Fill in the blank with one of the words or phrases listed below. Not all choices will be used.The Pythagorean theorem states that for a right triangle, (leg)2 + (leg)2 = ()2.

A. radical
B. leg
C. conjugate
D. hypotenuse


Answer: D

Mathematics

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Parametric equations 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 + 3, y = 15t + 12, -? ? t ? ?

A. y = 3x - 3

Entire line, from left to right
B. y = 3x + 3

Entire line, from left to right
C. y = 3x + 3

Entire line, from right to left
D. y = 3x - 3

Entire line, from right to left

Mathematics

Provide an appropriate response.Factor the special product:  x2 + 8x + 16

A. 2
B. 2
C. 2
D. (x + 4)(x - 4)

Mathematics

Establish the identity.(cos ? + sin ?)2 + (cos ? - sin ?)2  = 2(cos2? + sin2?)

What will be an ideal response?

Mathematics

Solve the problem.The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 30 seconds are required to make a 3-by-5 enlargement, find the time required for a 4-by-10 enlargement.

A. 40 sec B. 160 sec C. 80 sec D. 120 sec

Mathematics