Answer:
Step-by-step explanation:
t1 = a1
t2 = a1 + d
t3 = a1 + 2d
The sum is t1 + t2 + t3 = a1 + a1 + d + a1 + 2d = 3a1 + 3d
Second question
t1 = a1
t2 = a1 + d
t3 = a1 + 2d
t4 = a1 + 3d
...
tn = a1 + (n - 1)*d
Sum = (a1 + a1 + (n- 1)*d) * n / 2
Sum = (2a1 + nd - d) * n / 2
Sum = (2a1*n + n^2*d - nd) / 2
PerSolve.
After filling a gas tank the odometer read
39 comma 007.239,007.2.
After the next filling it read
39 comma 469.239,469.2.
It took
16.516.5
gal to fill the tank. How many miles per gallon did the driver get?
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
Answer:
(x, y) → (x+8, y-3)
Step-by-step explanation:
You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.
For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.
(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)