Question

Bro this hard who can help me

Answer 1

Answer:

12

Step-by-step 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:

$T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)$

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

$T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)$

$\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)$

$\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)$

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

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