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schepotkina [342]
3 years ago
5

Find the area of the shaded region for the given figure in terms of x.

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

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Answer:

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Step-by-step explanation:

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2 years ago
The distance s (in feet) covered by a car t sec after starting is given by the following function. s = −t3 + 11t2 + 20t (0 ≤ t ≤
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4 years ago
Help ! solve the following system of equations <br><br> -9x+2y=-13<br><br> 2x-9y=20
Stella [2.4K]

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

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<em>Substitute y with -2.</em>

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Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

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5 0
3 years ago
Find the range of the function for the given domain, f(x)=3x+3; (-2,-1,0,1,2)
stich3 [128]

Answer:

Range: (-3,0,3,6,9)

Step-by-step explanation:

We need to evaluate each value in the domain of the function, so

f(-2)=3(-2)+3=-6+3=-3

f(-1)=3(-1)+3=-3+3=0

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f(1)=3(1)+3=3+3=6

f(2)=3(2)+3=6+3=9

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Step-by-step explanation:

First, we have to simplify reducing the number of terms, since there are like terms

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Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)

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3 years ago
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