Answer:
y = 1/6
Step-by-step explanation:
direct variation
y =kx
substitute in what we know to find k
1/2 = k*3
solve for k
divide by 3
1/2 /3 = k
1/6 = k
substitute k into the direct variation equation
y = 1/6 x
let x = 1
y = 1/6 *1
y = 1/6
C.
Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope intercept form.
y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides.
0 = b
Since the intercept is 0, you will not see a number after the slope and x.
Answer:
Circumference of a circle
1st term a₁ = - 3.7; common difference d = - 1.3
the nth term a(n) = a₁ +(n-1)d or a(n) = 3.7 + (n-1)(-1.3)
a(n) = - 3.7 - 1.3n + 1.3 ====> -2.4 - 1.3.n Or as per your answer:
a(n) = -1.3.n - 2.4