Answer:
open the bracket
(4X+)-3X-2-72+X=X
4X+(-3X)-74+X=X
X-74+X=X
2X-74=X
then collect the term
-74=X-2X
-74=-X
divide by negative every side then you get
X=74
Answer:
4.5
Step-by-step explanation:
15% of 30 is 4.5
Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
So check the picture below
if we check the solutions or zeros for the equation, we get
![\bf y=-x^2+6\implies 0=-x^2+6\implies x=\pm \sqrt{6}](https://tex.z-dn.net/?f=%5Cbf%20y%3D-x%5E2%2B6%5Cimplies%200%3D-x%5E2%2B6%5Cimplies%20x%3D%5Cpm%20%5Csqrt%7B6%7D)
and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is
![\bf y=-x^2+6\implies 3.5=-x^2+6\implies x=\pm \sqrt{2.5}](https://tex.z-dn.net/?f=%5Cbf%20y%3D-x%5E2%2B6%5Cimplies%203.5%3D-x%5E2%2B6%5Cimplies%20x%3D%5Cpm%20%5Csqrt%7B2.5%7D)
the truck, ends up with a clearance of
![\bf \sqrt{2.5}-1.5](https://tex.z-dn.net/?f=%5Cbf%20%5Csqrt%7B2.5%7D-1.5)
on either side, so, the maximum clearance, the truck can have, those two clearances added together,