x=8+sqrt-8/12, x=8-sqrt-8/12
I think...
Answer:
:) 17
Step-by-step explanation:
68 = 4 x L
68 div by 4 = 17
the length is 17
Answer:
Your solution is (9, 27) or x = 9, y = 27
Step-by-step explanation:
y = 2x + 9
y = 4x - 9
We can see that both of these equations equal y, so we can set them equal to each other.
2x + 9 = 4x - 9
Add 9 to both sides.
2x + 18 = 4x
Subtract 2x from both sides.
18 = 2x
Divide both sides by 2.
9 = x
Now we want to find y. To do this, plug x = 9 back into one of the original equations.
y = 2(9) + 9
Multiply.
y = 18 + 9
Add.
y = 27
Your solution is (9, 27)
Check your answer by plugging x = 9 and y = 27 back into the original equations.
y = 2x + 9
27 = 2(9) + 9
27 = 18 + 9
27 = 27
y = 4x - 9
27 = 4(9) - 9
27 = 36 - 9
27 = 27
Your answer is correct.
Hope this helps!
Answer:
Step-by-step explanation:
Given
Required
The vertex
We have:
First, we express the equation as:
Where
So, we have:
--------------------------------------------
Take the coefficient of x: -1
Divide by 2: (-1/2)
Square: (-1/2)^2
Add and subtract this to the equation
--------------------------------------------
Expand
Factorize
Factor out x - 1/2
Compare to:
Hence:
