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laila [671]
2 years ago
12

What transformation of the square root function comes from the constant

Mathematics
1 answer:
Leto [7]2 years ago
4 0

The required transformation is p=(\frac{v}{10.35} )^2

<h3>Transformation of functions</h3>

Given the function expressed as:

v=10.35 \times\sqrt{p}

We are to make p the subject of the formula. First, divide both sides by 10.35

\frac{v}{10.35} =\frac{10.35 \times\sqrt{p}}{10.35}\\ \frac{v}{10.35}=\sqrt{p}

Square both sides of the equation:

p=(\frac{v}{10.35} )^2

Hene the required transformation is p=(\frac{v}{10.35} )^2

Learn more on transformation here: brainly.com/question/17311824

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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
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The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

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