Answer:
Step-by-step explanation:
The standard equation of a horizontal hyperbola with center (h,k) is
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is .
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is
We need to use the relation to find
.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
We substitute these values into the standard equation of the hyperbola to obtain:
Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:
<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>From the problem, we know the following data of the problem:
Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:
Step 1: Since we have a fixed price, this value will appear in our expression:
Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:
Finally, we can write total cost (C) as the sum of these two expressions:
Finally, our correct option is A:
5 hours
Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:
Finally, he spent 5 hours at the beach