The perimeter p of the rectangle with length l and width w is:
p = 2l + 2w
that is, two times its length and two times its width, lets solve for the width w and substitute known data:
<span>p = 2l + 2w
</span>2w = p - 2l
w = (<span>p - 2l</span>)/2
w = (56 - (2*12))/2
w = (56 - 24)/2
w = 32/2
w = 16
therefore the width of the rectangle is 16 in

8 0

3 years ago

Why will the value of y for the function y equals 5x + 1 always be greater than that of y equals 4x + 1 with X greater than 1?

klemol [59]

You mean
the linear equations, 5x-y+1=0,4x-y+1=0
the slopes are 5 and 4 respectively.
it is clear that slope of first equation is greater that is it has a steeper graph therefore it Will always be greater than the other for x > 1
the same can be done by calculus; differentiation.

note y=5x+1 is always greater than y=4x+1 for all x>1

4 0

3 years ago

Read 2 more answers

What is the answer??

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

A(x, y)

rotated 180°: A'(-x, -y)

translated n units:

left (x - n, y)

right (x + n, y)

up (x, y + n)

down (x, y - n)

We have R(-3, 2)

rotated 180°: (-(-3), -2) = (3, -2)

translated 3 units left: (3 - 3, -2) = (0, -2)

7 0

3 years ago

A person filing her federal income tax return with the Single filing status had a taxable income of $79,950. According to the ta

Tom [10]

Answer:

The income that she will have left over after paying his

federal income tax = $63,775.

Step-by-step explanation:

The amount of taxable income = $79,950

So, the taxable income will be in the range from $33,950 to $82,250.

It means, there will be $4675 fixed tax and additional 25% tax on the amount over $33,950.

The amount over $33,950 = $79,950 - $33,950 = $46,000

The additional tax = 46000 × 0.25 = $11,500 ∵25% = 0.25

So, the total federal income tax will be: $11500 + $4675 = $16,175

Therefore, the income that she will have left over after paying his federal income tax = $79,950 - $16,175 = $63,775.

Keywords: income, income tax

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4 0

2 years ago