Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).

On comparing both sides, we get

...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get



Putting
in (ii), we get



Putting
in (i), we get


Therefore, the equation of the parabola is
.
Find out how much you need for one person then multiply by 18 is one way you could do this..
4 divided by 24 = 0.166666666666667 x 18 = 3 litres of lemon-lime soda.
2 divided by 24 = 0.083333333333333 x 18 = 1.5 pints of servet
6 divided by 24 = 0.25 x 18 = 4.5 cups of ice.
Hope this helps!
Your teacher may have wanted you to (some how) use your 6x tables to work this out?!
Answer:
c
Step-by-step explanation:
Answer:
P=143
Step-by-step explanation:
So, we know that P and Q are supplementary angles. In other words:

We also know that P is 5 less than 4 times Q. Thus:

Substitute the second equation into the first:

Find Q. Combine like terms:

Add 5 to both sides:

Divide both sides by 5:

So, Q is 37 degrees.
Q and P are supplementary, which means that P is 180-37 or 143 degrees.
And we're done!
56/143
Using (6C3 x 9C4)/ 15C7 to find probability of 3 out of 6 youtube and 4 out of 6 online divided by 7 out of 15 total