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anygoal [31]
3 years ago
7

7) Find the area of the shaded region:

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

The area of the biggest rectangle =

(9x - 2)(2x + 7) = 18 {x}^{2}  + 63x - 4x - 14  = 18 {x}^{2}   + 59x - 14

The area of the of the smallest rectangle inside=

3x(x + 12) = 3 {x }^{2}  + 36x

Then the area of the shaded region =

18 {x}^{2}  + 59x - 14 - (3 {x}^{2}   + 36x)    = 18 {x}^{2}  + 59x - 14 - 3 {x}^{2}  - 36x = 15 {x}^{2}  + 23x - 14

So, we choose B.

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Answer:

They used 16.4 centimeters

7 0
2 years ago
A pile of coins, consisting of quarters and half dollars, is worth $11.75. If there are 2 more quarters than half dollars, how m
Black_prince [1.1K]

The pile contains 17 quarters and 15 half-dollars.

Let <em>x</em> = the number of quarters and <em>y</em> = the number of half-dollars.

We have two equations:

(1) $0.25<em>x</em> + $0.50<em>y</em>  = $11.75

(2) <em>x</em> = <em>y</em> +2

Substitute the value of <em>x</em> from Equation (2) into Equation (1).

0.25(<em>y</em>+2) + 0.50<em>y</em> = 11.75

0.25<em>y</em> + 0.50 + 0.50<em>y</em> = 11.75

0.75<em>y</em> = 11.75 – 0.50 = 11.25

<em>y</em> = 11.25/0.75 = 15

Substitute the value of <em>y</em> in Equation (2).

<em>x</em> = 15 + 2 = 17

The pile contains 17 quarters and 15 half-dollars.

<em>Check</em>: 17×$0.25 + 15×$0.50 = $4.25 + $7.50 = $11.75.

4 0
3 years ago
I need to find surface area
boyakko [2]

Answer:

489.6

Step-by-step explanation:

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6 x 6 = 36

36 x 2 x 4 x 1.7

36 x 2 = 72

72 x 4 x 1.7

72 x 4 = 288

288 x 1.7 = 489.6

8 0
3 years ago
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Given f ( x ) = x 2 , after performing the following transformations: shift upward 76 units and shift 63 units to the right, the
Luden [163]

Answer:

f(x)= (x^2 - 63) + 76

Step-by-step explanation:

4 0
2 years ago
85 points, Brainliest, ill report random answers&gt;ban
Leya [2.2K]

 all the coordinates of the original triangle have been multiplied by 1/2

A (-4,-6) x 1/2 = -2,-3

B (-8,2) * 1/2 = -4,1

C (-2,4)  *1/2 = -1,2

 so the scale factor is 1/2

 Answer is B

8 0
3 years ago
Read 2 more answers
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