Answer: 80
Step-by-step explanation:
We can use the formula
, where
are the lengths of the diagonals.
By the distance formula,

So, the area is 
Answer:
9000 - 500m
Step-by-step explanation:
Your original number is 9000. It starts to decrease at a rate of 500 feet per minute. So we know that you will subtract 500 from 9000 but we don't know how many times. Because of this, we will put a variable to represent the minutes that we are descending.
In conclusion: 9000 - 500m
We can start with subtracting 7040 from 20,000, getting us 12960 gallons remaining, If 720 gallons per hour are coming, we can make the equation 12960 = 720h, with h as hours. Next, we can divide both sides by 720, getting us 18. It will take 18 hours to fill the pool.
Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is: