First, let

be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,

, is:

. Since our directrix is y=-8, the distance to our point will be:


Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:



Finally, we can expand and solve for

:




We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Answer:
9 gallons of water per minute
Step-by-step explanation:
First identify what you know:
1) The pipe was flowing water for eight minutes.
2) In that eight minutes, 72 gallons of water came out.
So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!
72/8 = 9
The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!
Hope this helps! :)
Yes 5/6 is smaller than 3/5
Answer:
p ≥ -10
Step-by-step explanation:
Divide both sides by-9:
When dividing or multiplying by a negative number, always flip the inequality sign:
-9p/-9 > = 90/-9
Cancel out the negatives:
9p/9 > = 90/-9
Simplify the fraction:
p > = 90/-9
Simplify the signs:
p > = -90/9
Find the greatest common factor of the numerator and denominator:
p >= -10 · 9/ 1 · 9
Factor out and cancel the greatest common factor:
p > = -10
Answer:
0.004
Step-by-step explanation:
6.204 = 6 + 0.2 + 0.044.
The answer is 0.004.