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Goryan [66]
3 years ago
5

The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

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The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y
goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}

Therefore,

tan \theta =\frac{x}{y}

Plugging values of \theta =30^o and x=36.25, we get

tan 30^o=\frac{36.25}{y}

Plugging value of tan 30^o=0.577 in above equation, we get

0.577=\frac{36.25}{y}

On multiplying both sides by y, we get

0.577\times y=\frac{36.25}{y}\times y

0.577y=36.25

Dividing both sides by 0.577, we get

\frac{0.577y}{0.577} =\frac{36.25}{0.577}

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>
3 0
2 years ago
N - 1/8 = 3/8<br> I am no smort and i forgot to study for a test =|
sdas [7]

Answer:

  • \boxed{\sf{n=\dfrac{1}{2}=0.5 }}

Step-by-step explanation:

Isolate the term of n from one side of the equation.

<h3>n-1/8=3/8</h3>

<u>First, add by 1/8 from both sides.</u>

n-1/8+1/8=3/8+1/8

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

3/8+1/8=4/8

<u>Common factor of 4.</u>

4/4=1

8/4=2

<u>Rewrite as a fraction.</u>

=1/2

n=1/2

<u>Divide is another option.</u>

1/2=0.5

n=1/2=0.5

  • <u>Therefore, the final answer is n=1/2=0.5.</u>

I hope this helps you! Let me know if my answer is wrong or not.

3 0
2 years ago
13. Use the distributive property
Brrunno [24]

Answer:

4x-14 jrjejejeueuueuw

5 0
2 years ago
Read 2 more answers
The absolute value function, f(x) = |x + 2|, is shown.
Georgia [21]

ANSWER

all real numbers

EXPLANATION

The given absolute value function is

f(x) =  |x + 2|

This function is obtained by shifting the graph of

y =  |x|

to the left by 2 units.

Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.

5 0
2 years ago
-10ab+2ab^2-9ab+7 what is the simplest form
vesna_86 [32]

Answer:

-19ab + 2ab^2 +7

Step-by-step explanation:

all you do is combine the like terms. and the omly like terms are -10ab and -9ab. 2ab^2 is not one of the like terms simply because of that ^2.

3 0
3 years ago
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