Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
The midpoint is (2, -2) :)
Step-by-step explanation:
Midpoint formula time!
(3 + 1) / 2 + (0 - 4) / 2
=
(2, -2) :)
Answer:
8 feet
Step-by-step explanation:
Given data
Area= 64 square feet
Base= x feet
Height= x+8 feet
The expression for the area
A= 1/2b*h
substitute
64= 1/2*x*(x+8)
64= 1/2*x^2+8x
64= (x^2+8x)/2
cross multiply
64*2= x^2+8x
128= x^2+8x
rearrange
x^2+8x-128= 0
using the quadratic formula
a=1
b=8
c=-128
x= -b±√b^2-4ac/2a
x= -1±√8^2-4*1*-128/2*1
simplifying
x= 8
x=-16
Hence the height of the base is
h= 8 feet
