Find an equation for the sphere with the given center and radius.Center (0, -9, -2), radius = 3
A. x2 + y2 + 3z2 + 18y + 4z = -76
B. x2 + y2 + z2 + 18y + 4z = -76
C. x2 + y2 + 3z2 + 18y - 4z = -76
D. x2 + y2 + z2 + 18y - 4z = -76
Answer: B
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Estimate the value of the quantity.The table shows the velocity of a remote controlled race car moving along a dirt path for 8 seconds. Estimate the distance traveled by the car using 8 subintervals of length 1 with left-end point values.
A. 114 in. B. 248 in. C. 124 in. D. 129 in.
Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic.5x2 - 7y2 - 10x + 56y - 142 = 0
A. (x - 4)2 + (y - 1)2 = 35; circle
B. (x - 1)2 + (y - 4)2 = 35; circle
C. 
+ 
= 1; ellipse
D. 
- 
= 1; hyperbola
Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 48 feet from point A and 60 feet from point B. The angle ACB is 53°. How far apart are points A and B?
A. 64.6 feet B. 49.4 feet C. 87.4 feet D. 96.8 feet
Find the vertex of the parabola.h(x) = 
x2 - 6x - 
A. 
B. 
C. 
D. 