PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

Equation for the height:

The height of the bird after x seconds is given by:

Which is a quadratic equation with .

When the bird is at its highest?

Quadratic equation with , and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

The bird will be at a ground distance of 10.04 units away.

step-by-step explanation:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24