Find the center and radius of the circle.(x + 4)2 + (y + 2)2 = 9
A. (-2, -4); 3
B. (-4, -2); 3
C. (2, 4); 9
D. (4, 2); 9
Answer: B
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Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is = 9.8t - 8.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, integration is not possible without knowing the initial position. B. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. C. No, displacement has nothing to do with the position of the body. D. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
Determine the values of x for which the function is continuous. If the function is not continuous, determine the reason.f(x) =
A. Not continuous at x = 3; function not defined B. Continuous for all x C. Not continuous at x = 7, 6; function not defined D. Not continuous at x = 3, 7, 6; function not defined
Two trucks leave a city at the same time. One heads south at an average rate of 58 mph. The second truck heads due east at an average rate of 63 mph.After 1 hour and 35 minutes, how far apart are the trucks?
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Factor the expression completely, if possible.49y4 + 56y3 + 16y2
A. y2(7y + 4)2 B. y2(7y - 4)2 C. y2(7y + 4)(7y - 4) D. (7y2 + 4y)2