Find the midpoint of the segment joining the points (7, -6) and (15, -2).

(a) (-8, -4)
(b) (-4, -11)
(c) (-4, 22)
(d) (11, -4)
(e) (22, -8)


(d) (11, -4)

Mathematics

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Use reduction formulas to evaluate the integral.

A. -  sin 4x cos2 4x +  +  sin 8x + C
B. -  sin 4x cos3 4x +  +  sin 8x + C
C. -  sin 4x cos3 4x +  +  cos 8x + C
D. -  sin 4x cos3 4x +  +  sin 8x + C

Mathematics

Solve the problem. Round your answer, if appropriate.Electrical systems are governed by Ohm's law, which states that V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 4 A/s while the voltage remains constant at 18 V, at what rate is the resistance increasing (in ?/sec) when the current is 60 A? (Do not round your answer.)

A.  ?/sec
B.  ?/sec
C.  ?/sec
D.  ?/sec

Mathematics

The given figure shows two similar triangles. Find the length of the side labeled "x".

A.  16 B.  5 C. 15 D. 20

Mathematics

Evaluate -(-x) for the given value of x.x = 

A.
B. - 
C. 8
D. 0

Mathematics