Solve the problem.The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is
,where the symbol ± indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (6, 5), (8, -6), and (-7, -8).
A.
B.
C. 169
D. 5
Answer: B
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Solve. Graph the solution on a number line, and express it in interval notation.1 ? 2x - 3 ? 9
A. -6 < x < -2, (-6, -2)
B. 2 < x < 6, (2, 6)
C. -6 ? x ? -2, [-6, -2]
D. 2 ? x ? 6, [2, 6]
Find the tax. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people filing jointly, $5800 for married people filing separately, and $8500 for head of a household; and the tax rate schedule. Glenn and Natalie Dowling had combined wages and salaries of $69,992, other income of $5234, dividend income of $322, and interest income of $667. They have adjustments to income of $2411. Their itemized deductions are $8441 in mortgage interest, $1617 in state income tax, $852 in real estate taxes, and $1181 in charitable contributions. The Dowlings filed a joint return and claimed six exemptions.
A. $5076.95 B. $5150.60 C. $7328.25 D. $6890.60
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-3, -1); Decreasing on (-5, -2) and (2, 4); Constant on (-1, 2) B. Increasing on (-3, 1); Decreasing on (-5, -3) and (0, 5); Constant on (1, 2) C. Increasing on (-5, -3) and (2, 5); Decreasing on (-3, 0); Constant on (0, 2) D. Increasing on (-3, 0); Decreasing on (-5, -3) and (2, 5); Constant on (0, 2)
Solve.The area of a circle varies directly as the square of the radius of the circle. If a circle with a radius of 5 inches has an area of 78.5 square inches, what is the area of a circle with a radius of 15 inches?
A. 706.5 in.2 B. 94.2 in.2 C. 47.1 in.2 D. 708.9 in.2