Find the identical expression for the following.
?
?
A. ?
B. ?
C. ?
D. ?
E. 2
Answer: D
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Identify the quadric surface by name. Find and describe the xy-, xz-, and yz-traces, when they exist.-9x2 - 9y2 + z2 = 9
A. Hyperboloid of two sheets; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) B. Ellipsoid; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (ellipse); yz-trace: z2 - 9y2 = 9 (ellipse) C. Hyperboloid of two sheets; xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola) D. Hyperboloid of one sheet; xy-trace: -9x2 - 9y2 = 9 (circle); xz-trace: z2 - 9x2 = 9 (hyperbola); yz-trace: z2 - 9y2 = 9 (hyperbola)
Use the discriminant to determine the number and type of the solutions to the quadratic equation. Do not solve the equation.x2 + 4x + 4 = 0
A. two nonreal solutions B. exactly one real solution C. two real solutions
Determine all possible digits to place in the square that make the statement true. If none exist, state this.4,3?6 is divisible by 4.
Fill in the blank(s) with the appropriate word(s).
Find the vertex of the parabola, and determine whether the parabola opens upward, downward, to the left, or to the right.x = (y + 6)2 + 4
A. (6, -4), right B. (-36, 4), left C. (-6, 4), left D. (4, -6), right