First multiply all terms by z
8-z^2=4z
Then order into standard form
-z^2-4z+8=0
Multiply the equation by -1
z^2+4z-8=0
Plug into quadratic equation
-4±√16-4(-8)
-4±√48
(-4±4√3)/2
-2±2√3
Final answer: z=-2± 2√3
Answer:
B) 65 sq in
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
= 5² + 1/2(20)(4)
= 25 + 40
The length and width of the rectangle is 362 m and 272 m respectively.
Step-by-step explanation:
Let the length be "x m".
then the width = x - 90 m
Perimeter = 2 x (length + width) ------------------------------(1)
Substituting Length and width value in the above equation (1), we get,
2 x (x+x-90) = 1268
or, 2x - 90 = 1268/2
or, 2x - 90 = 634
or, 2x = 634 + 90
or, 2x = 724
or, x = 724/2
= 362
Thus the length = 362 m
width = 362 - 90 m = 272 m
