Solve the problem.An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 6.25 inches tall and stand 50 inches apart. At some point along the road from the lowest point of the cable, the cable is 0.56 inches above the roadway. Find the distance between that point and the base of the nearest tower.

A. 7.7 in.
B. 7.3 in.
C. 17.5 in.
D. 17.7 in.


Answer: C

Mathematics

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Find the indicated series by the given operation.Show that by differentiating term by term the expansion of   the result is the expansion for .

A.  = 2
B.  = 2x(1 - x2 + x4 - x6 + . . . )
C.  = 2
D.  = 2x(1 + x2 - x4 + x6 - . . .)

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Decide whether the pair of lines is parallel, perpendicular, or neither.3x - 8y = 2032x + 12y = -7

A. parallel B. perpendicular C. neither

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Let (m × n) denote a matrix of size m × n. Find the size of the following product, or state that the product is not defined.(1 × 1)(2 × 1)

A. not defined B. 2 × 1 C. 1 × 2 D. 2 × 2

Mathematics

Write the algebraic expression without parentheses.(5x) + [(4x) + (-4x)]

A. 9x B. 1 C. -7x D. x

Mathematics