Question

Bro this hard who can help me

Answer 1

12

Explanation:

End points of
`\overline{RS}` are:

`R (4, \:-8)\implies x_1 = 4,\: y_1=-8`

`S (25, \:-1)\implies x_2 = 25,\: y_2=-1`

Point T divides
`\overline{RS}` in the ratio 4 : 3

`\implies m = 4,\: n= 3`

Now, by section formula:

`T=\bigg((mx_2+nx_1)/(m+n),\:\:(my_2+ny_1)/(m+n)\bigg)`

Plugging in the values of
`x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n` in the above formula, we find:

`T=\bigg((4(25)+3(4))/(4+3),\:\:(4(-1)+3(-8))/(4+3)\bigg)`

`\implies T=\bigg((100+12)/(7),\:\:(-4-24)/(7)\bigg)`

`\implies T=\bigg((112)/(7),\:\:(-28)/(7)\bigg)`

`\implies T=(16,\:\:-4)`

Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12