Answer: 3
Step-by-step explanation:
A circle has a diameter with endpoints at –3 18i and 7 – 6i. which point is also on the circle? –7 7i 5 12i 12 – i 14 11i
The only point that has the same distance from the center as the others are point (5 + 12i). Therefore, the answer is option b. (5 + 12i).
To find which point is also on the circle, we can use the distance formula to find the distance between each point and the center of the circle. The center of the circle can be found by taking the midpoint of the diameter, which has endpoints at -3+18i and 7-6i. The midpoint can be found by averaging the x-coordinates and the y-coordinates of the two endpoints:
x-coordinate: (-3 + 7)/2 = 2
y-coordinate: (18 - 6)/2 = 6
So the center of the circle is at (2, 6).
Now we can use the distance formula to find the distance between each point and the center of the circle:
Point a: |(-7 - 2) + (7 - 6)| = |-9 + 1| = 10
Point b: |(5 - 2) + (12 - 6)| = |3 + 6| = 9
Point c: |(12 - 2) + (-1 - 6)| = |10 + 7| = 17
Point d: |(14 - 2) + (11 - 6)| = |12 + 5| = 17
The distance from the center of the circle to each point is the radius of the circle, so all points on the circle should have the same distance from the center. So, the only point that has the same distance from the center as the others is point b.
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The complete question is -
A circle has a diameter with endpoints at -3 + 18i and 7 - 6i. Which point is also on the circle?
a. -7 + 7i
b. 5 + 12i
c. 12 - i
d. 14 + 11i
A teacher buys a yogurt cup for $2.00 and a textbook for $13.00 for each student in their classroom. The teacher spends a total of $405.00 for all of the yogurt cups and textbooks.
The number of students the teacher bought for is 27.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of a yogurt cup = $2.
Cost of a textbook = $13
Cost for one students = 2 + 13 = $15
Total cost = $405
The number of students.
= Total cost / Cost of one student
= 405 / 15
= 27
Thus,
The number of students is 27.
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7. Two functions f and g are defined over the set R of real numbers as follows: f:x-2x-3 g:x→x²+5 Find f[g(x - 1)]
Value of f[g(x-1)] is 2x^2-4x+9. The solution has been obtained by applying the multiplication operation on functions and substituting the functions.
What are operations on functions?Just like we add, subtract, multiply and divide the terms in a function, the functions can also be added, subtracted, multiplied or divided in a similar way.
Suppose there are two functions f(x) and g(x). The notations are as follows:
For Addition: (f+g)(x) = f(x) + g(x)
For Subtraction: (f-g)(x) = f(x) - g(x)
For Multiplication: (f×g)(x) = f(x) × g(x)
For Division: (f/g)(x) = (f(x))/(g(x))
When we substitute one function into another, a function is generated in which one function is considered to be a part of another function.
Now, f(g) = 2g-3
We are given g = x^2+5
So, g(x-1) = (x-1)^2+5
Substituting the value of g(x-1) in f(g), we get
f(g(x-1)) = 2((x-1)^2+5)-3
= 2x^2-4x+9
Hence, the value of f[g(x-1)] is 2x^2-4x+9.
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Forty people were randomly sampled and surveyed as to the number of pets in their household. The results are listed below.
To find the number of people with different amounts of pets, we need to first count the number of instances each pet number occurs.The survey of forty people revealed that there were three people with four pets, seven people with three pets, nine people with two pets, seventeen people with one pet
2, 0, 3, 1, 0, 0, 4, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3
There are:
* 3 people with 4 pets
* 7 people with 3 pets
* 9 people with 2 pets
* 17 people with 1 pet
* 8 people with 0 pets
To find the number of people with different amounts of pets, we need to first count the number of instances each pet number occurs. To do this, we can go through the list of numbers and count how many times each number appears.
For example, the number "2" appears three times in the list, meaning that there are three people with two pets. If we do this for all the numbers in the list, we get the results listed above.
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what type of polynomial is 8a^6b^3
Answer: Trinomial
Step-by-step explanation:
Tri- means three terms.
Match the best answer on the right to the item on the left.
Group of answer choices
α [ Choose ]
Continuous variable [ Choose ]
Normal distribution [ Choose ]
q = 1 – p [ Choose ]
N [ Choose ]
x [ Choose ]
σ² [ Choose ]
σ [ Choose ]
Left skewed distribution [ Choose ]
Data is collected by watching the behavior of sample [ Choose ]
Data is collected by imposing a treatment on a sample and examining the results [ Choose ]
Data is collected as a result of computer modeling [ Choose ]
Data is collected by asking a series of questions [ Choose ]
Data is collected that does not fairly represent the population [ Choose ]
A measure of the spread or variability of the data set [ Choose ]
n [ Choose ]
r [ Choose ]
Most frequently occurring value in the date set [ Choose ]
data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.
