Question

(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?

Answer 1

B

Explanation:

Edge 2021

Answer 2

• Both points are on the graph

Explanation:

Given function

• x^2/25 - y^2/9 = 1

To find

• Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)

Solution

Verifying the points are on the line by substituting values of x and y:

1.............................

• 6^2/25 - (3√11/5)²/9 = 1
• 36/25 - 11/25 = 1
• 25/25 = 1
• 1 = 1

• Correct

2.............................

• (-5)^2/25 - 0^2/9 = 1
• 25/25 - 0 = 1
• 1- 0 = 1
• 1 = 1

• Correct