Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P =
.
But,
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. ![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
So, the ratio is k : 1 i.e
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also,
= m where ![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
i.e. m = ![\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B9%20%5Ctimes%203%7D%7B2%7D-1%7D%7B%5Cfrac%7B3%7D%7B2%7D-1%7D)
i.e. m = ![\frac{27-2}{3+2}](https://tex.z-dn.net/?f=%5Cfrac%7B27-2%7D%7B3%2B2%7D)
i.e. m = ![\frac{25}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B5%7D)
i.e. m = 5.
Hence, the value of m is 5.
Wish I could help I’m not good at math
So there are 52 horses
12 of them are white
how many are black?
52 - 12 = 40
there are 40 black horses
12 white horses to 40 black horses
12:40
12/40
Hope this helps :)
One- twelfth for the first tiny line and the two-twelfth and so on until u reach 1
Answer:
x = 4
Move variables to the right and constants to the left. Then divide.
Step-by-step explanation:
5x + 10 = 7.5x (Given)
-2.5x = -10 (subtraction property of equality)
x = 4 (division property of equality)