SOLUTION: I need help with this please: The military is performing missile tests. A new missile is launched from the ground and it's path can be modelled by the quadratic equation y=-4(x-

Question 1195069: I need help with this please:
The military is performing missile tests. A new missile is launched from the ground and it's path can be modelled by the quadratic equation y=-4(x-10)^2+400, where y is the missile's height in meters and x is the time in seconds. 10 seconds later, a second heat-seeking missile is launched to intercept and explode the first missile before it reaches the ground. The second missile's path can be modelled by the quadratic equation y=2(x-20)^2+300, where y is its height in meters and x is its time in seconds. At what time and height should the second missile reach and explode the first missile.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
y=-4(x-10)^2+400
y=2(x-20)^2+300 -> should be
solve the system

The first and second missile will intersect at that makes

..........divide by

the point of intersection is (,)
so, after seconds the second missile will reach and explode the first missile at height of

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