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Answer:
y -4 = -2(x -(-11))
Step-by-step explanation:
The point slope formula is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
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So, the boxes in order from left to right are k, m, h.
The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.
Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...
Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
