Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
Hope this helps and have a great day! ^^
Well this is a hard question to answer, but this is how i would put it.
You would take a number (lets use 15) and the second number (lets use 5) would determine how many times it would go into 15. In other words, 5 time x would equal 15 (5x=15). 5, being a factor of 15, would evenly fit into 15 three times.
Expanded form is the form of writing numbers in addition. Example: 653 would be 600+50+3 in expanded form. .37 using powers would be 37×10^-2 .
In expanded form, we just need to expand the 37 because it is the only one with 2 different places without a 0 in either one.
Answer: 30+7×10^-2 would be the expanded form of .37 using powers of 10.
Answer:
Step-by-step explanation:
The formula for the length of a vector/line in your case.
![L = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} = \sqrt{[4 - (-1)]^2 + [2 -(-3)]^2} = \sqrt{5^2 + 5^2} = \sqrt{50} = 5\sqrt{2}](https://tex.z-dn.net/?f=L%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%7D%20%3D%20%5Csqrt%7B%5B4%20-%20%28-1%29%5D%5E2%20%2B%20%5B2%20-%28-3%29%5D%5E2%7D%20%3D%20%5Csqrt%7B5%5E2%20%2B%205%5E2%7D%20%3D%20%5Csqrt%7B50%7D%20%3D%205%5Csqrt%7B2%7D)
