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3 years ago

Which of these points lies on the line described by the equation below? y - 4 = -2(x - 6)

1 answer:

3 0

Y - y₁ = m(x - x₁)
y - 4 = -2(x - 6)
y - 4 = -2(x) + 2(6)
y - 4 = -2x + 12
+ 4 + 4
y = -2x + 16

The answer is D, (6, 4).

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Part 1) The expression for the perimeter is $P=4(25z-3)$ or $P=100z-12$

Part 2) The perimeter when z = 15 ft. is $P=1,488\ ft$

Step-by-step explanation:

Part 1)

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$625z^{2}-150z+9$

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Equate the equation to zero

$625z^{2}-150z+9=0$

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

$625z^{2}-150z=-9$

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Complete the square. Remember to balance the equation by adding the same constants to each side

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Rewrite as perfect squares

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$A=625(z-0.12)(z-0.12)=[25(z-0.12)][25(z-0.12)]=(25z-3)^{2}$

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we have

$P=100z-12$

substitute the value of z

$P=100(15)-12=1,488\ ft$

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