10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)
Answer:
4761/10000
Step-by-step explanation:
The slope is -3/4 for your question
Answer:
![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).
Step-by-step explanation:
We have been given that point a is at (-2,4) and point c is at (4,7) .
We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.
We will use section formula to solve our given problem.
When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:
![[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)

![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).
A) 2*4/5=8/5=1.6. The blue ribbon was 1.6 meters long before it was cut.
B) 1.6*25/100=40/100=0.4
The length of the piece Linda cut off is 0.4 meters