Answers
Answer:
D. 10
Step-by-step explanation:
To find the distance between two points, use the distance formula:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}[/tex]
Define the two points:
[tex]\textsf{Let }(x_1,y_1)=(4,-3)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(-4,3)[/tex]
Substitute the two defined points into the distance formula and solve for d:
[tex]\implies d=\sqrt{(-4-4)^2+(3-(-3))^2}[/tex]
[tex]\implies d=\sqrt{(-4-4)^2+(3+3)^2}[/tex]
[tex]\implies d=\sqrt{(-8)^2+6^2}[/tex]
[tex]\implies d=\sqrt{64+36}[/tex]
[tex]\implies d=\sqrt{100}[/tex]
[tex]\implies d=\sqrt{10^2}[/tex]
[tex]\implies d=10[/tex]
Therefore, the distance between the two given points is 10 units.
Formula given by
[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
[tex]\\ \tt{:}\longrightarrow D=\sqrt{(-4-4)^2+(3+3)^2}[/tex]
[tex]\\ \tt{:}\longrightarrow D=\sqrt{8^2+6^2}[/tex]
[tex]\\ \tt{:}\longrightarrow D=\sqrt{10^2}[/tex]
[tex]\\ \tt{:}\longrightarrow D=10units[/tex]
Option D
Related Questions
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.
________ – 5xy3 + 9x2y
0
5xy3
9x2y
8y4
4xy3
its a multiply chose
Answers
The missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4 include the following:
A. 0
C. 9x^2y
E. 4xy^3
What is a polynomial function?In Mathematics, a polynomial function simply refers to a type of mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.
In Mathematics, the canonical form for a polynomial in one variable (x) is given by this mathematical expression:
[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]
Since the degree of a polynomial function is the sum of exponents in each of its term, the required answer options must have exponents that are equal to those of the given polynomial function and these include the following:
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Answer: A C E
Step-by-step explanation:
Tyrone has $95 to spend. He already bought pants for $22. How many $5 t-shirts can he buy if he wants to have at least $15 left over?
a. Write an inequality that demonstrates this situation
b. solve your inequality
c. Explain what your answer means to Tyrone
Answers
Answer:
a. Write an inequality that demonstrates this situation
Let x be the number of $5 t-shirts Tyrone can buy
The inequality that demonstrates this situation is:
x*5 + 22 <= 95 - 15
b. solve your inequality
x5 + 22 <= 80
x5 <= 58
x <= 11.6
x <= 11
c. Explain what your answer means to Tyrone
Tyrone has $95 to spend, he already bought pants for $22, so he has $95-22 = $73 left to spend. He wants to have at least $15 left over after buying t-shirts, so he can buy up to $73-15 = $58 worth of t-shirts. Each t-shirt costs $5, so he can buy a maximum of 11 t-shirts (58/5=11.6) with no remainder. So Tyrone can buy 11 t-shirts and he will have $73-11*5 = $18 left. This means that Tyrone can buy 11 t-shirts and still have $18 left over.
Step-by-step explanation:
Circle all perfect squares:
49
32
2
9
42
16
Answers
49 = 7x7
9 = 3x3
16 = 4x4
What are the properties of midline theorem?
Answers
The midline theorem in Geometry claims that cutting along the midline of a triangle creates a segment that is parallel to the base and half as long.
