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2 years ago

Find the midpoint of the line segment with end points (-9,3), (5,11)

Mathematics

1 answer:

denis-greek [22]2 years ago

8 0

Answer:

The midpoint is (-2,7)

Step-by-step explanation:

To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2

(-9+5)/2 = -4/2 =-2

To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2

(3+11)/2 = 14/2 = 7

The midpoint is (-2,7)

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(02.01 LC)

ExtremeBDS [4]

Answer:

Yes it is a function

Step-by-step explanation:

We have to check the ordered pairs to find out if given relation is a function or not.

In an ordered pair, the first element represents the input and the second element represents the output.

The set of inputs is domain and output is range.

For a relation to be function, there should be no repetition in domain i.e there should be unique pairs of input and output.

In the given relation, the domain is {3,5,-1,-2}.

No element is repeated hence it is a function ..

7 0

2 years ago

Analyze the graph of the cube root function shown

Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 = a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 = a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

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7 0

1 year ago

A race car travels 100 feet in .5 seconds. At this rate of speed, how many feeet will the race car travel in a minute?

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

$\frac{100ft}{0.5s} * 60s$

$\frac{100 * 60}{0.5}$

$\frac{6000}{0.5}$

$12000ft$

5 0

2 years ago

Read 2 more answers

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which an

alex41 [277]

The question is incomplete. Here is the complete question:

Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.

(A) $\frac{22}{3}$

(B) $\sqrt[3]{22}$

(C) $\pm \sqrt[3]{22}$

(D) $\sqrt{22}$

Answer:

(B) $\sqrt[3]{22}$

Step-by-step explanation:

Given:

The equation to solve is given as:

$x^3=22$

Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.

For removing the exponent, we have to take cubic root on both the sides. As we know that,

$\sqrt[n]{x^n} =x$

So, taking cubic root on both the sides, we get

$\sqrt[3]{x^3}=\sqrt[3]{22}\\\\x=\sqrt[3]{22}$

Therefore, the second student has written the correct answer and hence the correct option is (B).

6 0

3 years ago

Read 2 more answers

An angle measures 67.2° less than the measure of a supplementary angle. What is the measure of each angle?

arlik [135]

Two supplementary angles always adds up to 180 degrees. If an angle is 67.2 degrees less than the measure of a supplementary angle, an equation can be formed where "A" represents the larger angle, and (A - 67.2) represents the smaller angle.

(A - 67.2)+A=180

(Combine the A's)

2A - 67.2=180

(Add 67.2 to both sides)

2A = 247.2

(Divide by 2 to both sides)

A = 123.6

123.6 degrees is the larger angle.

The smaller angle is represented by (A - 67.2). We now know the value of A so lets plug it in. (123.6 - 67.2) = 56.4. 56.4 is the value of the smaller angle.

We can double check to make sure we got the right answer.

123.6 + 56.4 = 180

4 0

2 years ago