Let the width be x.
Length = 2x -1
The area of rectangle = 45 cm²
x*(2x -1) = 45
2x² -x = 45
2x² -x - 45 = 0 This is a quadratic equation
comparing to ax² + bx + c = 0, a = 2, b = -1, c = -45
x = (-b + √(b² -4ac)) / 2a or (-b - √(b² -4ac)) / 2a
x = (- -1 + √((-1)² -4*2*-45)) / 2*2 or (- -1 - √((-1)² -4*2*-45)) / 2*2
x = (1 + √(1 +360)) / 2*2 or (1 - √(1 + 360) / 2*2
x = (1 + √361) / 4 or (1 - √361) / 4
x = (1 + 19) / 4 or (1 - 19) / 4
x = 20/4 or -18/4
x = 5 or -4.5
x can't be negative since we are solving for side.
x = 5 as the only valid solution.
Recall, the width = x = 5.
Length = 2x - 1 = 2*5 - 1 = 10 - 1 = 9
Hence the length = 9cm , and width = 5cm
OBAN
92
|
| STANRAER
172-------------------------------------112
To read this table you have to draw a vertical from OBAN downward aa horizontal line from the 1st value of STANRAER. The intersection point show the number of miles.
So there are 172 miles & the consumption is 8 mi/gal,. He needs 172/8 gal.
Cost number of gallons needed x price/ gallon
COST = (172/8) x 0.83
COST = (21.5) x 0.83 = 17.845 ≈ $17.85 (1st answer)
Answer: -12
use the () to sole the problem at one step at a time.
Answer:
hablan español es que yo les pudiera ayudar pero no se tanto ingles como ustedes