Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Answer:
x = 11
Step-by-step explanation:
sides are proportional so you can set up a proportional and cross-multiply:
JL is to PQ as LK is to QR
x/22 = 8/16
x/22 = 1/2
2x = 22
x = 11
Divide 34.65 by 100 take your answer times that by 23 that should be your answer
Answer:
Step-by-step explanation:
Domain of the function will be,
{x ∈ R | x ≠ -2}
Range of the function is,
{y ∈ R | y ≠ -4}
Intercepts of the function,
Their are no intercepts of the given rational function.
Horizontal asymptotes:
Horizontal line parallel to x-axis representing discontinuity.
y = -4
Vertical asymptotes:
Vertical line parallel to y-axis representing discontinuity.
x = -2
No oblique asymptotes.
We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.
Option A: 
= 8.6
Option B: 
= 8.25
Option C: 
= 8.6667
Option D: 
= 7.33....
Hence, the longest fabric is the one given in option C, and its length is 8.6667
