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3 years ago

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

Mathematics

1 answer:

Monica [59]3 years ago

6 0

Answer:

$PQ = 42$

Step-by-step explanation:

Given

$PT = 3x + 3$

$TQ = 5x - 9$

Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

$PT = TQ$

This implies

$3x + 3 = 5x - 9$

Solve for x

$3x - 5x = -3 - 9$

$-2x = -12$

$x = -12/-2$

$x = 6$

Length PQ can then be calculated using:

$PQ = PT + TQ$

$PQ = 3x +3 + 5x -9$

Collect Like Terms

$PQ = 3x+ 5x +3 -9$

$PQ = 8x -6$

Substitute 6 for x

$PQ = 8 * 6 - 6$

$PQ = 48 - 6$

$PQ = 42$

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If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.

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2 years ago

Riya is applying mulch to her garden. she applies it at a rate of 250 , 000 cm 3 250,000 cm 3 250, comma, 000, start text, space

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The rate in

$\frac{ {m}^{3} }{ {m}^{2} } \: is \:0.25\frac{ {m}^{3} }{ {m}^{2} }$

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we already know that 1m = 100cm.

so, each side of this cube is 100cm in length.

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Learn more about problems on garden, refer :

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Disclaimer : This question was given incomplete on portal.Here is complete question.

Question : Riya is applying mulch to her garden.She applies it at a rate of 250,000 cm^3 of mulch for every m^2 of garden space. At what rate is riya applying mulch in m^3/m^2

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