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:
A. 4x² - 2x + 11
Step-by-step explanation:
(4x² + 6) - (2x - 5) =
Drop the first set of parentheses since it is unnecessary.
= 4x² + 6 - (2x - 5)
To drop the second set of parentheses, you must change every sign inside the parentheses.
= 4x² + 6 - 2x + 5
Now combine like terms.
= 4x² - 2x + 11
The base angles are both equal to (180-70) / 2 = 55 degrees
and 1/2 base = 123
so we have tan 55 = a / 123 where a = altitude
a = 123 * tan55 = 175.66
Answer:
A
Step-by-step explanation:
Half of 44 is 22
