Find the center and radius of the circle.

x² + y² – 10x – 6y = 21

Center (5, 3), radius ?55

Mathematics

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Solve the initial value problem.Differential Equation:  = (12t2 - 5)i - j + kInitial Condition: r(0) = -5i + 3j + 11k

A. r(t) = (4t3 + 5t + 5)i + (3 + t)j + ( + 9)k
B. r(t) = (4t3 - 5t - 5)i + (3 - t)j + ( - 9)k
C. r(t) = (12t3 - 5t - 5)i + (3 - t)j + ( + 9)k
D. r(t) = (4t3 - 5t - 5)i + (3 - t)j + (2 + 9)k

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Mathematics

Write as a decimal.84.72%

A. 0.8472 B. 8.472 C. 0.08472 D. 0.8372

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Mathematics

Factor completely.3x2(p + q2) - (p + q2)

A. (3x2 - 1) (p + q)2 B. (3 - x2) (p + q2) C. 3x2 (p + q2 - 1) D. (p + q2) (3x2 - 1)

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Mathematics

Simplify.-|-24|

A. - 
B. 48
C. -24
D. 24

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Mathematics