Solve the problem.Determine a polynomial that represents the area of the figure.

A. 6x2 + 3
B. 3x2 + 11x + 6
C. 3x2 + 6
D. 6x2 + 11x + 3


Answer: D

Mathematics

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Factor by grouping.x3 + 5x2 + 7x + 35

A. (x2 + 7)(x - 5) B. (x2 + 7)(x + 5x) C. (x3 + 7)(x + 5) D. (x2 + 7)(x + 5)

Mathematics

Write the standard form of the equation of the circle described.Center (-8, -9), r = 4

A. (x + 8)2 + (y + 9)2 = 4 B. (x - 8)2 + (y - 9)2 = 16 C. (x - 8)2 + (y - 9)2 = 4 D. (x + 8)2 + (y + 9)2 = 16

Mathematics

Solve.A service station normally charges $69.95 for an automobile tune-up. A coupon entitles the customer to a 15% discount. What is the cost with a coupon?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.A certain expansion bridge normally measures 1,294 feet but expands by 1.6 feet on a hot day. If there were no expansion joints to absorb the elongation, the bridge might buckle as shown in the figure. Estimate the height of the bulge, AB. Note that chord BC is approximately the same as the length of arc BC. Round your answer to the nearest hundredth.

A. 1.6 feet B. 1,035.84 feet C. 64.37 feet D. 32.18 feet

Mathematics