Answer and Step-by-step explanation:
Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.
So, We would divide 45 by 9 to find the scale factor.
45 divided by 9 is 5.
Now, we divide 25 by this to find x.
25 divided by 5 is 5.
<u>x is equal to 5.</u>
<u></u>
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Answer:
y=-x+10
Step-by-step explanation:
The formula is y=mx+b, where m is the slope and b is the y-intercept. To solve plugin the values for the corresponding variables. It has a slope of -1 and a y-intercept of 10.
This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:
h(t)=16t^2-64t
the maximum height will be calculated as follows;
h(t)=16t(t-4)
therefore:
t=0 or t=4
h(4)=-64(4)+16(4^2)
=0
Set the function to equal zero:

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

Plug the values into the equation:




Solve for both plus and minus:



The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is
'<span>
x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>