It is a theorem used in coordinate geometry and calculus. If P1(x1, y1) and P2(x2, y2) are the coordinates of a line, then the midpoint formula is given as Midpoint = [(x1 + x2)/2, (y1 + y2)/2]
Property of the midpoint theorem are:
If we join the midpoints of the three sides of the triangle we get 4 smaller and congruent triangles.A line drawn through the midpoint of one side of a triangle that is parallel to another side will bisect the third sideThe two triangles must have the same size and shape, so all three sides have the same length, and all three angles have the same measure.The theorem applies SAS congruencyTo know more about midline theorem visit:
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A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answers
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
Determine the power and the rms value for each of the following signals:
a) 5 + 10cos(10t + π/3)
b) 10cos(100t + π/3) + 16 sin(150t + π/5)
c) (10 + 2 sin (3t)) cos 10t
d) 10 cos(5t)cos(10t)
e) 10 sin(5t)cos(10t)
f) e^(jαt) cos(w0t)
Answers
The power and the r m s value for each of the following signals are a)p=50w and r m s =7.07 b)p=178w, r m s =√178 c)p=51w, r m s =√51
d)p=25w, r m s =√25 e)p=25w, r m s =√25 and f)p=1/2, r m s =√1/2.
(a) 5+10cos(100t+π/3)
=A cos(w0t+θ)
power of the signal
P=10^ 2/2=100/2=50w
p=50w
r m s value of the signal
=√50
=7.07
b) 10cos(100t+π/3)+16sin(150t+π/5)
power of the signal.
p=10^ 2/2+16^ 2/2
p=178w
r m s value of the signal=√178
c) (10+2sin(3t)cos10t
=10cos10t+2sin3tcos210t
=2sin3tcos10t
=1/2(sin(3+10)+sin(3-10))
(sin a cos b=1/2(sin(a + b)+sin(a-b))
=2x1/2(sin13t-sin7t)
=sin13t-sin7t
=10cos10t+sin13t-sin7t
power of the signal is
p=10^ 2/2+1^ 2/2+1^ 2/2
p=51w
r m s value of the signal=√51
d) 10 cos(5t)cos(10t)
=10(cos(5+10)T+ cos (5-10)t/2
(cos a cos b=1/2(cos a+ cos b)+cos(a-b))
=10(cos(15)t+ cos (-5)t/2
=5cos15t-5cost
power value of the signal
p=5^ 2/2+5^ 2/2
p=25w
r m s value of the signal=√25
e) 10 sin(5t)cos(10t)
=10(sin(5+10)t+ sin(5-10)t/2
=10/2(sin15t-sin5t)
=5sin15t-5sin5t
power of the signal
p=5^ 2/2+5^ 2/2
p=25w
r m s value of the =√25
F) f) e^(jαt) cos(w0t)
=e jαt cos wot
=(cosαt+ cos wot+jsin2tcoswot
=(cos(α+wo)t+ cos(α-wo)t/2+j(sin(2+wo)t+ sin cos-wot/2
=1/2cos(α+wo)T+1/2cos(α-wo)T
power of the signal
p=(1/2)^ 2/2+(1/2)^ 2/2+(1/2)^ 2/2+(1/2)^ 2/2
p=1/2
r m s value=√1/2
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[tex]\pi[/tex]
Would the following compound inequality be classified as an “and” inequality or an “or” inequality? Inequality: 6 > x + 1 > 3 dont guess
Answers
The inequality 6 > x + 1 > 3 is 'And' type Inequality.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
An 'Or' inequality is also referred to as a disjunction.
In other words, there is no connection on the number line between the range of values that meet either component of the inequality. Finding a truthful statement that satisfies either one of the inequality conditions or both inequality conditions is the aim whenever 'Or' compound inequalities are solved.
For example, x > 7 OR x < 3
Another name for a compound inequality with a 'And' is a conjunction. Compound inequality of this kind is stated as a long inequality, such as
3 > x > 9. Similar to 3>x and x > 9, this is.
The solutions to this and other compound inequalities fall within a range of potential values between 3 and 9. The range of values used to solve "And" inequalities must meet both requirements. These inequalities display a range of overlapping values.
So, the inequality is 'And' type of Inequality.
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The principal claims he only loses about 30 students a year. Do the values in the table support his claim? explain.
Answers
Indeed, the values in the table back up his assertion.
What is unitary method?
This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.
We typically utilize this technique for math calculations.
This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.
According to our question-
2% of 250 = 5, 4% of 200 = 8, and 8% of 150 = 12.
