We have been given two points. $A(3,4)$ and $C(3,9)$ . 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 $m:n$ , then coordinates of point P are:

$[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]$

$(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(3,9)$ .

$m=4,n=1$

Upon substituting our given information in above formula, we will get:

$[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]$

$[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]$

$[\right x=\frac{15}{5},y=\frac{40}{5}\left]$

$[\right x=3,y=8\left]$

Therefore, the coordinates of point B would be $(3,8)$ .

8 0

3 years ago

Y=-x+5 x-y=-9 Solve the system?

hram777 [196]

Answer:

x=-2 y=7

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Pls Help Psl help brainliest

kumpel [21]

X=31, the other post justifies, I just wanted to make it more accessible for if someone just needs the answer :)

7 0

3 years ago

Read 2 more answers

Simplify use the image to find your answer 6x3 6x6 10x3 10x6

-BARSIC- [3]

Answer:

xdr cty ion BP in Kathmandu Nicosia Qaeda quartet

Step-by-step explanation:

s Diego jessop I'm so Odom z

3 0

2 years ago

Read 2 more answers