Provide an appropriate response.
Without knowing the formula for determining the area of a triangle, a student investigated and determined a way to find the area. He tried several options, but decided to construct a rectangle by erecting parallel sides at right angles at each end of the general triangle. Examine his drawing. Which conclusion is correct? 
A. The constructed rectangle length is the same as the base of the triangle. No conclusion for area value.
B. The constructed rectangle has an area twice the area of the triangle. To find the area of a triangle, multiply one-half the base times the height.
C. The constructed rectangle is half the area of the triangle. To find the area of a triangle, multiply the base times the height and double.
D. The constructed rectangle is the same area as the triangle. To find the area of a triangle, multiply the base times the height.
Answer: D
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Factor completely.64x2 - 81
A. (8x + 9)(8x - 9) B. (8x + 9)2 C. (8x - 9)2 D. (64x + 1)(x - 81)
Follow the principles of estimation to find an approximate value.Estimate by rounding to the nearest hundred.629 × 549
A. 300,000 B. 345,321 C. 1100 D. 345,300
Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
? y = x2 y = 
A. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 2, f(x) is not differentiable at 
B. Since limx?1+ f '(x) = 
while limx?1- f '(x) = 1, f(x) is not differentiable at 
C. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 
, f(x) is not differentiable at 
D. Since limx?1+ f '(x) = 2 while limx?1- f '(x) = 2, f(x) is differentiable at 
Provide an appropriate response.The curve of a normal distribution has a shape that is a mirror image above the mean compared to below the mean. This means that a normal distribution has a 
curve.
Fill in the blank(s) with the appropriate word(s).