Hi, could someone help me with these and PLEASE guide me through the steps as to how you got the answer. Thank you!
1) Factor: 18x^2+67x-63
2) The length of a rectangular pool is 6 feet less than twice the width. If the perimeter of the pool is 126 feet, what are its dimensions?
Thanks again!
1) Factor: 18x^2+67x-63
2) The length of a rectangular pool is 6 feet less than twice the width. If the perimeter of the pool is 126 feet, what are its dimensions?
Thanks again!
-
18x^2 +67x -63
COEFFICIENT OF x^2 = +18
( +18) ( -63) = -1134
FIND FACTORS OF -1134 WHICH ADD UP TO +67 ( COEFFICIENT OF x )
( +81) ( -14) = - 1134
18x^2 +81x -14x -63
9x ( 2x +9) -7( 2x +9)
( 9x- 7) ( 2x +9) ANSWER
2) Perimeter = 2 ( length + width)
126 = 2( length + width )
63 = length + width
Let the width be x ft
Length = 2x -6
Length + width = 2x -6 + x = 63
3x -6= 63
3x = 69
x = 23
Width = 23' Length = 40ft ANSWER
COEFFICIENT OF x^2 = +18
( +18) ( -63) = -1134
FIND FACTORS OF -1134 WHICH ADD UP TO +67 ( COEFFICIENT OF x )
( +81) ( -14) = - 1134
18x^2 +81x -14x -63
9x ( 2x +9) -7( 2x +9)
( 9x- 7) ( 2x +9) ANSWER
2) Perimeter = 2 ( length + width)
126 = 2( length + width )
63 = length + width
Let the width be x ft
Length = 2x -6
Length + width = 2x -6 + x = 63
3x -6= 63
3x = 69
x = 23
Width = 23' Length = 40ft ANSWER