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3 years ago

Determine if the expressions are equivalent: 7+ 7x; 7 x + 1/7

Mathematics

1 answer:

patriot [66]3 years ago

5 0

<u>The given expressions 7+ 7x ; 7 x + 1/7 are not equivalent or equal </u>

<u>to each other </u>

<u />

<u>Step-by-step explanation:</u>

Let us firstly assume that 7 + 7x is equivalent ( to 7(x + 1/7) so that means

7 + 7x = 7(x + 1/7)

7 + 7x = 7x + 7(1/7)

7 + 7x = 7x + 1

7x + 7 = 7x + 1

Now, subtracting 7x from both sides, we get:

7x - 7x + 7 = 7x - 7x + 1

(7 - 7)x + 7 = (7 - 7)x + 1

(0)x + 7 = (0)x + 1 thus their occurs a false statement:

7 = 1 ( we know, 7 >1)

Thus we can say that

<u>7 + 7x is NOT equivalent to 7(x + 1/7)</u>

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3 years ago

If a rectangle has an area of 2x^2+7x+3 find the perimeter

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Answer:

Perimeter of the rectangle=6x+8 square units

Step-by-step explanation:

Given that area of rectangle is $2x^2+7x+3$

Area of rectangle=lw square units

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$2x^2+7x+3=(x+3)(2x+1)$

Comparing the above equation with the given area we get

lw=(x+3)(2x+1)

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To find the perimeter :

Perimeter of the rectangle=2(l+w) square units

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$=2(3x+4)$

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3 years ago

I don't understand linear functions, thanks!

ANEK [815]

Answer:

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3 years ago

a cylinder has a radius of 5 inches and the total volume of 175 pi cubic inches. what is the height of cylinder?

DENIUS [597]

Answer:

<h2>The height of cylinder = 7 inches</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

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H - height

We have

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Substitute:

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