5 + 8 + 12 = 25
Hence, Indeed, the values in the table back up his assertion.
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PLEASE HELP (picture provided)
Answers
Answer:
Step-by-step explanation:
its the next one down
How do you learn 4x tables?
Answers
When you multiply 4 with any number, you can use the doubling-up trick (that's the one you used for the two times table) twice. Here is an example: 2 x 4 is the same as 2 + 2 = 4 and then 4 + 4 = 8. So, 2 x 4 = 8.
Here is next double, double example are: 5 x 4 is the same as 5 + 5 = 10, so then 10 + 10 = 20. So, the answer is 5 x 4 = 20.
Here, is the table of four.
4×1=4
4×2=8
4×3=12
4×4=16
4×5=20
4×6=24
4×7=28
4×8=32
4×9=36
4×10=40
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(−6,4) and (−1,−8)
Answers
So on solving provided question we can say that given coordinates are
(−6,4) and (−1,−8)so equation is x - y +10 = 0
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
given coordinates are
(−6,4) and (−1,−8)
so equation is
y-y1 = m(x-x1)
y-4 = x +6
x - y +10 = 0
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find the perimeter of equivaul triangle whose each sides is 7cm
Answers
Answer:
21 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides equal.
So the perimeter of the equilateral triangle
= 3 x side
= 3 x 7
= 21 cm
Hence,
The perimeter of the equilateral triangle is 21 cm.
Haley started by putting $862 in her account, and she will deposit an additional $71 each week. Ezra made an initial deposit of $58, and he will add $473 more each week. Eventually, Haley and Ezra will each have the same amount saved. How many weeks will that take? What is that amount?
Answers
The amount that they will have saved after 2 weeks is $1,737.
What is Amount?Tom, you can refer to a quantity or number of something using the word "amount." It is typically used to refer to an amount of money, like when people discuss their income, but it can also be used to describe a quantity of something, such as the volume of water in a tank or the time required to complete a task.
We must divide the difference between Ezra and Haley's initial deposits by the difference between their weekly installments to figure out how many weeks it will take them to save the same amount of money. In this instance, their initial deposits differed by $804 ($862 - $58), while their weekly installments differed by $402 ($71 - $473). We can calculate that it will take them two weeks to save the same amount of money by dividing $804 by $402.
After two weeks, they will have $1,737 in savings. Haley will have $1,737 ($862 + $71 + $71 + $703) and Ezra will have $1,737 ($58 + $473 + $473 + $733) in their accounts after two weeks.
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Jee from Boton goe to hi grandpa Iaac in New York by bu at an average peed of 35 mph and it take him 6 hour. In a while, Jee and Iaac go back from New York to Boton in Iaac' car at an average peed of 42 mph. How long doe Jee' trip from New York to Boton take?
Answers
Jee's trip from New York to Boston would take approximately time 4.5 hours.
To calculate the time it would take Jee to travel from New York to Boston, we need to divide the total distance (approximately 280 miles) by the average speed (42 mph). This gives us a total time of 6.67 hours. We then need to subtract the time it took Jee to travel from Boston to New York (6 hours) to get the total time for the return trip. 6.67 hours - 6 hours = 4.5 hours. Therefore, Jee's trip from New York to Boston takes approximately time 4.5 hours. Jee's trip from New York to Boston would take approximately 4.5 hours.
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How do you find the 1st and 2nd element of a pair?
Answers
An ordered pair is a set of two values, (x,y), where x and y are the coordinates. In an ordered pair, the first element is typically referred to as the x-coordinate, or the "first component" and it represents the horizontal position of the point on a coordinate plane. The second element is typically referred to as the y-coordinate, or the "second component" and it represents the vertical position of the point on a coordinate plane.
So, to find the first and second element of a pair, you can refer to the first element as the x-coordinate or the first component and the second element as the y-coordinate or the second component.
For example, in the ordered pair (4,3), the first element is 4, which represents the x-coordinate, and the second element is 3, which represents the y-coordinate.
