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2 years ago

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A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r

ectangle?
-9
09
O-3
O3

1 answer:

KIM [24]2 years ago

3 0

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

AC = 5y + 6
BD = 8y-3

5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

-3y = -9

Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

Learn more about rectangles here:

brainly.com/question/25292087

#SPJ1

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<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: $a^2+b^2=c^2$

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We're given:

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Plug these measurements into the Pythagorean theorem:

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which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

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Step-by-step explanation:

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This is called vertex form because it gives you the vertex is $(h,k)$ .

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This will require us to multiply the (x-2)(x-2) out:

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