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djyliett [7]
2 years ago
11

Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER

Mathematics
1 answer:
salantis [7]2 years ago
7 0

<u>The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.</u>

Answer:

<em>The point Q is (2,3)</em>

Step-by-step explanation:

Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).

The required point Q must satisfy the relation:

d(RQ) = 2/3 d(RS)

Where d is the distance between two points.

The horizontal and vertical axes also satisfy the same relation:

x(RQ) = 2/3 x(RS)

x_R-x_Q=2/3(x_R-x_S)

And, similarly:

y_R-y_Q=2/3(y_R-y_S)

Working on the first condition:

-2-x=2/3(-2-4)=2/3(-6)

Removing the parentheses:

-2-x=-4

Adding 2:

-x = -2

x = 2

Similarly, working with the vertical component:

1-y=2/3(1-4)=2/3(-3)

Removing the parentheses:

1-y=-2

Subtracting 1:

-y = -3

y = 3

The point Q is (2,3)

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