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Gennadij [26K]
2 years ago
7

Pls help me calculate the total area of compound shapes?!?!?

Mathematics
1 answer:
natali 33 [55]2 years ago
7 0
Easy
The total area of the first shape is 42 and the total area of the second shape is 21.

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Step 1

<u>Find the slope of the line</u>

we know that

the formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

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substitute the values

m=\frac{(6-7)}{(-3+6)}

m=\frac{(-1)}{(3)}

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Step 2

with the slope m and the point A(-6,7) find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

y-y1=m*(x-x1)

substitute the values

y-7=(-1/3)*(x+6)

y=(-1/3)x-2+7

y=(-1/3)x+5

therefore

<u>the answer is</u>

y=(-1/3)x+5

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