Mode [ Choose ]
x Continuous variable
n N
σ σ²
r q = 1 – p
Mode Most frequently occurring value in the date set
Left skewed distribution Data is collected that does not fairly represent the population
Normal distribution Data is collected by asking a series of questions
A measure of the spread or variability of the data set Data is collected by watching
Data is collected by imposing a treatment on a sample and examining the results Data is collected as a result of computer modeling
x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set, a left skewed distribution is data collected that does not fairly represent the population, a normal distribution is data collected by asking a series of questions, a measure of the spread or variability of the data set is data collected by watching the behavior of sample, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling.
x is a continuous variable, n is N, σ is σ², r is q = 1 – p, mode is the most frequently occurring value in the date set. Data collected by asking a series of questions is a normal distribution, data collected by watching the behavior of sample is a measure of the spread or variability of the data set, and data collected by imposing a treatment on a sample and examining the results is data collected as a result of computer modeling. Left skewed distribution is data collected that does not fairly represent the population.
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Explain the importance of lightbulb hape for future bulb development. Ue one example from the text and include how the textual evidence upport your anwer
Round shape of the lightbulb gives advantage over any other shape for the future development of the bulb.
The round shape of the bulb scattered the light towards outside more evenly. The light source inside the lightbulb, like filament, LED, etc., kept at the focus of the round shaped bulb. round shape bulb gives the lensing(concave lens) effect to the glass that outwardly bends the light so the light cannot focus in a particular direction, but rather scattered more evenly in all directions. Any other shape like, rectangular, prismatic, or cubic shapes do not allow even scattering of light. These shapes bends the light non-uniformly through corners and walls.
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please help me estimate 437.184
The number 437.184 can be rounded or estimated as 437 if estimated to the tenths.
What is the meaning of estimating in math?In mathematics, estimation implies approximating or rounding numbers. This is commonly used to make calculations simpler or to apply maths to real life. For example, 8 oranges divided by 6 people is equal to 1.33; however as calculating 0.33 when cutting oranges might be quite difficult it is better to estimate it as 1.
How to estimate numbers?The general rule is that if a number is above five you should estimate it to the next unit, but if the number is below 5 you should estimate it to 0. Here is an example:
You can estimate 12 to 10 but you need to estimate 18 to 20Based on the above, the number 437.184 can be estimated as 437.Learn more about numbers in: https://brainly.com/question/17429689
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What is the first step in substitution process?
Solve one of the equations for one of the variables as the first step in substitution method.
In order to write one of the equations as x = or y =, we must first determine which variable in the two equations is the simplest to solve for. The other equation will then have either the x or the y replaced appropriately. The outcome will be a single-unknown equation that we can solve. Isolating a variable whose coefficient is 1 or -1 is useful.
Step 1: Solve one of the equations for one of the variables.
Step 2: Enter the expression as a replacement in the remaining equation. The outcome will be a single-variable linear equation that can be solved.
Step 3: Resolve the last equation.
Step 4: To find the value of the other variable, substitute the result into the other equation.
Step 5: The intersection of the two equations, which represents the coordinates of the ordered pair, is the system's solution.
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A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
No, the constant of proportionality is 2.
Yes, the constant of proportionality is 2.
No, there is no constant of proportionality.
Yes, there is no constant of proportionality.
Answer:
It's B
"Yes, the constant of proportionality is 2."
Step-by-step explanation:
The time or X shows the same numbers shown in distance or Y
it's just Time x2 for distance
Last month you spent $30 on clothing. This month you spent 130% of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
Answer:
You spent $39 this month on clothing
Step-by-step explanation:
Set up the proportion
[tex]\frac{x}{30} =\frac{130}{100}[/tex]
Cross multiply
130*30 = 100*x
Simplify
3900 = 100x
Solve
x = 39
Solving Equations solve for the variable in each of the following equations. Write your final solution as an equation
please tell me the equation for each 4
Answer:
c = 10
w = -6
r = 6
b = 1.5 or 3/2
Step-by-step explanation:
1) 2c + 4 = 7c - 46
2c - 2c + 4 = 7c - 2c - 46
4 + 46 = 5c - 46 + 46
50 = 5c
c = 10
2) -3w + 8 = -6w - 10
-3w + 6w + 8 = -6w + 6w - 10
3w + 8 - 8 = -10 - 8
3w = -18
w = -6
3) (1/6)r + 1 = 3r - 16
(1/6)r - (1/6)r + 1 = 3r - (1/6)r - 16
1 + 16 = (17/6)r - 16 + 16
(17/6)r = 17
r = 17*(6/17)
r = 6
4) -7b - 1 = -5b - 4
-7b + 7b - 1 = -5b + 7b - 4
-1 + 4 = 2b - 4 + 4
2b = 3
b = 3/2 or 1.5
Hope this helps!
