Solve the equation.m2 + 10m + 15 = 0

A. {-10 + , -10 - }
B. {5 + , 5 - }
C. {-5 + , -5 - }
D. {5 + , 5 - }


Answer: C

Mathematics

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Solve the problem.A projectile is fired from a cliff 400 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 350 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 1914.06 ft B. 957.03 ft C. 3271.09 ft D. 1357.03 ft

Mathematics

Provide the proper response.It can be shown that a hyperbola with center at the origin, foci at  and  and equation  has equation  Use this result to find an equation of a hyperbola with center at the origin, foci at 

/> and  and absolute value of the distances from any point of the hyperbola to the two foci equal to 6.

A.  -  = 1
B.  -  = 1
C. x2 - y2 = 6
D.  -  = 1

Mathematics

The graph of a quadratic function is given. Choose the function's equation.

A. f(x) = (x - 2)2 + 2 B. f(x) = (x - 2)2 - 2 C. f(x) = (x + 2)2 - 2 D. f(x) = (x + 2)2 + 2

Mathematics

Find the inverse of the given function and express it in the form . Verify the result by showing that . 

A.
B.
C.
D.
E.

Mathematics