Answer:
Step-by-step explanation:
Comment.
You need to use the addition formula when the last term is not given. Mind you, you could find it, but it is just as easy to get the answer without it.
Givens
a1 = 2
d = 3
n = 36
Formula
Sum = n(a1 + (n - 1)* d)/2
Solution
Sum = 36(2 + (36 - 1)*3 )/2 Combine the brackets
Sum = 36 (2 + 35*3 )/2
Sum = 36(2 + 105) /2 Combine the brackets
Sum = 36 * 107/2
Sum = 3852 /2
Sum = 1926
Answer
1926
9514 1404 393
Point-slope form is ...
y -y1 = m(x -x1) . . . . . . line with slope m through point (x1, y1)
The given point is (6, -1), so ...
x1 = 6
y1 = -1
The given slope is 2, so ...
m = 2
Substituting these into the point-slope form above gives ...
y -(-1) = 2(x -6)
y +1 = 2(x -6)
Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!