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Maslowich
3 years ago
11

Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
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The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d²  11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

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Thirs term = 24

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2 years ago
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The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
Kruka [31]

Answer:

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6 0
3 years ago
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Step2247 [10]

Answer:

Step-by-step explanation:

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C = 3.1415(1.5) so

C = 4.71225 feet is how far he goes in 1 rotation. If he travels 88 feet in 1 second, we can figure the number of rotations by dividing 88 by 4.71225 to give us the unit rate (or, rotations per second his car makes). This quotient is 18.67 feet per sec, which rounds to 19, choice B.

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