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Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula
to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula
to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
Answer:
y= -3/2x+9
Step-by-step explanation:
Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9
Answer:
f(-2) = -5
f(0) = 5
f(1) = 10
Step-by-step explanation:
f(-2) = 5(-2) + 5 → -10 + 5 = -5
f(0) = 5(0) + 5 → 0 + 5 = 5
f(1) = 5(1) + 5 → 5 + 5 = 10