Solve the problem.The medians of a triangle intersect at a point. The distance from the vertex to the point is exactly two-thirds of the distance from the vertex to the midpoint of the opposite side. Find the exact distance of that point from the vertex A(3, 4) of a triangle, given that the other two vertices are at (0, 0) and (8, 0).

A.
B. 2
C.
D.


Answer: D

Mathematics

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Construct the requested tree diagram.Clark is selecting new eyeglasses. He can choose styles A, B, or C in either the color black or orange. Construct a tree diagram that shows all possible choices that Clark can make.

A.

B.

C.

D.

Mathematics

Solve the problem.If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how much money will be in the bank after 30 days?

A. $2.33 B. $4.65 C. $0.30 D. $9.30

Mathematics

Solve each problem.A rectangular field is to be enclosed on four sides with a fence. Fencing costs  for two opposite sides, and  for the other two sides. Find the dimensions of the field of area  that would be the cheapest to enclose.

A. 15.7 ft @ $7 by 54.9 ft @ $2 B. 8.4 ft @ $7 by 102.6 ft @ $2 C. 54.9 ft @ $7 by 15.7 ft @ $2 D. 102.6 ft @ $7 by 8.4 ft @ $2

Mathematics

Write an equation for a function whose graph fits the given description.The graph of f(x) = x2 is shifted 10 units to the left and 3 units downward.

A. y = (x + 10)2 - 3 B. y = (x + 3)2 - 10 C. y = (x - 10)2 - 3 D. y = (x - 3)2 + 10

Mathematics