Simplify. 102 + 102 ÷ 22
A. 100
B. 50
C. 204
D. 125
Answer: D
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Find the maximum and minimum values of the function and the values of x and y for which they occur.P = 6x + 7y, subject to2x + 3y ? 12,2x + y ? 8,x ? 0,y ? 0.
A. Maximum: 24 when x = 4 and y = 0; minimum: 0 when x = 0 and y = 0 B. Maximum: 32 when x = 3 and y = 2; minimum: 0 when x = 0 and y = 0 C. Maximum: 28 when x = 0 and y = 4; minimum: 0 when x = 0 and y = 0 D. Maximum: 28 when x = 0 and y = 4; minimum: 24 when x = 4 and y = 0
Find the exact value of the trigonometric expression without the use of a calculator.If sin ? = 
, 0 < ? < 
and cos ? = 
, 0 < ? < 
, find the exact value of tan (? + ?).
A. - 
B. 
C. 
D. - 
Find u ? v, where ? is the angle between the vectors u and v. Round the answer to the nearest tenth.
= 3, 
= 7, ? = 
A. 26.7 B. 29.7 C. 14.8 D. 16.5
Multiply and simplify.
? 3b
A. 
b
B. 
C. 
D. 11b