Solve the congruence.7x ? 8 (mod 9)
A. 6
B. 8
C. 3
D. 5
Answer: D
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Give a geometric description of the set of points whose coordinates satisfy the given conditions. x2 + y2 + z2 > 25
A. All points outside the cylinder with radius 5 B. All points outside the sphere of radius 5 C. All points in space D. All points on the surface of the cylinder with radius 5
Solve the equation for the unknown variable.logy
= 2
A. y = 25
B. y = 
C. y = 2
D. y = 
Compute the quadratic form xTAx for the given matrix A and vector x.A = 
, x = 
A. 4
+ 
- 2
B. 4
+ 
- 2
+ 16x1x2 + 4x2x3
C. 4
+ 
- 2
+ 8x1 + 10x2 + 2x3
D. 4
- 
+ 2
- 16x1x2 - 4x2x3
Solve the problem.Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 8 feet more than 5 times the width. He needs 124 feet of fencing to do the job. Find the length and width of the garden.
A. length: 48 feet; width: 8 feet
B. length: 58 feet; width: 10 feet
C. length: 53 feet; width: 9 feet
D. length: 104
feet; width: 19
feet