The path of a rocket isrepresented by the equation y= 25- x ². The pathof a miss

Question

The path of a rocket isrepresented by the equation y= 25-x². The pathof a missile designed to intersect the path of the rocket isrepresented by the equation x=3 y.The value of x at the point of
                                                                                                2
intersection is 3. What is the corresponding value ofy?                                                                                                   The path of a rocket isrepresented by the equation y= 25-x². The pathof a missile designed to intersect the path of the rocket isrepresented by the equation x=3 y.The value of x at the point of
                                                                                                2
intersection is 3. What is the corresponding value ofy?                                                                                                  

Explanation / Answer

At the point of interesection x =3, so substitute this intothe equation for y. Therefore y = sqrt(25 - 9) = sqrt(16) = 4 So the answer is y = 4. Note: you can check that this value of y works by subbing intothe eqn for x. x = 3/2 sqrt(4) = 3/2*2 = 3. So our value for y works! Hope this was helpfully.

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