Find the vertex, focus, and directrix of the parabola with the given equation.(x - 1)2 = 20(y + 4)
A. vertex: (1, -4)
focus: (1, 1)
directrix: y = -9
B. vertex: (-4, 1)
focus: (-4, 6)
directrix: y = -4
C. vertex: (-1, 4)
focus: (-1, 9)
directrix: y = -1
D. vertex: (1, -4)
focus: (1, -9)
directrix: x = 1
Answer: A
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 5, u '(1) = -7, v(1) = 6, v '(1) = -3.
at x = 1
A.
B. -
C. -
D.
Write the equation of the circle with a radius of 8 and its center at the intersection of and
. Express the equation in standard form.
What will be an ideal response?
Divide f(x) by d(x), and write a summary statement in the form indicated.f(x) = x3 + 7x2 + 10x - 1; d(x) = x + 6 (Write answer in polynomial form)
A. f(x) = (x + 6)(x2 + x - 4) + 25 B. f(x) = (x + 6)(x2 + x + 4) - 25 C. f(x) = (x + 6)(x2 + x + 4) + 25 D. f(x) = (x + 6)(x2 - x + 4) - 25
Divide and check the answer.
A. x2 + 2 +
B. 3x2 + 3x + 2 +
C. 3x2 + 3x + 2
D. 3x2 + 3x + 2 +