The answer is a............
Answer:
3.14 * (7 in) · (7 in)
Step-by-step explanation:
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The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.
The area of a parallelogram is the product of base length and height, just as it is for a rectangle.
A = bh
A = (15 ft)(10 ft) = 150 ft²
Mr Morris should purchase 150 ft² of material.
_____
If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
Answer:
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