5 11 12+2 1 6= plese help me figuer this out
Answers
Answer:
51,328
Step-by-step explanation:
5 11 12+2 1 6=51328
Is (3,4, -2) a solution of the following system? 5x1 X2 + 2x3 = 7 -2x1 + 6x2 + 9x3 = 0 – 7x1 + 5x2 – 3x3 = -7
Answers
Yes, (3,4, -2) is a solution of the system. You can find the solution by substituting the values.
To check if (3,4,-2) is a solution of the system, we can substitute those values into each of the equations and see if they are true.
5x1 + 2x3 = 7
becomes
5(3) + 2(-2) = 7
which simplifies to
15 - 4 = 7
-2x1 + 6x2 + 9x3 = 0
becomes
-2(3) + 6(4) + 9(-2) = 0
which simplifies to
-6 + 24 - 18 = 0
-7x1 + 5x2 - 3x3 = -7
becomes
-7(3) + 5(4) - 3(-2) = -7
which simplifies to
-21 + 20 + 6 = -7
As we can see all the equation are true, (3,4,-2) is a solution of the system.
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expand and simplify, 7(3p+4)+5(2p-3)
Answers
Answer:
31p+13
Step-by-step explanation:
After expanding: 21p+28+10p-15
After simplifying: 31p+13
evaluate using order of operations: A = L=50 W= 15 give your answer in simplest form
Answers
The value of the equation A = LW is A = 750
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The value of L = 50
The value of W = 15
A = LW be equation (1)
Substituting the values of L and W in the equation , we get
A = 50 x 15
On simplifying the equation , we get
A = 750
Therefore , the value of A is 750
Hence , the equation is A = 750
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Triangle ABC ~ triangle DEF. Use the image to answer the question.
Determine the length of sides AB and BC in triangle ABC.
AB = 9.68, BC = 7.04
AB = 8.8, BC = 6.4
AB = 9.152, BC = 6.656
AB = 7.92, BC = 5.76
Answers
Answer:
AB = 9.68, BC = 7.04
Step-by-step explanation:
AC/DC = 6.71/6.1 = 1.1 This is the proportionality factor
6.4(1.1) = BC = 7.04
8.8(1.1) = AB = 9.68
Rose purchased a total of 17 books and toys for the Rupert play school. earn book cost $11 and each toy cost $6.How many books and toys did she buy for $157?
Answers
Answer: 11 Books, 6 Toys
Step-by-step explanation:
Let the number of books be B, and the number of toys be T
B+T=17
11B+6T=157
Let's use the elimination method:
11B+6T=157
6B+6T=102
And finally you get
5B=55
B=11
Use the value of B to get T
11+T=17
T=6
Therefore, the answer is
B=11,T=6
What is 2D coordinate system?
Answers
A two-dimensional (2D) coordinate system is a system used to define the position of points in a two-dimensional plane.
What is 2D coordinates system?A 2D coordinate system can also be used to represent other kinds of data, such as temperature, elevation, or pressure. In this case, the two coordinates are usually called the x-axis and y-axis, and they are both used to measure the same physical quantity.
It is most commonly used in mathematics and engineering to plot graphical data such as graphs, charts, and diagrams. In a 2D coordinate system, each point is represented by two numbers, called coordinates, which indicate the position of the point in relation to a fixed reference point, called the origin. These coordinates usually describe the horizontal (x) and vertical (y) distances between the point and the origin. The set of all points in the 2D coordinate system is called the coordinate plane.
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What are the 3 types of equality?
Answers
Equality is a fundamental component of a just and equitable society. It encompasses legal, social, and economic aspects, all of which are essential to ensure that all citizens are treated fairly and have access to the same rights and opportunities.
