Find an equation for the circle.Center (8, 10), tangent (touching at one point) to the x-axis
A. (x - 10)2 + (y - 8)2 = 10
B. (x - 8)2 + (y - 10)2 = 64
C. (x - 10)2 + (y - 8)2 = 64
D. (x - 8)2 + (y - 10)2 = 100
Answer: D
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Evaluate the improper integral or state that it is divergent.
A. ln 2
B. ln 7
C. - ln 2
D. ln 8
Factor out the GCF from the polynomial. If the GCF is 1, write prime.16m4 - 20m2
A. 4m2(4m2 + 5) B. m2(16m2 - 20) C. 4(4m4 - 5m2) D. 4m2(4m2 - 5)
Provide an appropriate response. Factor completely: 4x2 - 81y2
A. (4x + 9y)(4x - 9y) B. (2x - 9y)2 C. 4(x + 9y)(x - 9y) D. (2x + 9y)(2x - 9y)
Solve the problem.To approximate the velocity of a river, a circular paddle wheel with radius 0.43 feet is lowered into the water. If the current causes the wheel to rotate at a velocity of 14 revolutions per minute, what is the velocity of the current? Express the answer in miles per hour rounded to two decimal places if needed.
A. 37.82 miles per hour B. 0.43 miles per hour C. 0.07 miles per hour D. 0.21 miles per hour