Write the equation for the shape described.The circle that is tangent to the x-axis at the point (8, 0) and passes through the point (0, -4)
A. (x - 8)2 + (y + 10)2 = -10
B. (x + 10)2 + (y - 8)2 = 100
C. (x + 8)2 + (y - 10)2 = -10
D. (x - 8)2 + (y + 10)2 = 100
Answer: D
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Solve the problem.The length L (in in.) of a pendulum is slowly decreasing at the rate of 0.12 in./s. What is the time rate of change of the period T (in s) of the pendulum when L = 13.6 in., if the equation relating the period and length is
A. -0.010 in./s B. -0.0052 in./s C. -0.043 in./s D. -0.14 in./s
Factor completely.m6 - 64
A. (m + 2)(m - 2)( m2 - 2m + 4)2 B. (m - 2)2( m2 + 2m + 4)2 C. (m + 2)(m - 2)( m2 + 2m + 4)( m2 - 2m + 4) D. (m - 2)6
Find the real solutions, if any, of the equation. Use the quadratic formula.4x2 + 17x - 15 = 0
A.
B.
C.
D.
Solve the nonlinear system.x2 + y2 = 81 y = x - 9
A. (0, -9), (0, 9), (-9, 0), (9, 0) B. (0, 9), (-9, 0) C. (0, -9), (9, 0) D. no real solution