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Question : Use the square root property to solve the quadratic equation. 21) (m - (1/7))^2 = (1/49) : 2163412

Use the square root property to solve the quadratic equation.

21) (m - (1/7))^{2} = (1/49)

A) 0, - (2/7)

B) ±(2/7)

C) (8/49)

D) 0, (2/7)

22) (p - 1)^{2} = - 81

A) -80, 82

B) -10, 8

C) -8, 10

D) no real solution

23) (2m - 1)^{2} = 25

A) 3, -2

B) 6, -4

C) 2, -3

D) 4, -6

24) (2x + 5)^{2} = 49

A) 1, -6

B) 1, 6

C) 0, 1

D) 27, -27

25) (5x - 1)^{2} = (16/25)

A) - (4/25), (4/25)

B) - (4/5), (4/5)

C) (9/25), (1/25)

D) 5, -3

26) (1/5)x^{2} = 3

A) ± (√(15)/5)

B) √(15)

C) ±225

D) ±√(15)

27) 3x^{2} = 54

A) ± 3√(2)

B) ± 9√(2)

C) ± 2√(3)

D) 3√(2)

28) (5x + 4)^{2} = 6

A) (√(6) ± 4/5)

B) (4 ± √(6)/5)

C) (-4 ± √(6)/5)

D) - 2 and (2/5)

29) (5x - 2)^{2} = 6

A) - (8/5) and (4/5)

B) (-2 ± √(6)/5)

C) (2 ± √(6)/5)

D) (√(6) ± 2/5)

30) (4x - 7)^{2} = 50

A) (7 + 5√(2)/4)

B) (5√(2) ± 7/4)

C) (7 ± 5√(2)/4)

D) (7 ± 2√(5)/4)

31) (19 - 5x)^{2} - 12 = 0

A) (19 ± 3√(2)/5)

B) (19 ± 2√(3)/5)

C) (- 19 ± 2√(3)/5)

D) (2√(3) ± 19/5)

Solve.

32) Neglecting air resistance, the distance d in feet that an object falls in t seconds is given by the equation d = 16t^{2}. Use this formula to find the time it would take for an object to fall to the ground from a cliff that is 784 feet high.

A) 8 seconds

B) 49 seconds

C) 7 seconds

D) 6 seconds

33) The area of a square is found by the equation A = s^{2} where s is the length of a side. If the area of a square porch is 81 square feet, find the dimensions of the porch.

A) 10 feet by 10 feet

B) 8 feet by 8 feet

C) 11 feet by 11 feet

D) 9 feet by 9 feet

34) A 35-inch-square TV is on sale at the local electronics store. If 35 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen to the nearest tenth of an inch.

A) 612.5 in.

B) 3 in.

C) 5.9 in.

D) 24.7 in.

35) The area of a circle is found by the equation A = πr^{2}. If the area a of a certain circle is 64π square inches, find its radius r.

A) 16 inches

B) 32π inches

C) 128 inches

D) 8 inches

36) The strawberry yield (in bushels per acre) for a farm in Springfield from 1996 through 1998 is given by the equation y = 9x^{2} + 35. In this equation, x = 0 represents the year 1997. Assume this trend continues and predict the year in which the Springfield farm's strawberry yield will be 611 bushels per acre.

A) 2004

B) 2005

C) 2007

D) 2006

37) A common equation used in business is a demand equation. It expresses the relationship between the unit price of some commodity and the quantity demanded. In the demand equation p = -x^{2} + 88, for a certain style of calculator, p is the price per calculator in dollars and x is the quantity demanded in thousands. Find the demand for the calculator if the price is $7 per calculator.

A) 10 thousand units

B) 40(1/2) thousand units

C) 9 thousand units

D) 39 thousand units

38) Neglecting air resistance, the distance h travelled by a free-falling object in time t is given by the formula h = 16t^{2}. Use this formula to find the time of free fall for a parachutist who falls 2605 feet before opening her parachute. Round your answer to the nearest tenth of a second.

A) 12.8 sec

B) 3.2 sec

C) 81.4 sec

D) 204.2 sec

39) The formula for the area of a square is A = s^{2} where s is the length of a side. Use this formula to find the length of a side of a building which has a square base with an area of 232 square meters. Give your answer in exact form and as a decimal rounded to the nearest hundredth of a meter.

A) 58√(2) ≈ 82.02 meters

B) 53,824 meters

C) 4√(58) ≈ 30.46 meters

D) 2√(58) ≈ 15.23 meters