Answer:
a(31) = 84
Step-by-step explanation:
The first term, a(1) is 204, and the common difference is 4. That is, each new term is 4 less than the previous term.
The rule governing this arithmetic sequence is
a(n) = 204 - 4(n - 1)
and so the 31st term is
a(31) = 204 - 4(30) = 84
A+ny = n
a = n-ny
a = (1-y)n
a/(1-y) = n
<span>n = a/(1-y)</span>
Add up the length of all 4 sides
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
Answer: -p - 30
Step-by-step explanation: