Step-by-step explanation:
As the triangles are similar so,
3/9 = 4/12 = 4.5/k
Taking 3/9 and 4.5/k Then

The diver will hit the water when the height is zero, so we will want to set our height function equal to zero
0 = -4t^2 + 11t + 3
we will then factor to find out value of t that make the function equal to zero
0 = (-4t - 1 ) ( t - 3 )
This means our function equals zero when t = -1/4 s and t = 3 seconds
Since time cannot be negative, our final solution is t = 3 seconds
<u>Given</u>:
Given that the graph of a line with coordinates (-3,2) and (0,-2)
We need to determine the slope of the line parallel to the given line.
<u>Slope</u>:
The slope of the line can be determined using the formula,

Substituting the coordinates (-3,2) and (0,-2), we have;

Simplifying, we get;

Thus, the slope of the given line is 
<u>Slope of the parallel line:</u>
The parallel lines always have the same slope.
Thus, the slope of the parallel line is 
Hence, the slope of the parallel line is 
Therefore, Option c is the correct answer.
The rational roots of the polynomial given in the question are -4/5 and 3/4.
Given-
Given polynomial function is,

The given polynomial function has the four-degree equation in which the greatest power of the variable is four. Suppose one root of <em>x </em>is 1 to solve it further. So one factor is,

Rewrite the given equation,





On the factor above equation, we get.
](https://tex.z-dn.net/?f=%5B4%285x%5E2-3%29%2Bx%5D%28x%5E2%2B1%29)
](https://tex.z-dn.net/?f=%5B20x%5E2-12%2Bx%5D%28x%5E2%2B1%29)
On the factor, we get,


Hence, the rational roots of the polynomial given in the question are -4/5 and 3/4.
For more about the polynomial, follow the link below-
brainly.com/question/17822016