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2 years ago

Please help me, please

Mathematics

1 answer:

AlladinOne [14]2 years ago

6 0

Answer:

$9\pi \: (x - {4})^{2}$

9π ( x - 4

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A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D

Alika [10]

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y\times a)\times (y\times b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 \times 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360$

So basically 15 by 24 is the new dimensions :)

6 0

2 years ago

−1/2 (x+2) + 112x = 3<br><br> x=?

AysviL [449]

Given equation :−1/2 (x+2) + 112x = 3

We have -1/2 in front of parenthesis on left side .

It's better to remove fraction in an equation, in order make it easier to solve.

In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.

Multiplying each term in the equation by 2, we get

2* −1/2(x+2) +2* 112x = 2*3.

On simplifying this step, we get

-1(x+2) +224x = 6.

Distributing -1 over (x+2), we get

-x -2 +224x = 6

Combining like terms on left side, -x+224x=223x

223x -2 = 6

Adding 2 on both sides, we get

223x -2+2 = 6+2

223x = 8

Dividing both sides by 223, we get

223x/223 = 8/223.

x= 8/223.

6 0

3 years ago

80% of __ is 16 help

S_A_V [24]

Answer:

80% of 20 is 16.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Line h is represented by the following equation 2x+2y=8

finlep [7]

Answer:

Step-by-step explanation:

To have infinitely many solutions, the lines must be identical consisting of exactly the same points to make it. This means when in simplest form their equations are the same as well.

Simplify 2x+2y=8 by dividing by 2 throughout the entire equation. It becomes x+y = 4. This equation matches B.

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2 years ago

HELP ME ASAP PLS

Alla [95]

The vertex point is (0,4)
The two other points are (-2,0)(2,0)

6 0

2 years ago