Question

The path of the a rocket represented by the equation =√(25−^2 )
The path of the missile designed to intersect the path of the rocket is represented by the equation =3/2 √
The value of x at the point of intersection 3.
What is the corresponding value of y?

Answer 1

Answer:

Here, hope it helps :)

Step-by-step explanation:

To find the corresponding value of y at x = 3, we need to plug in x = 3 into the equations of the rocket's path and the missile's path.For the rocket's path:

y1 = √(25 - x^2)

y1 = √(25 - 3^2)

y1 = √(25 - 9)

y1 = √16

y1 = 4So, at x = 3, the rocket's path intersects the y-axis at y1 = 4.For the missile's path:

y2 = 3/2 √x

y2 = 3/2 √3

y2 = 3/2 * √3

y2 = 3/2 * √3

y2 = 3/2 * 1.732 (approximating √3 to 1.732)

y2 = 2.598So, at x = 3, the missile's path intersects the y-axis at y2 = 2.598.

Therefore, the corresponding value of y at x = 3 is y1 = 4 for the rocket's path and y2 = 2.598 for the missile's path.