right triangle. Since the two legs are 6 and 8, this is 6-8-10 right triangle, so the hypotenuseis 10. The answer is (B).- D Whenever there are variables in the question and answers, think Plugging In. If m = 2, the
expression becomes =−4. Plug 2 in for m in the answer choices to see which one equals the target number of –4.Choice (A) becomes = −2.8. Thisdoes not match the target number, so eliminate (A). Choice (B) becomes . Eliminate (B). Choice (C) becomes = −1.
Eliminate (C). Choice (D) becomes m – 6 = 2 – 6 = –4. The correct answer is (D).- 1.5 or
Plug the given values into the equation: 18 = (3)(4)(x). Multiply the right side of theequation to find that 18 = 12x. Divide both sides by 12 to find that x = . Both 18 and 12are divisible by 6, so this fraction reduces to .
53 Jean charges 5.50 × 2 = $11 per hour for babysitting. Therefore, her entire earnings for
three hours can be calculated as (3 × 11) + 20 = 53. The correct answer is 53.
10 To solve the problem without a graphing calculator, set the two equations equal to each
other: −x^2 + 5x + 6 = −– x^2 + 12. Multiply the entire equation by 2 to get –2x^2 + 10x + 12= –x + 24. Rewrite the equation to equal 0, so it becomes –2x^2 + 11x − 12 = 0. Multiply theentire equation by –1 to get 2x^2 – 11x + 12 = 0. Then factor the quadratic to get (2x − 3)(x −4) = 0. Solve for the two possible values of x: If 2x − 3 = 0, then x = , and if x − 4 = 0,then x = 4. Because the slope of the line is negative, the x-value of the point that is farthestto the right along the x-axis must also be closer to the x-axis. Plug 4 in for x in the secondequation to get y = − (4) + 12 = – 2 + 12 = 10. The correct answer is 10.