Cece hiking on a mountain and stops at 15 5/8 feet above sea level .the base of the mountain is 10.2 feet below sea level .what is the vertical distance between cece and the base of the mountain?

The vertical distance is 25.825 ft

Step-by-step explanation:

we know that

To find out the vertical distance between Cece and the base of the mountain, subtract the height of the base of the mountain from the height of Cece

Let

x -----> the height of Cece

y ----> the height of the base of the mountain

we have

----> is positive because is above sea level

convert to an improper fraction

-----> is negative because is below sea level

so

Remember that -1*(-1)=+1

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

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