Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Since we know this is an arithmetic sequence, to find the number of terms, it will be helpful to find the distance d between every term.
d = 1616 - 1313
d = 303
now let's think about how to generate the nth term of an arithmetic sequence given the first term 1313 and distance d.
second term = d + 1313
third term = second term + d
third term = 1313 + 2d
fourth term = third term + d
fourth term = 1313 + 3d
we are starting to see a pattern:
nth term = 1313 + (n-1)d
we know this pattern will continue because we are simply adding d to the previous term to get the next term so if the previous term n - 1 was 1313 + d(n - 2), then the next term n will be 1313 + d(n-1). to put i simply, since the first term was 1313, we know the 2nd term must be 1313 + d and since the 2nd term is 1313 + d, we know the third term must be 1313 + 2d and so on until the nth term which is 1313 + (n-1)d. we know the nth term of this sequence is 7373 and we know that d is 303 so:
7373 = 1313 + 303(n-1) and we just have to solve for n.
doing so gives:
n = 21 terms
let me know if you have any questions!
Answer:
False, False, A. 180
Step-by-step explanation:
A flat line is 180 degrees. A right isosceles triangle has one right angle. None of the sides on a scalene triangle are the same.
Answer:
Step-by-step explanation:
A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape. When you perform translations, you slide a figure left or right, up or down
basically, everything is just moving around same distance and same direction