Question

I am not sure what to put to answers these questions. Can someone please explained to me what am I suppose to answer for the following characteristics on the picture.The equation to answer these questions on the picture are right below this.h(x) = -x^2 + 10x - 9

Answer 1

Given:

The King Pig is located at the point (11,9).

The Moustache Pig is located at the point (10,4).

The path of the bird ends at 20 feet.

The equation of the flight path is

`f(x)=(1)/(5)x+2`

Required:

We need to draw the flight path of the yellow bird.

Step-by-step explanation:

1)

Substitute x =0 in the equation to find the bird's starting point.

`f(0)=(1)/(5)(0)+2`

`f(0)=2`

The point (0,2) is the starting point.

2)

The first point is (0,2).

Set x =5 and substitute in the given equation to find the second point to plot on the graph.

`f(5)=(1)/(5)(5)+2`

`f(5)=1+2`

`f(5)=3`

We get the point (5,3).

Set x =10 and substitute in the given equation to find the third point to plot on the graph.

`f(10)=(1)/(5)(10)+2=2+2=4`

We get the point (10,4)

Set x =15 and substitute in the given equation to find the fourth point to plot on the graph.

`f(15)=(1)/(5)(15)+2=5+2=5`

We get the point (15,5).

Set x =20 and substitute in the given equation to find the fifth point to plot on the graph.

`f(15)=(1)/(5)(20)+2=4+2=6`

We get the point (20,6).

3)

The rate of flight is the slope of the equation.

The given equation is of the form.

`f(x)=mx+b`

where slope, m=1/5 and b=2.

Hence the rate of flight is the slope of the equation is 1/5.

4)

The flight path is

6)

Mark the points (11,9) and (10,4) on the graph and name them as K and M.

The yellow bird hit the Moustache Pig.

7)

The line passes through the point (10,4) so it hit the Moustache Pig.

The line does not pass through the point (11,9) so it does not hit King PIg.