Answer:
320 cu. yd.
Step-by-step explanation:
V = Bh where B is the area of the base (triangle) and h is the height of prism
B = bh/2 = 8(8)/2 = 64/2 = 32
height of prism = 10
V = 32(10) = 320 cu. yd.
Let x be the length of the rectangle, then its width is x-2.
The area of a rectangle is L x W OR x.(x-2). Expand it = x² - 2x = AREA.
Or x² - x = 168
x²-2x-168 = 0. This is a quadratic equation to solve for x:
x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a
you will find x' =14 and x" = -12 (extraneous value not to be considered), so
x=14
Answer: Choice A) y - 10 = 2(x - 3)
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Explanation:
We can rule out choices C and D because this diagonal line has a positive slope (as it moves uphill when moving to the right).
So m = 2 must be the slope.
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Recall that
y - y1 = m(x - x1)
represents the point slope form of a linear equation.
The point shown on this graph is (3,10) meaning that x1 = 3 and y1 = 10 pair up together.
So,
y - y1 = m(x - x1)
y - 10 = 2(x - 3)
which points to <u>choice A</u> as the final answer
