The letters x and y represent rectangular coordinates. Write the equation using polar coordinates (r, ?).x2 + 4y2 = 4
A. 4 cos2 ? + sin2 ? = 4r
B. cos2 ? + 4 sin2 ? = 4r
C. r2(cos2 ? + 4 sin2 ?) = 4
D. r2(4 cos2 ? + sin2 ?) = 4
Answer: C
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Factor completely, or state that the polynomial is prime.x3 - 5x2 - 36x + 180
A. (x - 5)(x - 6)2 B. prime C. (x - 5)(x + 6)(x - 6) D. (x + 5)(x + 6)(x - 6)
Find the amount of sales tax or excise tax. Round to the nearest cent.Sales price: $30,082Sales tax rate: 5.25%
A. $15,793.10 B. $1579.31 C. $1880.13 D. $1278.49
Solve the problem.Two machines are turned on at 8:00 A.M. If one can produce 73 items each hour and the other can produce 54 items each hour, at what time will they produce a total of 889 items?
A. 4:30 P.M. B. 2:00 P.M. C. 3:00 P.M. D. 4:00 P.M.
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.x + 3y + 2z=114y + 9z=-12x + 7y + 11z=- 1
A. {(
+ 20, 
+ 3, z)}
B. {(
+ 20, - 
+ 3, z)}
C. {(
+ 20, - 
- 3, z)}
D. {(- 
+ 20, - 
+ 3, z)}