A company is developing packaging for a new product as shown below. Choose the expression that can be used to find the volume of the packaging. A. ( 2 × 3 × 4 ) + ( 2 × 9 × 2 ) 2 × 3 × 4 + 2 × 9 × 2 B. ( 2 × 4 × 3 ) + ( 2 × 9 × 4 ) 2 × 4 × 3 + 2 × 9 × 4 C. ( 2 × 4 × 3 ) + ( 4 × 9 × 4 ) 2 × 4 × 3 + 4 × 9 × 4 D. ( 3 × 4 × 4 ) + ( 2 × 9 × 2 ) pls help
(2 × 4 × 3) + (4 × 9 × 4) 2 × 4 × 3 + 4 × 9 × 4 this expression is the correct answer.
What is value?Value is a concept that describes the worth of something in relation to its utility, purpose or importance. Value can refer to tangible items like money, or intangible concepts like morality, loyalty, or trust. Value is subjective, as it differs between individuals and cultures. It can also be expressed in terms of time, effort, resources, or any combination of these. Ultimately, value is a personal judgment of what is valuable and important to each individual.
The expression C. (2 × 4 × 3) + (4 × 9 × 4) 2 × 4 × 3 + 4 × 9 × 4 can be used to find the volume of the packaging.
This expression will calculate the volume of the packaging by multiplying the length, width, and height of both sections of the packaging, then adding the two products together.
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Which class has the smaller inner quartile range?
Mrs. Moore class has the smaller interquartile range
Which class has the smaller interquartile range?From the question, we have the following parameters that can be used in our computation:
Dot plots
On the dotplots, we have the following readings
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
The difference between Q3 and Q1 is the IQR
So, we have
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
IQR 5 4
4 is less than 5
Hence, Mrs Moore class has smaller IQR
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is 5/5 greater then 1 or less then 1??
Answer:
It's exactly 1 .........
−6x + 2 = −10
Solve for x
Show work
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ -6x + 2 = -10
Now we have to,
→ Find the required value of x.
Then the value of x will be,
→ -6x + 2 = -10
Subtract RHS with the number 2:
→ -6x = -10 - 2
→ -6x = -12
Cancel negative sign from both sides:
→ 6x = 12
→ x = 12/6
→ [ x = 2 ]
Hence, the value of x is 2.
A line with a slope of 1 passes through the points (10,c) and (6,4). What is the value of c
We also know that the line passes through the point (6,4), so we can substitute these values into the equation of the line and solve for c:
4 = 1(6) + c
c = -2
What is slope?The slope of a line is a measure of how steep the line is. It is the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. The slope is also commonly referred as the "gradient" of a line. A line with a positive slope goes up from left to right, a line with a negative slope goes down from left to right, and a line with a slope of 0 is a horizontal line.
What is the formula to calculate the slope with given two points?The formula to calculate the slope (m) with given two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). Since the line has a slope of 1 and passes through the point (10, c), we know that the y-intercept is c.
We also know that the line passes through the point (6,4), so we can substitute these values into the equation of the line and solve for c:
4 = 1(6) + c
c = -2
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Why isn’t x squared subtract 81 the same as x squared plus 81
Answer:
Step-by-step explanation:
0
3 3/5 divided by 1/2
Answer: 7 1/5
Step-by-step explanation: First convert 3 3/5 into an improper fraction which is 18/5. Then flip 1/2 which becomes 2/1. Do: 18/5 x 2/1. You get 36/5. Reduce that into a mixed number by dividing 5 into 36. 5 goes into 36 seven times. 36 minus 35 is 1. Put that over 5 and you get the answer being 7 1/5.
Which word does not belong with the other A TAPE B TWINE C CORD D YAM
Answer: yam
Step-by-step explanation: Tape, Twine, and Cord are all materials we use. Yam is a type of vegetable so the answer is D, Yam
Which three lengths CANNOT be the lengths of the sides of a triangle?
a
21 m, 6 m, 10 m
b
11 m, 11 m, 12 m
c
23 m, 17 m, 14 m
d
5 m, 7 m, 8 m
The three lengths that cannot be the lengths of the sides of a triangle are 21m, 6m, and 10m and it can be determined by using the triangle inequality theorem. The correct option is A.
