Question

4 and 5 please? I need help!!!

Answer 1

Part 4) The number of meters by which each dimension must be increased is
`2\ m`

Part 5) The ball hit the ground at
`t=9\ sec`

Explanation:

Part 4) we know that

The area of the original Joe's garden is equal to

`A=6*4=24\ m^(2)`

Increasing the length and the width with the same amount to double the area

we have

Let

x------> the number of meters by which each dimension must be increased

`24*2=(x+6)(x+4)\\48=x^(2)+4x+6x+24\\x^(2)+10x-24=0`

Using a graphing tool solve the quadratic equation

see the attached figure

The solution is
`x=2\ m`

Part 5) we have

`h=-144t-16t^(2)`

we know that

To calculate after how many seconds will the ball hit the ground, find the t-intercept of the function

Remember that

The t-intercept of the function h(t) is the value of t when the value of h(t) is equal to zero

so

equate h(t) to zero

`-144t-16t^(2)=0`

Using a graphing tool

Find the t-intercept

see the attached figure

The solution is
`t=9\ sec`