Answer:
Answer is below
Step-by-step explanation:
Simplify both sides of the equation.
DIstribute
CLT
Add 12 to both sides.
Divide both sides by 6.
Hey there!
The distributive property is defined as:
a(b+c) = ab+ac.
Since a is being multiplied by b and c, it's a common factor. In this situation, our common factor is 6, as it goes into 6x and 42. So, we have:
6(7 + x)
Hope this helps!
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
5 - x = 12
We're essentially just trying to get "x" onto its own side.
So, simply subtract 5 from both sides.
-x = 12 - 5
Simplify.
-x = 7
Now, divide both sides by -1.
x = -7
~Hope I helped!~
Answer:
37 1/2 yards
Explanation:
3/4 as a decimal is .75 so if you multiply 50 by .75 you'll end up with the answer of 37 1/2 yards.
