Suppose that a triangle has legs a and b and hypotenuse c, as illustrated in the figure. Then these values satisfy  Use the Pythagorean Theorem as described above to find the value of x in the figure.

A. -3
B. -5
C. 3
D. 5


Answer: D

Mathematics

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Solve the problem.Given that  = -46, use the properties of determinants to evaluate .

A. 0 B. -46 C. 1 D. 46

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Determine whether the given value is a solution of the inequality.-4x ? 10, x = 

A. No B. Yes

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Find the unit vector in the direction of the given vector. Write your answer in the indicated form.Let u = . Find the unit vector in the direction of u, and write your answer as a linear combination of the standard unit vectors i and j.

A. i + j 
B. i + j 
C. i + j
D. i + j

Mathematics

Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.1 +  +  + ...

A. Converges; 
B. Converges; 1
C. Converges; 
D. Diverges

Mathematics