Beginning Algebra, 11th Edition

Solve each equation by completing the square. See Examples 2 and 3.

Solve each equation by completing the square. See Examples 4–7.

Solve each equation by completing the square. Give (a)exact solutions and (b)solutions

rounded to the nearest thousandth.

Solve each problem. See Example 8.

37.If an object is projected upward on the surface of

Mars from ground level with an initial velocity of

104 ft per sec, its altitude (height) sin feet in tsec-

onds is given by the formula.

At what times will the object be 195 ft above the

ground?

38.After how many seconds will the object in

Exercise 37return to the surface? (Hint:When it

returns to the surface, .)

39.If an object is projected upward from ground level on Earth with an initial velocity of 96 ft

per sec, its altitude (height) sin feet in tseconds is given by the formula

At what times will the object be at a height of 80 ft? (Hint:Let .)

40.At what times will the object described in Exercise 39be at a height of 100 ft? Round

your answers to the nearest tenth.

s= 80

s=- 16 t^2 + 96 t.

s= 0

s=- 13 t^2 + 104 t

1 x+ 121 x+ 32 = 2 1 x- 321 x+ 12 = 1

3 r^2 - 2 = 6 r+ 3 4 p+ 3 = 2 p^2 + 2 p

• x^2 + 2 x=- 5 - x^2 + 4 x= 1

1 x- 821 x+ 22 = 24 1 r- 321 r- 52 = 2 1 x- 121 x- 72 = 1

3 x^2 + 7 x= 4 2 x^2 + 5 x= 1 1 x+ 321 x- 12 = 5

3 q^2 - 3 q+ 4 = 0 3 x^2 - 9 x+ 5 = 0 6 x^2 - 8 x- 3 = 0

4 x^2 + 4 x= 3 9 x^2 + 3 x= 2 2 p^2 - 2 p+ 3 = 0

x^2 + 6 x+ 9 = 0 x^2 - 8 x+ 16 = 0

r^2 + 4 r+ 1 = 0 x^2 - 8 x=- 4 m^2 - 4 m= 14

x^2 - 4 x=- 3 p^2 - 2 p= 8 x^2 + 2 x- 5 = 0

566 CHAPTER 9 Quadratic Equations

x

175 – x

41.A farmer has a rectangular cattle pen with

perimeter 350 ft and area 7500. What

are the dimensions of the pen? (Hint:Use

the figure to set up the equation.)

42.The base of a triangle measures 1 m more

than three times the height of the triangle.

The area of the triangle is 15. Find the

lengths of the base and the height.

m^2

ft^2

3 h + 1

h

43.Two cars travel at right angles to each other from an intersec-

tion until they are 17 mi apart. At that point, one car has gone

7 mi farther than the other. How far did the slower car travel?

(Hint:Use the Pythagorean theorem.)

44.Two painters are painting a house in a development of new homes. One of the painters

takes 2 hr longer to paint the house working alone than the other painter takes. When they

do the job together, they can complete it in 4.8 hr. How long would it take the faster

painter alone to paint the house? (Give your answer to the nearest tenth.)

x

x + 7

17 mi

http://www.ebook777.com

http://www.ebook777.com