Determine whether the line through the given points and the line through R (8,7) and S(5,14) are parallel, perpendicular, or neither.
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Choose the correct letter for each question.
A. parallel
B. perpendicular
C. neither
A. _P_(16, 14); _Q_(10, 28)
B. _P_(21, -24); _Q_(42, -15)
C. _P_(14, 14); _Q_(0, -10)
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Solve by graphing.
A. (8, 4) B. No solution C. (4, 8) D. (-4, 0)
Use the quotient rule and other properties of exponents to simplify the expression. Use positive exponents to write your answer.
A. 24
B.
C.
D. 212
Write the answer to the problem as an algebraic expression.Two numbers have a sum of 38. One of the numbers is t. Find the other number.
A. 38 - t B. t - 38 C. 38 + t D. t + 38
Solve the problem.A building contractor's profit (in thousands of dollars) on each unit in a subdivision is a continuous random variable with probability density function f(x) as shown below. f(x) = (A) Find the contractor's expected profit. Round to the nearest dollar.(B) Find the median profit. Round to the nearest dollar.
A. (A) $21,667; (B) $21,340 B. (A) $26,667; (B) $25,000 C. (A) $23,333; (B) $22,929 D. (A) $28,333; (B) $26,465