Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.
A. half-open interval; {x|-9 < x ? -3}; (-9, -3]
B. closed interval; {x|-9 ? x ? -3}; [-9, -3]
C. half-open interval; {x|-9 ? x < -3}; [-9, -3)
D. open interval; {x|-9 < x < -3}; (-9, -3)
Answer: B
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Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 - 12x - 10y + 57 = 0
A. (h, k) = (6, 5); r = 2
B. (h, k) = (-6, -5); r = 2
C. (h, k) = (-6, 5); r = 2
D. (h, k) = (6, -5); r = 2
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round lengths to the nearest tenth and angle measures to the nearest degree.B = 13°, b = 7.1, a = 7.89
A. A = 166°, C = 1°, c = 0.6 B. A = 14°, C = 153°, c = 14.3 C. A1 = 14°, C1 = 153°, c1 = 14.3; A2 = 166°, C2 = 1°, c2 = 0.6 D. no triangle
Simplify the complex fraction.
A.
B.
C.
D.
Find values of x and y such that both fx(x,y) = 0 and fy(x,y) = 0.f(x,y) = 12xy - 4x - 4y + 9
A. x = 3, y = 3
B. x = , y =
C. x = -3, y = -3
D. x = - , y = -