Answer:
This would be a right triangle
Step-by-step explanation:
The length can be found using the Pythagorean Theorem...
c^2=a^2+b^2 and in this case:
d^2=(dx^2)+(dy^2)
d^2=(3-7)^2+(12-9)^2
d^2=-4^2+3^2
d^2=16+9
d^2=25
d=5
So the length of AB=5 units.
Ahh good ole calculus. It’s been awhile. I think you plug in 9 for k and you should get 2(4)^9-1, which equals 2(4)^8. The only option would be your first.
Answer: Choice D. (x/8) - 2 = 5
Work Shown:
x = Aatif's age
x/8 = divide the age by 8
(x/8) - 2 = divide the age by 8 first, then subtract off 2
(x/8) - 2 = 5 .... the previous result is equal to 5
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where 
is the initial height, 
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when 
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
