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2 years ago

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Mathematics

1 answer:

vichka [17]2 years ago

8 0

Answer:

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

$5x + 2 = 7x - 6$

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

$5x - 7x = - 2 - 6$

$-2x = -8$

Divide both sides by -2

$x = 4$

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

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2 years ago

Which of these functions has an inverse function? Select all that apply.

ElenaW [278]

ANSWER

y=x

y=x³

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A function, f(x) has an inverse if and only if

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Hence this function has an inverse.

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2 years ago

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Solve for x, Show your work: 1/2 (16 - x) = -12 (x + 7)

soldi70 [24.7K]

You have to get rid of 1/2 by multiplying it by its recriprocal which is like this:
1) 1/2 x 2/1 which equals to zero and you do the same to the other side.
2) -12 x 2/1 = -24x then multiply-24x with 7 which equals -168.
16-x= -24x -168
3) subtract 16 to the other side and subtract 24x with x
23x= -184
4) divide by 23 to isolate x and you get -8
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2 years ago

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Answer:

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3 years ago