A glider begins its flight 7/10 mile above the ground. After 45 minutes, it is 2/5 mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last? The change in height ___ is
mile(s).

The entire descent lasts ___ hour(s).

Answer One: 3 miles. Answer Two:  105.

Step-by-step explanation:

Answer One: Due to it being 7/10s we have to get 2/5 to a tenth. We multiply 2 and 5 by 2 to get 4/10s subtract 7/10s to 4/10s getting 3/10s which is equal to 45 minutes. So that means 4/10s is equal to an hour. The change in height is 3/10s. Answer Two: It begins it's flight at 7/10s above ground so after 45 minutes it's now at 4/10s due to 45 minutes equaling 3/10s, you need another hour to reach the ground so add 45 minutes to 60 minutes to get 105.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1