Put it in the form
ax^2 + bx + c = 0
use the quadratic formula
x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a
x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a
7v^2 - 7v - 22 = 0
a = 7
b = -7
c = -22
v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34
v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34
Answer: B' (5,8), C' (3,1)
Step-by-step explanation:
You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.
-2 + 1 = -1
-3 + 11 = 8
Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).
I hope this helps!
Step-by-step explanation:
42.5 – 7.32 = __35.18___
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
