Find the focus and the directrix of the parabola.x = 3y2 + 12y + 8
A. ; x = -
B. (-11, -4); x = -13
C. ; x = -
D. (-1, -4); x = -7
Answer: C
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Use scientific notation to solve the problem.The national debt of a small country is $7,880,000,000 and the population is 2,183,000. What is the amount of debt per person?
A. $3.61 x 106 B. $36.10 C. $3.61 D. $3.61 x 103
Zane received a quote to move his belongings to his new house. The estimate from the mover is $675 for 6 hours of packing and 5 hours of moving. Zane thinks he can reduce his cost by doing some of the packing and moving himself. If he does, the cost will decrease to $425 for 4 hours of packing and 3 hours of moving. If the mover charges a set hourly rate for packing and another set hourly rate for moving, what are these hourly rates?
A. packing: $50; moving: $75 B. packing: $40; moving: $80 C. packing: $80; moving: $40 D. packing: $75; moving: $50
Answer the following:
a. Prove that having n vertices, where n is a positive integer, is an invariant for graph isomorphism. b. Prove that having a vertex of degree 3 is an invariant for graph isomorphism.
Solve.A rectangular sheet of paper measures ft by
ft. What is its area?
A. ft2
B. ft2
C. ft2
D. ft2