We have been given two points.
and
. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.
We will use segment formula to solve our given problem.
When a point P divides segment any segment internally in the ratio
, then coordinates of point P are:
![[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cleft%5D)
and
.

Upon substituting our given information in above formula, we will get:
![[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B4%283%29%2B1%283%29%7D%7B4%2B1%7D%2Cy%3D%5Cfrac%7B4%289%29%2B1%284%29%7D%7B4%2B1%7D%5Cleft%5D)
![[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B12%2B3%7D%7B5%7D%2Cy%3D%5Cfrac%7B36%2B4%7D%7B5%7D%5Cleft%5D)
![[\right x=\frac{15}{5},y=\frac{40}{5}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B15%7D%7B5%7D%2Cy%3D%5Cfrac%7B40%7D%7B5%7D%5Cleft%5D)
![[\right x=3,y=8\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D3%2Cy%3D8%5Cleft%5D)
Therefore, the coordinates of point B would be
.
Answer:
Each friend gets 3 cards
Step-by-step explanation:
Divide 15 by 5 since he is splitting 15 cards with 5 friends.
:D
Answer:
- row - F
- column - K
- column - S
- row - B
- column - K
- column - G
Step-by-step explanation:
1. The least four digit number found in the rows is : 1164
The row is F
2. The maximum number of digits in counting order is : 1 3 5 7 9
The column is K
3. The highest 3 digit number in a column is 992
The column is S
4. The palindrome with greatest number of digits is 7117
The row is B
5. The greatest number of odd numbers in counting order is : 1 3 5 7 9
The column is K
6. The palindrome with greatest number of digits is 235532
The column is G
I think that the correct answer is D. SAS
But I’m no sure tho
Hope you get it right
Answer:
3
Step-by-step explanation:
The median is the central number of the data. Align numerically (2, 2, 4, 4) and find the center number. Since there are two, find the average of 2 and 4 to get 3. ([2+4]/2=3)