Answer:
Is there a picture to go along with this question
Step-by-step explanation:
When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2),
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point.
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10
use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)
use the same method to find the coordinates of D.
the answer I've got for D is (58/9, -2) please double check my calculation.
Answer:
![w = 20](https://tex.z-dn.net/?f=w%20%3D%2020)
Step-by-step explanation:
<u>Step 1: Find common bases</u>
![81^5 = 3^w](https://tex.z-dn.net/?f=81%5E5%20%3D%203%5Ew)
→
→ ![3^4](https://tex.z-dn.net/?f=3%5E4)
Therefore, ![81 = 3^4](https://tex.z-dn.net/?f=81%20%3D%203%5E4)
→
→ ![3^2^0](https://tex.z-dn.net/?f=3%5E2%5E0)
So... ![3^2^0 = 3^w](https://tex.z-dn.net/?f=3%5E2%5E0%20%3D%203%5Ew)
Since same base now, we can evaluate the exponents by themselves.
![20 = w](https://tex.z-dn.net/?f=20%20%3D%20w)
Answer: ![w = 20](https://tex.z-dn.net/?f=w%20%3D%2020)