For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
You should first look at if you have a variable that can be substituted (using substitution) and in this case we do! you plug in the x into 2x meaning 2(-4y)+7y=3
1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
3) solve -1y=3
y=-3
so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
7(-3) and our equation looks like this
2x+7(-3)=3
1) distribute 7(-3)=-21
2) rewrite then solve 2x+(-21)=3
3) isolate variable -21+21 & 3+21
4) 2x=24
5) solve 2/24 = 12
Meaning our solution is (12,-3)
This is how to solve by substitution.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
Answer:
$0.65
Step-by-step explanation:
3.75-.5=3.25
3.25/5=.65
Answer:
101.1%
Step-by-step explanation:
The two batteries are in the shape of cylinder.
The total surface area of a cylinder
SA = (2πr^2 + 2πrh ) =
For AAA battery
h = 0.8mm
r = 1.9 mm
SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )
SA = 22.68 + 9.55
SA = 32.23 mm^2
For AA battery
h = 1 mm
r = 2.75 mm
SA = (2π(2.75)^2 + 2π×2.75× 1 )
SA = 47.52 + 17.28
SA = 64.80 mm^2
Increase in SA = 64.80 - 32.23
Increase in SA = 32.57
% increase = increase in SA/AAA × 100
% increase in SA = 32.57/32.23 × 100
% increase in SA = 101.1%