Substitution means making one formula equal to a variable in the second formula to plug it in, and elimination means the cancelling out of one variable in order to make it easy to solve.
1. x-4(-x+5)=10
x+4x-20=10
5x=30
x=6, plug in 6 into original equation, y=-1
2. <u>-1(2x</u>-5y=6)
<u>2x</u>+3y=-2 underlined means cancelled, so you add the rest up on each side
5y+3y=-6+-2
8y=-8
y=-1, plug in this value to original equation, x=.5
3. 2(x+5)=2x+10
2x+10=2x+10
Infinite solutions
4. y=<u>4x</u>-3
-<u>4</u>(y=<u>x</u>+6) underlined means cancelled
-3y=-27
y=9, plug into original, x=3
We have to use the distance formula between the two points provided
The 82nd term for the sequence would be -4
19, 20, & 21 (add them up)
Answer: 735π.
Explanation:
The area of a circle is given by: A= πr^2. The radius of the circle here is 7.
So the area of the circle is:
π7^2=49π
You then multiply 49π by 15 to get the volume:
49π*15=735π