0.27 = 3/x...multiply both sides by x
0.27x = 3...divide both sides by 0.27
x = 3/0.27 =
11.11 <==
Answer:
6a. r^5
6b. 18(4+√2)
Step-by-step explanation:
6a. The first term of the sequence is √r, and the common ratio is √r. Hence the 10th term will be ...
a1·r^(n-1) . . . for a1=√r and n=10.
√r·(√r)^(10-1) = (√r)^10 = r^5
_____
6b. The sum of n terms is given by ...
Sn = a1·(R^n -1)/(R -1)
For a1=√8 and the common ratio R = √8, the sum of 4 terms is ...
![\sqrt{8}\dfrac{(\sqrt{8})^4-1}{\sqrt{8}-1}=\sqrt{8}\dfrac{(64-1)(\sqrt{8}+1)}{(\sqrt(8))^2-(1)^2}\\\\=\sqrt{8}\dfrac{63}{7}(\sqrt{8}+1)=9(8+\sqrt{8})\\\\=18(4+\sqrt{2})](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D%5Cdfrac%7B%28%5Csqrt%7B8%7D%29%5E4-1%7D%7B%5Csqrt%7B8%7D-1%7D%3D%5Csqrt%7B8%7D%5Cdfrac%7B%2864-1%29%28%5Csqrt%7B8%7D%2B1%29%7D%7B%28%5Csqrt%288%29%29%5E2-%281%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B8%7D%5Cdfrac%7B63%7D%7B7%7D%28%5Csqrt%7B8%7D%2B1%29%3D9%288%2B%5Csqrt%7B8%7D%29%5C%5C%5C%5C%3D18%284%2B%5Csqrt%7B2%7D%29)
Or, you could add up the 4 terms:
![2\sqrt{2}+8+16\sqrt{2}+64=72+18\sqrt{2}=18(4+\sqrt{2})](https://tex.z-dn.net/?f=2%5Csqrt%7B2%7D%2B8%2B16%5Csqrt%7B2%7D%2B64%3D72%2B18%5Csqrt%7B2%7D%3D18%284%2B%5Csqrt%7B2%7D%29)
So the formula for slope is (y2 - y1)/(x2-x1), so here that would be
(-5-(-20))/(-18-(-18)) which would simplify to
(-4 +20)/(-18+18) = 16/0 and you cannot divide by 0 so the slope would be undefined
1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12
I did the math but I’m sorry if it’s not all correct
Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary.