Complete the square x 2 + 8 x + 6
2 answers:
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Answer:
y-4=7(x-1)
Step-by-step explanation:
Hi there!
We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.
Point-slope form is given as y-=m(x-
) where m is the slope and (
,
) is a point
We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion
m=7
=1
=4
now substitute into the formula:
<u>y-4=7(x-1)</u>
Hope this helps! :)
Step-by-step explanation:
hope this will help you.
The two containers hold 328 ounces at the they hold same amount of water.
<u>Step-by-step explanation:</u>
The equations below model the ounces of water, y, in each container after x minutes.
At the time after the start when the containers hold the same amount of water, the two equations must be equal.
⇒
The first step is to divide everything by 2 to make it simplified.
⇒
Now put everything on the left .
Add the like terms together to further reduce the equation
Factorizing the equation to find the roots of the equation.
Here, b = -12 and c = -28
where,
- b is the sum of the roots ⇒ -14 + 2 = -12
- c is the product of the roots ⇒ -14 × 2 = -28
- Therefore, (x-14) (x+2) = 0
- The solution is x = -2 or x = 14
Take x = 14 and substitute in any of the given two equations,
⇒
⇒
⇒ 328 ounces
∴ The two containers hold 328 ounces at the they hold same amount of water.