The lengths of one leg, a, and the hypotenuse, c, of a right triangle are given. Find the length of the remaining leg.a = 12, c = 15
A. 9
B. 11
C. 19
D. 12
Answer: A
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Solve the problem.Acetylene is a solvent frequently used to clean lubricants from machine components. Once used, the dirty solvent need not be discarded. It may be distilled to recover pure acetone from the soiled mixture. During a distillation cycle, 65% of the acetone can be recovered. Calculate the effective volume of 1 liter of acetone. [The effective volume is the original 1 liter plus the accumulated amount recovered from an infinite number of distillation cycles].
A. 2.857 L B. An infinite number of liters C. 1.538 L D. 1.650 L
Provide an appropriate response.Suppose that f(x) is a linear function with slope = -3 and y-intercept 
, then find the function f(x).
Fill in the blank(s) with the appropriate word(s).
Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.2, 
, 
, 
, . . .
A. yes, 
B. no
C. yes, 
D. yes, 
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -2x2 + 13x + 4
A. Increasing on (-?, 1); decreasing on ( -1, ?)
B. Increasing on 
; decreasing on 
C. Increasing on 
; decreasing on 
D. Increasing on (-?, 0); decreasing on ( 0, ?)