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2 years ago

The length of a rectangle is a inches. Its width is 5 inches less then the length. Find the area and perimeter of the rectangle

Mathematics

1 answer:

Travka [436]2 years ago

3 0

Answer:

Area = (a² -5a) in²

Perimeter = (4a -10) in

Step-by-step explanation:

Let the length of the rectangle be a.

Given that, its width is 5 in less than the length.

So,

length ⇒ a

width ⇒ (a - 5)

First, let's find the area of the rectangle.

Area = length × width

Area = a ( a - 5 )

Solve the brackets.

Area = (a² -5a) in²

Now, let us find the perimeter of the rectangle.

Perimeter = 2 ( l + w )

Perimeter = 2 ( a + a - 5 )

Perimeter = 2 ( 2a - 5 )

Perimeter = (4a -10) in

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3 years ago

Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?

Rasek [7]

The function $g(x)=6(3)^{x}$ represents a reflection of $f(x)=6(\frac{1}{3})^{x}$ across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ $f(x)=6(\frac{1}{3})^{x}$

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ $g(x)=6(\frac{1}{3})^{-x}$

∵ $(a)^{-n}=(\frac{1}{a})^{n}$

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∴ $(\frac{1}{3})^{-x}=(3)^{x}$

∴ $g(x)=6(3)^{x}$

The function $g(x)=6(3)^{x}$ represents a reflection of $f(x)=6(\frac{1}{3})^{x}$ across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

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3 years ago

Read 2 more answers

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hichkok12 [17]

Answer:

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Step-by-step explanation:

-5x+12x-8x=-24

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4 years ago

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ale4655 [162]

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Step-by-step explanation:

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3 years ago

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Irina-Kira [14]

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