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).

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step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d