Both the numerator and the denominator can be easily divided by 9. so you get:
2/10
as you can tell it can still be simplified. both the numerator and denominator can be divided by 2. so your final answer is
1/5
45 90
/ \ / \
5 9 45 2
/ \ / \
3 3 5 9
5x3x3 / \
3 3
2x5x3x3
Answer:
b = 8
Step-by-step explanation:
Use the Pythagorean theorem
c^2 = a^2 + b^2
c = 10
a = 6
b = ?
Substitute into the formula
10^2 = 6^2 + b^2
100 = 36 + b^2 Subtract 36 from both sides
100 - 36 = b^2 Combine
64 = b^2 Take the square root of both sides.
√64 = √b^2
b = 8
D) f(n) = 3 + 4(n-1)
3 = 1st term
4 = common difference among the terms
n = term number you are looking for.
To check: 3, 7, 11, 15, ...
f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15