Answer:
x =12
Step-by-step explanation:
The two angles add to 90 degrees
4x+4 + 5x-22 = 90
Combine like terms
9x - 18 = 90
Add 18 to each side
9x -18+18 = 90+18
9x = 108
Divide each side by 9
9x/9 = 108/9
x =12
Y=mx+b
M is the slope
B is the y intercept
In this case 4 is the slope and -9 is the y intercept
Answer:
Step-by-step explanation:
The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
hope this helps
For this case we have the following functions:
We must find 
By definition of composition of functions we have to:
So:
We have different signs subtracted and the sign of the major is placed.
Finally we have to:
ANswer:
