Find the midpoint of (1,-4) and (7,1) to find the rest stop. To do this add the x values and divide by 2, then add the y values and divide by 2. (4,-1.5) is the midpoint.
To find the distance, use the distance formula then multiply the result by 5.38. The distance is 42 miles
Because the coefficient of x^2 is -1, we know that a will be -1. Knowing that the coefficient of x is -4, we can calculate that p=2. Thus, we have -1(x+2)^2+q is our equation. This is equal to -x^2-4x-4+q. As the constant term must be 2, we can then see that q is 6.
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:

which is equal to: (when the fraction is simplified)
In this problem it is asking how many gallons the pool holds. It gives you a method of exchange from cubic feet to this however, so in order to solve for this, we first have to solve for how many cubic feet is in the swimming pool, or how much volume the swimming pool has. The formula for the volume of a rectangle is Length*Width*Depth=Volume. Plugging in what we have we get 30*20*6=Volume, or Volume = 3600. As there are 7.5 gallons of water in each cubic foot, we simply multiply 7.5 times 3600 to get the answer. This is 27000.
Answer:
Step-by-step explanation:
I think the answer C x=42 y=30, correct me if i'm wrong