Solve the problem.A lake lies between A and C, and lines AB and DE run north-south. If AB = 8.0 mi, DE = 1.3 mi, and DC = 1.4 mi, how far is it from A to C? Round to the nearest tenth.

A. 7.2 mi
B. 7.4 mi
C. 9.0 mi
D. 8.6 mi


Answer: D

Mathematics

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Solve the problem.Translate into the language of a derivative of the number of businesses with respect to time. N is the number of businesses in the downtown district after time t. The number of businesses downtown is decreasing at a slower and slower rate.

A. > 0,   < 0
B.  < 0,   = k, k is a constant
C.  < 0,   > 0
D.  < 0,   < 0

Mathematics

Find  and .f(x, y) = (6x5y3 - 6)2

A.  = 60x4y3(6x5y3 - 6);  = 36x5y2(6x5y3 - 6)
B.  = 30x4y3 = 18x5y2
C.   = 36x5y2(6x5y3 - 6);  = 60x4y3(6x5y3 - 6)
D.  = 2(6x5y3 - 6);  = 2(6x5y3 - 6)

Mathematics

Provide an appropriate response.Find the area of a circle with a radius of 12 cm (round to the nearest hundredth).

What will be an ideal response?

Mathematics

Write the augmented matrix for the system. Do not solve the system. 8x + 5y + 6z = 40 9x + 4y + 3z = 39 4x - 2y + 6z = -10

A.

B.

C.

D.

Mathematics