The 3 types of equalityLegal Equality: This type of equality is based on the laws and regulations of a society, which are designed to protect the rights of all citizens regardless of their gender, race, religion, or other characteristics.Social Equality: This type of equality focuses on the outcomes of a society in terms of how the members are treated. It looks at the quality of life, access to education, and economic opportunity for all citizens.Economic Equality: This type of equality looks at the distribution of wealth within a society. It examines how income and wealth are shared among various groups, and how this affects their ability to access resources and opportunities.Learn more about equality: https://brainly.com/question/9873909
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I’ll give brainliest please help! Using point slope form find the equation of the line with the given slope that passes through the given point
Answers
Answer:
it’s A
Step-by-step explanation:
I graphed it out
HELP ASAP ( 15 POINTS)
Answers
The constant of proportionality, given that this is a proportional relationship, is 11. 7
How to find the constant of proportionality?To find the constant of proportionality, the following formula is used :
= Y value / Corresponding x value
The constant of proportionality can only be found for proportional relationships.
In this instance, we have x and y of ( 7, 81. 9 ).
The constant of proportionality is:
= 81 .9 / 7
= 11. 7
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Go step by step to reduce the radical sqrt 162
Answers
The final solution after reducing the given number radical is; 9√2
How to simply a number radical?
The radical of a number is defined in the same way we define the root of a number. The root can be a square root, fourth root or even cube root, up to the nth root.
Now, we are given the number radical as; √162
Now, 162 can be broken down into its' factors as √(81 * 2)
We know from properties of surds that;
√(a * b) = √a * √b
Thus, we now have;
√162 = √81 * √2
This can be simplified further to get;
9√2
Thus, that is the final solution to the number radical simplification.
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maryam reduced 6.25% if her present weight is 45kg what ws her previous one
Answers
Answer:47.8125kg
Step-by-step explanation:
x: previous weight
x = 45+45x6.25% = 47.8125
What is the equation of the line that passes through the point (-6, 5) and has a slope of 1/2
Answers
The equation of a line passes through the point (-6, 5) and
has a slope of 1/2 is y = (1/2)x + 8.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the point (-6, 5) and has a slope of 1/2.
First, we need to determine the y-intercept 'b'.
5 = (1/2)(-6) + b.
5 = - 3 + b.
b = 8.
y = (1/2)x + 8 is the required equation of the line.
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Given that 4,p,q,13 are consecutive terms of a a.p find the value of p and q
Answers
value of p = 7 and value of q = 10.
what is consecutive term?The word consecutive implies an unbroken sequence that means terms approaches forward by following a specific order. Within a consecutive sequence the gap between each term is the same.
What is the value of p and q?
given, 4, p, q, 13 are consecutive terms, find the value of P and Q.
As the above four are consecutive number so starting from the 4 we write the list in an unbroken sequence.
At first difference between highest and lowest number = 13- 4 = 9
now this difference is divided by the number of gaps between the sequence, we find there are 3 gaps between four numbers.
order of sequence = 9/ 3 = 3
now the next number after 4 will be 4+3 = 7
in the next, 7+3 =10
finally, we get 10+3 =13
so, the consecutive numbers are 4, 7, 10, 13.
As a result, p = 7 and q = 10
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A small object slides along the frictionless loop-the-loop with a diameter of 3 m. What minimum speed must it have at the top of the loop?.
Answers
The minimum speed object must have at the top of the loop is 3.8m/s.
Friction is the force that resists the motion of an object, it works in the opposite direction of applied force. Centripetal force is the force applied to the center of the body moving in a circular motion, whereas gravitational force is the pull of gravity on a body i.e., it attracts a body toward the ground.
Diameter of loop= 3m
thus radius = 1.5m
Centripetal force =< gravitational attraction the object has.
Centripetal force ,F=mv^2/r ----1
where M= mass v= velocity and r= radius
gravitational force is F=ma -----2
let 1=2
mv^2/r=ma
m is common so can be canceled out
a=v^2/r
for v= 9.8m/s^2
a= 9.8^2/1.5
a=3.834057903
Therefore, the minimum speed object must have at the top of the loop is 3.834m/s.
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