144t-16t^2= 16t(9-t)
after 3 seconds (just substitute t=3):
16(3)(9-3)=
16(3)(6)=
16*18=
288
maximum height: find the average of the roots:
the roots of 16t(9-t) are t=0 or t=9
since it's a parabola, the maximum is at t=4.5, at 324 ft
if its height is 224 feet, the equation is 224=144t-16t^2
16t^2-144t+224=0
divide by 16: t^2-9t+14=0
this can be factored as (t-2)(t-7)=0
the roots are t=2 and t=7, so the ball has been in the air for either 2 seconds or 7 seconds
the roots to 144t-16t^2 are 0 and 9, so the ball will hit the ground 9 seconds after being thrown
Answer:
System of two linear equations can't have exactly two solutions. Reason is that when we have two straight lines,they can only intersect at one point of intersection,no more. Or let's see if lines are equivalent,then they have infinitely many solutions,because any point on line can be solution for the system.
Step-by-step explanation:
Answer:
that's a flower and i know the different parts the top is the flower and the thing that keeps it up is the steam and the root and the root underground sucks the water.
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the other 2 oposite interior angles
therfor
95=4x-8+3x-18
95=7x-24
add 24 both sides
119=7x
divide both sides by 7
17=x
sub back
4x-8
4(17)-8
68-8
60=∠F
3x-16
3(17)-16
51-16
35=∠G