Answer:
Step-by-step explanation:
y-4x=6
y=6+4x, using this value in 2y-3x=4 gives
2(6+4x)-3x=4
12+8x-3x=4
5x+12=4
5x=-8
x= -8/5= -1.6, making y=6+4x become
y=6+4(-1.6)
y= -0.4, so the solution is the point
(-1.6, -0.4)
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: C
Step-by-step explanation: all other statements are true because of CPCTC theorem. Therefore, we can conclude that C is the correct answer
Answer:
B.24
Step-by-step explanation:
we know,
exterior angle = 360°/n(where 'n' is number of sides)
then,
15° = 360°/n
n = 360°/15°
n = 24