What is a triangle?The triangle inequality theorem can be used to determine which three lengths cannot be the lengths of the sides of a triangle.
According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than or equal to the third side of the triangle.
Option C -Sides of the triangle are: 23m, 17m, and 14m
Option C represents the sides of a triangle because the sum of any two given sides is greater than the third side.
Option B - Sides of the triangle are: 11m, 11m, 12m
Option B represents the sides of a triangle because the sum of any two given sides is greater than the third side.
Option D- Sides of the triangle are: 5m, 7m, 8m
Option D represents the sides of a triangle because the sum of any two given sides is greater than the third side.
Option A-Sides of the triangle are: 21m, 6m, and 10m
Option A- does not represent the sides of a triangle because the sum of any two given sides is not greater than or equal to the third side.
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Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 124.8 volts, and use a class width of 0.2 volts. Does the result appear to have a normal distribution? Why or why not
The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.
what is normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster near the middle of the range and the remaining ones decrease symmetrically toward one of the extremes.
Maximum Value=121.9
Number of classes=5 (say)
Range=121.1-121.9=0.8
Minimum Value= 121.1
width of each class= 0.8 / 5 = 0.16 = 0.2 (approx)
Therefore, we must create classes so that the first class has the minimum value and the last class contains the highest value. The class interval will therefore be 121.1 - 121.3, 121.3 - 121.5, and so on with a class width of 0.2 volt.
Voltage (volts) Frequency
121.1 - 121.3 2
121.3 - 121.5 5
121.5 - 121.7 10
121.7 - 121.9 6
121.9 - 122.1 2
The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.
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Read each passage and choose which text feature could support the ideas in the text you just read.
A satellite is an object that orbits a planet.
Manmade satellites orbit Earth and serve many purposes. Satellites send phone calls, radio signals, and
television signals from one place to another. NASA uses satellites to take pictures.
The pictures help scientists learn about conditions on Earth and other planets.
We can see here that the text features that could support the ideas in the passage are :
Definition: "A satellite is an object that orbits a planet."
Examples: "Manmade satellites orbit Earth and serve many purposes. Satellites send phone calls, radio signals, and television signals from one place to another. NASA uses satellites to take pictures."
Cause and effect: "The pictures help scientists learn about conditions on Earth and other planets."
What is a text?A text is a written or spoken piece of information or communication. It can take many forms such as a book, article, poem, speech, or conversation. It can contain a variety of content such as stories, information, instructions, or arguments. The purpose of a text can vary widely depending on the context in which it is created, including entertainment, education, persuasion, or documentation.
We see here that the text features likely to be seen in the passage has been identified as seen above.
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In AGHI, g = 9.6 inches, m/I=80° and m/G=15°. Find the length of h, to the
nearest 10th of an inch.
Answer: In triangle AGH, we can use the Law of Sines. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
so, a/sin(A) = b/sin(B) = c/sin(C) = 2R where R is the circumradius of the triangle.
Given, g = 9.6 inches, m/I = 80° and m/G = 15°
AG = h, angle A = (180 - 80) = 100, angle G = (180-15) = 165
So we can use the Law of Sines to find the h,
h/sin(100) = g/sin(165) = 9.6 / sin(165) = 9.6 / sin(165) = 9.6 / 0.9659 = 9.98 inch.
Rounded to the nearest 10th of an inch, h = 9.98 inches.
Step-by-step explanation:
Answer: 85
Step-by-step explanation:
You are a volunteer for the school store. One of the most popular items is
strawberry-banana orange juice. There are two local vendors that will
deliver the juice to the school store at the beginning of every month.
Healthy Drinks, Inc. charges $0.39 per bottle with a delivery fee of $25. The
Squeeze charges $0.18 per bottle with a delivery fee of $65. Let C
represent the cost of purchasing bottles of juice from Healthy Drinks, Inc.
and b represent the number of bottles. Write an equation that relates C and
b for this problem situation. (Instead of using y and x you need to use the
letters c and b).
An equation that relates c and b for this problem situation is 39b - 18c = 2085.
What is equation?The superposition principle is met by a linear equation. Give your function the name f(x), where x may be a vector. If f(x1 + x2) = f(x1) + f(x2) and f(αx) = αf, then the function f is linear (x). This is a very potent quality that enables you to reduce a complex situation to a collection of simple ones.
Derivatives, integrals, expectations (derived from probability), Laplace and Fourier transforms are a few examples of linear functions (the following are also referred to as operators).
