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3 years ago

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Area of rectangle is $2x^2+x-45$

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

Required:

Area of rectangle

Formula:

$Area\,\,of\,\,rectangle=Length*Width$

Putting values of length and width:

$Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45$

So, Area of rectangle is $2x^2+x-45$

Keywords: Area of rectangle

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1/2 (4r+6) what dose (4r+6) mean

Alisiya [41]

Answer: 5

This is because (4r + 6) means you take r and multiply that number by 4.

Because there is no number, r would equal one in this case.

4 • 1 is 4

4 + 6 is 10

This would give us 1/2(10)

Half of 10 is 5.

Therefore, the answer is 5.

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3 years ago

Anju had 3 (3 / 4) cup of sugar . She used 1 (2 / 3 )cup of sugar to bake a cake . How mush sugar does anju have lift ?

Artist 52 [7]

Answer:

$y=\frac{1}{12} cup\ of\ suger$

Step-by-step explanation:

From the question we are told that:

Sample size $n=3(3/4)=9/12$

Amount used $x=1(2/3)=2/3$

Generally the equation for sugar lift $y$ is given as is mathematically given by

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$y=\frac{9}{12} -\frac{2}{3}$

$y=\frac{1}{12}$

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3 years ago

A group of 3 adults and 5 children pay a total of $52 for movie tickets. A group of 2 adults and 4 children pay a total of $38 f

Ksivusya [100]

<span>x = child ticket price
y = adult ticket price
5x+3y=52 the cost accounting for the first group.
3x+2y=38 the cost accounting for the second group.

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3 years ago

On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). T

patriot [66]

Answer:

C'(4, 0)

Step-by-step explanation:

Translated 6 units to the right means that the x-value increases by 6.

1 unit up means y-value increases by 1.

(-5 + 6, -1 + 1)

(-2 + 6, -1 + 1)

The second point must be C, as the translation lines it up with one of the answers.

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3 years ago

What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

Andru [333]

Answer:

x =2.8074

Step-by-step explanation:

2^x = 7

Take the log of each side

log (2^x) = log (7)

We know log a^b = b log a

x log 2 = log 7

x = log (7) / log 2

x =2.80735

To the nearest tenth thousandth

x =2.8074

4 0

3 years ago