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3 years ago

A square patio has a perimeter of (32x+8) feet. What is the length of the patio?

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

$\mathbf{Shape = Square}$

$\mathbf{Perimeter = 32x + 8}$

The perimeter of a square is:

$\mathbf{Perimeter = 4 \times Length}$

So, we have:

$\mathbf{4 \times Length = 32x + 8}$

Divide both sides by 4

$\mathbf{Length = 8x + 2}$

Hence, the length of the patio is: 8x + 2

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Daniel [21]

Answer:

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Step-by-step explanation: detailed explanation and calculation is shown in the image below

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3 years ago

What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.

nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

$f(x) = {x}^{2}$

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

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-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

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given

$f(x) = 2( {x + 2)}^{2} + 1$

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

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AveGali [126]

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Step-by-step explanation:

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Ilia_Sergeevich [38]

Answer:AGC and DGH are opposite angles.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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