Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Y-intercept: (0,-3)
x-intercept: (0,5)
Answer:
BC=25
Step-by-step explanation:
this is an isosceles triangle, so sides AB and sides AC are equal
AB = AC
4x+1 = 2x+23
subtract 2x from each side
2x+1 = 23
subtract 1 from each side
2x =22
divide by 2 on each side
x =11
BC = 3x-8
substitute the value of x
BC = 3*11 -8
BC = 33 -8
BC=25