Solve the problem.The perimeter of a triangle is 60 cm. The triangle is isosceles now, but if its base were lengthened by 3 cm and each leg were shortened by 6 cm, it would be equilateral. Find the base of the original triangle.
A. 17 cm
B. 13 cm
C. 23 cm
D. 14 cm
Answer: D
Mathematics
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Evaluate the factorial expression.
A. 720 B. 3 C. 84 D. 168
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Rationalize the denominator. Assume that all variables represent non-negative real numbers. Make sure you simplify the final answer.
A.
B. -
C.
D.
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Find the linear factorization of the polynomial and find all roots of the polynomial. f(x) = 2x3 + 2x
A. f(x) = 2x(x + i)2, roots: 0, -i B. f(x) = x(x + 2i)(x - i), roots: 0, i, -2i C. f(x) = 2x(x + 1)2, roots: 0, -i D. f(x) = 2x(x + i)(x - i), roots: 0, ± i
Mathematics
Solve the system of equations by the substitution method.9x + 8y = 627x - 5y = 37
A. {(6, 2)} B. {(5, 2)} C. {(6, 1)} D. ?
Mathematics