific point on the plane. They are represented in form of (x,y). The points can be positive zero or negative. They are used to plot graphs pin points draw lines etc.
A coordinated plane has 4 quadrants. A quadrant can be defined as a region on a plane where both X,Y axis is perpendicular. They are:
First quadrant: x > 0, y > Second quadrant: x < 0, y > 0Third quadrant: x < 0, y < 0Fourth quadrant: x > 0, y < 0.To know more about the coordinated plane visit:
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what is 1+1+6+5+8+(+(+8+*8766735
Answer:
your answer is 561,072,052
Ix time a number le 20 i the ame a four time the number increaed by 6. Find the number
The number is 14. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.
20 = 4 × (number + 6)
20 = 4 × number + 24
20 - 24 = 4 × number
-4 = 4 × number
number = -4 ÷ 4
number = -1
The equation provided is 20 = 4 × (number + 6). Rearranging this equation gives 20 = 4 × number + 24. Subtracting 24 from both sides gives 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number. Dividing both sides by 4 once again gives number = -4 ÷ 4. Therefore, the number is 14.
To find the number in the equation given, we can first rearrange the equation so it is in the form of 20 = 4 × number + 24. Then, subtracting 24 from both sides gives us 20 - 24 = 4 × number. Dividing both sides by 4 gives -4 = 4 × number, which can be further simplified to number = -4 ÷ 4. This means that the number is 14.
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Determine the type of dilation shown and the scale factor used.
Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{15}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: 2.5[/tex]
So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5
So, our required answer will be :
Enlargement with scale factor of 2.5
An angle bisector of a triangle divides the opposite side of the triangle into segments 7 cm and 9 cm long. A second side of the triangle is 22.5 cm long. Find all possible lengths for the third side of the triangle
The other possible length for the third side of the triangle is 15 cm.
What is an Angle Bisector Theorem?
An angle bisector of a triangle divides the opposite side of the triangle into segments that are in the same ratio as the other two sides of the triangle. This is called the Angle Bisector Theorem.
Given that the angle bisector divides the opposite side into segments of 7 cm and 9 cm, the ratio of the other two sides of the triangle must also be 7:9.
Since the second side of the triangle is 22.5 cm, the third side must be:
x = (22.5 * 9) / 7 = 27 cm
So, the third side of the triangle is 27 cm.
The other side can be calculated by using the Pythagorean theorem.
c^2 = a² + b²
b = √(c² - a²)
b = √((27)² - (22.5)²)
b = √(729 - 506.25)
b = √222.75 = 15cm
Hence, The other possible length for the third side of the triangle is 15 cm.
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what measrment is equal to 6 kilograms
Answer:
6000000 mg
13.2277 lb
6000 g
13.2276 pounds
Step-by-step explanation:
Hopefully I am right but those are all I can find that are equal to 6 kilograms.
Which of the following best describes a chord?
A. A line segment from the center of a circle to any point on the circle
B. A line segment that intersects a circle at exactly one point
C. A line segment that is on the outside of a circle
D. A line segment that has both endpoints on a circle
Chord of a circle is a straight line segment whose endpoints both lie on the circle.
Which line is referred to as a chord?A chord is a line segment that connects any two locations on the circle’s circumference.A straight line segment that connects and includes two points on a circle. A straight line connecting two points on a curve. 3.: an unique mood or temperament. I hit a responsive chord.
A chord is a line segment that connects two points on a curve in plane geometry. The word is frequently used to denote a line segment with endpoints on a circle. A chord is a line segment that connects two points on any curve, such as an ellipse. The diameter of a circle is defined as a chord that goes through its center point. The word chord is derived from the Latin chorda, which means bowstring.
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Segment JK has endpoints J(2,4) and K(6,2). You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image over the x-axis. Where is the final image of K?
The location of the point k after dilation and reflection over the x-axis is (3,-1).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that Segment JK has endpoints J(2,4) and K(6,2). You dilate the segment using a dilation centered at the origin with a scale factor of 1/2 and then reflect the image over the x-axis.
Dilation of the point will be,
J(2,4) = j'(1,2
K(6,2) = k'(3,1)
The reflection over the x-axis of point k is,
k'(3,1) = ( 3,-1)
Hence, the point k will be (3,-1)
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Solve for x.
8 = 2x+ 4
what does x=
Answer: x = 2
Step-by-step explanation:
8 = 2x + 4
2x = 8-4
= 4
x = 4 ÷ 2
= 2
x = 2
What it would look like if it was an actual equation :
8 = 2₂ + 4
Answer:
x = 2
Simple Algebraic EquationsTerminology
Variable: Any letter than stands for a value than can be solved and change value.
Coefficient: The number right before a variable (without being separated by an operator). It is a multiplication factor for a variable. Basically, it's just a way to express what you are multiplying a variable by,
If the coefficient is 1, it means [variable] * 1. 1[variable]
If the coefficient is 3, it means [variable] * x. 3[variable]
etc.
Constant: A fixed value (i.e. 3, 8, 1928). A variable is not a constant because if you were to add a coefficient (not including 0) to the start of a variable, the result would change depending on the value of the variable.
How to Solve
To solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation with only the same variable on the same side with all the constants on the other side.
Do this with this rule that is extremely important in ALL of math beyond per-algebra and algebra.
Rule
If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.
Q)Subtract 4 on both sides to isolate the variable.
8 - 4 = 2x + 4 - 4
Simplify by combining like terms.
4 = 2x
Divide 2 on both sides to solve for x as the coefficient is currently 2.
[tex]\frac{4}{2} =\frac{2x}{2}[/tex]
Simplify.
x = 2
What is the coefficient of 3x²?
So on solving the provided question we can say that here, coefficient of 3x² is 3
What is the coefficient?A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include: The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.
here,
coefficient of 3x² is 3
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