Answer:
7. 36 8. 1 9. 21
Step-by-step explanation:
You plug in the variables in the equation.
7.
8. 
9. 
Since we will be completing the square we need to isolate the x
y-5 = 2x^2 -4x
now we the coefficient of the x^2 to equal 1 so we take 2 as common factor
y-5 = 2(x^2 -2x)
now we'll make it perfect square by adding 2 to both sides
y-5+2=2(x^2-2x+1)
now simplify and convert the right side to squared expression
y-3 = 2(x-1)^2
now isolate the y
y = 2(x-1)^2 +3 that's it
Answer:
-8.8c + 2.2 OR SOLVED c = 0.25
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
- 5.8c + 4.2 - 3.1 + 1.4c − 5.8c + 4.2 − 3.1 + 1.4c
<em>-8.8c + 2.2</em>
<em />
<u>Step 2: If needed solve for c</u>
-8.8c + 2.2 - 2.2 = 0 - 2.2
-8.8c / -8.8 = -2.2 / -8.8
<em>c = 0.25</em>
<em />
Answer: -8.8c + 2.2 OR SOLVED c = 0.25
Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:
