Perform the indicated operation. Write the result in the form a + bi.(6 + 6i) - (-9 + i)
A. -3 + 7i
B. 15 - 5i
C. 15 + 5i
D. -15 - 5i
Answer: C
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Determine whether the argument is valid or invalid. You may compare the argument to a common form, if applicable, or use a truth table.r ? p
? p ? r
A. Invalid B. Valid
Simplify. (Assume all variables are nonzero.)
A. 2y2 B. 2y C. 6y2 D. 6
Provide an appropriate response.A set S in Rn is convex if, for each p and q in S, the line segment between p and q lies in S. [This line segment is the set of points of the form (1 - t)p + tq for 0 ? t ? 1. ]Let F be the feasible set of all solutions x of a linear programming problem Ax ? b with x ? 0. Assume that F is nonempty. Show that F is a convex set in Rn.[Hint: Consider points p and q in F and t such that 0 ? t ? 1. Show that (1 - t)p + tq is in F.]
What will be an ideal response?
Find the slope-intercept form of the equation of the line that passes through the point P and makes angle ? with the positive x-axis.P = (8, 5), ? = 30°
A. y = 
x + 
B. y = 
x - (8
+ 5)
C. y = 
x - 
D. y = 
x + 