Solve the problem.A one-story building is 410 ft by 170 ft. If a square patio with sides 21 ft occupies the center of the building, how much area remains for offices?

A. 1139 ft2
B. 1160 ft2
C. 1076 ft2
D. 69,259 ft2


Answer: D

Mathematics

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Simplify by dividing.

A. -1 B. 0 C. -17 D. 1

Mathematics

Find the factored form of a polynomial function f whose roots are given. Then find values of the leading coefficient for which the coefficients of f in standard form are integers.Roots: , -3

A. f(x) = 75a(5x + 1)(15x + 1)(x - 3)
a = k, for any integer k
B. f(x) = (5x - 1)(15x - 1)(x + 3)
a = 75k, for any integer k
C. f(x) = 75a(5x - 1)(15x - 1)(x + 3)
a = 75k, for any integer k
D. f(x) = (5x + 1)(15x + 1)(x - 3)
a = 75k, for any integer k

Mathematics

Find the center, foci, and vertices of the ellipse.49x2 + 25y2 = 1225

A. center at (0, 0)
foci at (- 2, 0) and (2, 0)
vertices at (-7, 0), (7, 0)
B. center at (0, 0)
foci at (0, -7) and (0, 7)
vertices at (0, -49), (0, 49)
C. center at (0, 0)
foci at (0, 7) and (5, 0)
vertices at (0, 49) and (25, 0)
D. center at (0, 0)
foci at (0, - 2) and (0, 2)
vertices at (0, -7), (0, 7)

Mathematics

Tell the place value of the digit in the given number.516,712; the 5

A. thousandths B. ten thousandths C. hundred thousands D. ten thousands

Mathematics