Provide an appropriate response.What value of x will make the following equation true? Explain your answer. 

What will be an ideal response?


x = . Since neither square root can have a value less than 0, both must equal 0 for their sum to be 0. For a square root to equal 0, its radicand must also equal 0. Thus, 4x - 2 = -8x + 4 = 0, which yields the solution x = . (Explanations will vary.)

Mathematics

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Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth.A 37-inch-square TV is on sale at the local electronics store. If 37 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.

A. 684.5 in. B. 6.1 in. C. 26.2 in. D. 3 in.

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Change the Cartesian integral to an equivalent polar integral, and then evaluate.

A.
B.
C.
D.

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Find the center of the ellipse. +  = 1

A. (-3, -4) B. (3, 4) C. (4, 3) D. (-4, -3)

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Solve the equation. = 

A.
B.
C.
D.

Mathematics