11. 5x^2-30=0
+30 to both sides
5x^2=30
÷5 both sides
x^2=6
square root both sides
x= +square root 6 ,- square root 6
12. 4x^2+10=26
-10 both sides
4x^2=16
÷4 both sides
x^2=4
square root both sides
x=+2,-2
13. a=72yrd^2
l=2w
w=?
a=l×w
72=2w×w
72=2w^2
÷2 both sides
36=w^2
square root both sides
w=+6,-6
a measurement can't be - so w=6
Plug into l=2w
l=2×6
l=12
w=6
There's a formula for that.
KE = (1/2)mv²
... = (1/2)(2000 kg)(30 m/s)²
... = 900,000 kg·m²/s²
... = 900,000 J
_____
It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.
1 J = 1 kg·m²/s²
You can use the distance formula
Sqroot((x2-x1)^2 + (y2-y1)^2)
(2,-1) and (5,3), use given points
Sqroot((5-2)^2 + (3-(-1))^2)
Sqroot((3)^2 + (4^2)
Sqroot(9+16) = squareroot of 25
Squareroot of 25 = 5
Solution: D. 5 units
Answer: 16 one side 32 second side 48 third side
Step-by-step explanation:
16;32;48
3;4;5