Find the area of the figure. (Sides meet at right angles.)
1 answer:
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n = 4 means that you are going to divide the area in 4 equal parts, that means that the size of the intervals is [20-4] / 4 = 16 / 4 = 4.
Now you can estimate the area from 4 to 20, by adding the area from 4 to 8 + the area from 8 to 12 + the area from 12 to 16 + the area from 16 to 20
And estimate each small area by a rectangle or a trapezoid.
As a trapezoid, area of each region is [f(x) + f(x+4)] /2 [x +4 - x] = [f(x) + f(x+4)] /2 [4] =
=[f(x) + f(x+4)] / 8
Area from 4 to 8: [11 +25] / 8 = 4.50
Area from 8 to 12: [25+16]/8 = 5.125
Area from 12 to 16 = [16+9]/8 = 3.125
Area from 16 to 20 = [9+31]/8 = 5.00
Total area = 17.75
Answer: 17.75
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Answer:
Step-by-step explanation:
3x+y=-4 (1)
3x-4y=6 (2)
<em><u>solving by elimination:</u></em>
(1) - (2) ⇒
3x + y = -4
3x - 4y = 6
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0 + 5y = -10
5y = -10 ⇔ y = -2
(2) ⇒ 3x-4y=6 ⇒ 3x-4(-2)=6 ⇒ 3x = 6 - 8 = -2 ⇒ x = -2/3
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:)
