Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
The area of this figure is 532m.
First you do the square which is 18 time 18 gets you 324m.
The for the first triangle you would do 18 times 16 then divide by 2 which is 144m.
For the last triangle you would do 16•8 div by 2 which will give you 64m.
Add them all up and you get 532m.
If the tax rate is 8%, we need to find 108% of the price, or 330 times 1.08, which is $356.4
A) 4(25-3y)+5y=9
100-7y=9
91=7y
y=13
(-14,13)
b) 14-x=x-10
2x=24
x=12
(12,14)
c) 4x=12
(3,7)
d) 18.5x+10.4y=200
x+y=130
Answer:
Step-by-step explanation:
y - 5 = 4(x - 7)
y - 5 = 4x - 28
y = 4x - 23
