Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.Tangent to the x axis, a radius of length 2, and abscissa of center is –1
A. x2 + y2 - 2x - 4y + 1 = 0 and x2 + y2 - 2x + 4y + 1 = 0
B. x2 + y2 + 2x - 4y + 1 = 0
C. x2 + y2 + 2x - 4y + 1 = 0 and x2 + y2 + 2x + 4y + 1 = 0
D. x2 + y2 + 2x + 4y + 1 = 0
E. x2 + y2 - 2x + 4y + 1 = 0
Answer: C
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Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x2 + 10x
A. 10; x2 + 10x + 10 = (x + 100)2 B. 25; x2 + 10x + 25 = (x + 5)2 C. 100; x2 + 10x + 100 = (x + 10)2 D. 5; x2 + 10x + 5 = (x + 25)2
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a11 when a1 = -3, r = -3.
A. -33 B. -177,143 C. 531,441 D. -177,147
Solve the problem.Find the table that matches the graph below.
A.
B.
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Solve the equation.4x = 256
A. 4 B. 5 C. 64 D. 3