Let the no, of bottles be x
Equation for Healthy Drinks
c = 0.39x + 25
[tex]\text x = \dfrac{(c - 25)}{0.39}$[/tex]
Equation for Squeeze
b = 0.18x + 65
[tex]\text x = \dfrac{(b - 65)}{0.18}$[/tex]
As x is equal x, then their values are equal too
[tex]\dfrac{(c - 25)}{0.39} = \dfrac{(b - 65)}{0.18}$[/tex]
Cross multiply
0.39(b - 65) = 0.18(c - 25)
0.39b - 25.35 = 0.18c −4.5
0.39b - 0.18c = 25.35 −4.5
0.39b - 0.18c = 20.85
multiply each by 100
39b - 18c = 2085
Thus, an equation that relates c and b for this problem situation is 39b - 18c = 2085.
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Is there a triangle whose sides are of length 2cm 3cm and 5cm?
It is not possible to construct a triangle whose sides are 2cm 3cm and 5cm because the sum of two sides(2 cm and 3 cm) are equal to the third sides(5 cm).
In the given question, we have to check that it is possible to construct a triangle whose sides are 2cm 3cm and 5cm.
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 and 3
2 + 3 = 5
5 = 5
Now we add 2 and 5
2 + 5 > 3
7 > 3
Now we add 3 and 5
5 + 3 > 2
8 > 2
It is not possible to construct a triangle whose sides are 2cm 3cm and 5cm because the sum of two sides(2 cm and 3 cm) are equal to the third sides(5 cm).
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How do you calculate marginal cost and marginal revenue?
A unit's marginal cost, as used in economics, is the difference in total production costs that results from creating or manufacturing an extra unit. To determine the marginal cost, divide the changes through production expenses even by quantity that has changed.
Marginal revenues are calculated by such a corporation by dividing the change in the total revenue by the total change in output quantity.
What is marginal cost?The additional cost to create a new item is known as the marginal cost. Say, for instance, that it costs $100 to produce 100 vehicle tyres. It would cost $80 to produce one extra tyre. The cost to produce one more unit of an item or service is therefore known as the marginal cost.
Marginal cost is equal to the difference between two costs (Change in quantity)
The volume of output either increases or decreases, which affects quantity.
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In economics, a unit's marginal cost is the difference in overall production costs that arise from producing or constructing an additional unit. Divide the changes in production costs even by the altered quantity to get the marginal cost.
Marginal revenues are computed by dividing the change in total income by the total variation in the output quantities.
What is marginal cost?The marginal cost is the additional expense incurred while producing a new good. Consider the example of 100 car tires costing $100 to create. One additional tire would cost $80 to create. The marginal cost is consequently the cost incurred when producing an additional unit of a good or service.
The difference between two costs (Change in quantity) is known as the marginal cost. Quantity is impacted by either an increase or decrease in output volume.
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How many solutions does the pair of linear equations y 0 and y =- 5 has?
Pair of linear equations y = 0 and y = -5 has no solutions as the equations represents the parallel lines.
As given in the question,
Given pair of linear equations are as follow:
y = 0
y = -5
Here linear equation y = 0 represent the whole x- axis.
And the linear equation y = -5 represents the line parallel to x -axis below the origin of x- axis.
Both the linear equation y = 0 and y = -5 represents the parallel lines so they don't intersect at any point.
And has no solution.
Therefore, the given pair of linear equations y = 0 and y = -5 represents parallel lines and has no solution.
The above question is incomplete , the complete question is:
How many solutions does the pair of linear equations y = 0 and y = - 5 has?
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What are the methods of solving a quadratic equation for Class 10?
The methods of solving a quadratic equation are: Factoring, Quadratic Formula, Completing the Square, and Graphing.
There are several methods for solving a quadratic equation of the form ax² + bx + c = 0. The most common methods are:
1. Factoring: Factor the equation into the form (ax + b)(cx + d) = 0 and set each factor equal to zero. This will give you the solutions for x.
2. Quadratic Formula: Use the quadratic formula x = (-b ± √(b^2 - 4ac)) / 2a to find the solutions for x.
3. Completing the Square: Rewrite the equation in the form a(x + b/2a)^2 + c = 0 and then solve for x.
4. Graphing: Plot the equation on a coordinate plane and find the x-coordinates of the points where the graph crosses the x-axis (the solutions for x).
It is important to note that not all the methods are always applicable for all types of the quadratic equations.
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PLEASEEE HELP 100 POINTS
A line has a slope of 0 and a y-intercept of –3. Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = - 3
Step-by-step explanation:
a line with a slope of zero is a horizontal line, parallel to the x- axis with equation
y = c ( where c is the value of the y- coordinates the line passes through )
the line passes through (0, - 3 ) , the y- intercept with c = - 3 , then
y = - 3 ← equation of line
note this equation cannot be expressed in slope- intercept form