Write the expression in the standard form a + bi.(-9 + i)(-9 - i)
A. 81
B. -9
C. -80
D. 82
Answer: D
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If the lengths of three sides of a triangle are known, then the following formula, known as Hero's (or Heron's) formula is sometimes used:
?
??wherea,b, andcare the given lengths of the sides, and . Use this formula to find the area of a triangle with the lengths given below (correct to the nearest square foot).
? ,
, and
?
__________ ft2
Fill in the blank(s) with the appropriate word(s).
Find the domain of the function.f(x) =
A. , or
?
B. , or (-?, -4) ?
?
C. , or
?
? (4, ?)
D. {x| x ? 4}, or (-?, 4) ? (4, ?)
Solve the quadratic equation.x2 + 3x - 54 = 0
A. x = -9 or x =1 B. x = 9 or x = 6 C. x = 9 or x = -6 D. x = -9 or x = 6
Provide an appropriate response.One way to measure a person's cardiofitness is to calculate how many METs, or metabolic units, he or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To calculate ideal METs, we can use the expression: Researchers recommend that a person reach approximately 85% of his or her MET when exercising. Calculate 85% of the ideal MET for a 55-yr-old woman. Then refer to the following table. What activity can the woman do that is approximately this value?
A. 7.55; Cycling B. 6.418; Skiing C. 7.55; Mowing lawn D. 6.418; Ballroom or square dancing