Rationalize the numerator of the expression.
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What will be an ideal response?



Mathematics

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Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5t + 2, y = 15t + 2, -? ? t ? ?

A. y = 3x + 4; Entire line, from left to right

B. y = 3x - 4; Entire line, from right to left

C. y = 3x - 4; Entire line, from left to right

D. y = 3x + 4; Entire line, from right to left

Mathematics

Find the total surface area and volume of the solid object. (Round as indicated in parentheses and use the ? key for ?.

A. T = 78.54 ft2, V = 8.18 ft3 B. T = 19.63 ft2, V = 8.18 ft3 C. T = 78.54 ft2, V = 65.45 ft3 D. T = 19.63 ft2, V = 65.45 ft3

Mathematics

Find the specified minor and cofactor for the matrix A.M22 and A22 if A = 

A. M22  = -82 and A22  = -82 B. M22  = 82 and A22  = -82 C. M22  = -77 and A22  = 77 D. M22  = -77 and A22  = -77

Mathematics

Translate the sentence to an equation and then solve.If 4 times a number is added to -9, the result is equal to 13 times the number.

A. 4x + (-9) = 13x; -1 B. 13(4x - 9) = -9; -1 C. 4x + 9x = 13; 1 D. 4x - (-9) = 13x; 1

Mathematics