Answer:
2 seconds
Step-by-step explanation:
The formula h = -16t^2 +vt +s gives the vertical height (in feet) at time t (in seconds) for an object with an initial vertical velocity (in ft/s) of v and an initial height (in ft) of s. The problem statement tells us the ball's initial velocity is v=34 and the initial height is s=4.
Then the equation is ...
h = -16t^2 +34t +4
We want to find the value of t when h=8. There will be two solutions, one when the ball is going up, and the other when the ball is coming down. We are interested in the second solution.
8 = -16t^2 +34t +4
16t^2 -34t +4 = 0 . . . . . subtract the right side of the equation to put it into standard form
(16t -2)(t -2) = 0 . . . . . . factor the equation
Solutions are values of t that make the factors zero:
t = 2/16 or t = 2
It takes 2 seconds for the ball to come down to meet Mike's head.
3)AD = CD = The radius o the circle.
AD = DE = The radius o the greatest circle.
4)The sum of the angles of any triangle equate is 180 degrees.
5)Measure DCA = Measure CAD, Measure DAE = Measure AED.
9)Statment 8.
The dragons would have to speed up to balance out the time that they slowed down.
The instantaneous rates of changes are all the individual speeds at given times. If you have some that are slow, you will need to have just as many that are fast to balance it out and ensure they have the correct average speed.
Answer:
intersect at (-1,-3)
Step-by-step explanation:
y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.
y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.
both the lines meet at (-1,-3) so make a point at that location