What are the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6)

The coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6) are (2, 2).

Step-by-step explanation:

Given the points

We need to find the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6).

Let P be the required point, then

AP : AB = 3 : 5

as

so

AP / AB = 3/5

AP / (AP + BP) = 3/5

5AP = 3(AP + BP)

5AP = 3AP + 3BP

2AP = 3BP

AP/BP = 3/2

AP : BP = 3 : 2

The formula of the coordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n is:

For the given division,

m : n = 3 : 2

Thus, the coordinates of the point P are:

Therefore, the coordinates of the point 3/5 of the way from A(-4,-4) to B(6,6) are (2, 2).

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

i dont get the question

step-by-step explanation: