Solve the problem.Benjamin never has more than 23 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 6 hours per week reading. Write a system of inequalities to describe the situation. Let x represent the number of hours for reading and y represent the number of hours for working out.
A. x + y ? 23
y ? 6
x ? 0
B. x + y ? 23
x ? 6
y ? 0
C. x + y ? 23
x ? 6y
x ? 0
y ? 0
D. x + y ? 23
x ? 6y
x ? 0
y ? 0
Answer: B
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Provide an appropriate response.Find the distance from A to C on the surveyed plot shown in the figure.
A. 409.1 ft B. 588.0 ft C. 345.0 ft D. 574.0 ft
Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = -2i - 5j; w = -3i + j
A. v1 = - 
i + 
j, v2 = 
i - 
j
B. v1 = - 
i + 
j, v2 = - 
i - 
j
C. v1 = - 
i + 
j, v2 = - 
i - 
j
D. v1 = - 
i + 
j, v2 = - 
i - 
j
Solve the problem. Use 3.14 for ?. Round your answer to the nearest hundredth.Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 32 in. and a base of 54 in. If the glitter costs $0.90 per ft2, how much will it cost to cover the felt?
A. $1555.2 B. $43.20 C. $10.80 D. $129.60
Find the center and the radius of the circle.x2 + y2 - 6x + 12y = -29
A. (3, -5); r = 4 B. (6, -6); r = 4 C. (3, -6); r = 4 D. (3, -6); r = 6