Evaluate using Pascal's triangle. Show your work.

What will be an ideal response?
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
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Write one or more inequalities that describe the set of points.The exterior of the sphere of radius 4 centered at the point (-3, 3, 5)
A. (x + 3)2 + (x - 3)2 + (x - 5)2 > 16 B. (x - 3)2 + (x + 3)2 + (x + 5)2 < 16 C. (x - 3)2 + (x + 3)2 + (x + 5)2 ? 16 D. (x + 3)2 + (x - 3)2 + (x - 5)2 < 16
Perform the division. Write the answer with positive exponents.
A. 10x8 - 5x2 + 3 + +
B. 5x3 - 10x7 + 6x6 + 4x4 + 3x2
C. 5x2 - 5x + 3 + +
D. 5x3 - 5x2 + 3
Use the distributive property to write the expression without parentheses. Then simplify, if necessary.3(10x - 5)
A. 45x B. 13x - 8 C. 30x - 15 D. 30x - 5
Find the center and radius of the circle by completing the square.x2 + y2 - 18x - 8y + 72 = 0
A. (-4, -9); r = 25 B. (4, 9); r = 5 C. (-9, -4); r = 25 D. (9, 4); r = 5