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sleet_krkn [62]

3 years ago

8

13. One-fourth of a number is the same as the square of -3

1 answer:

Alex777 [14]3 years ago

4 0

Whats the answer choices

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3 years ago

Point G is located at (3, −1) and point H is located at (−2, 3). Find y value for the point that is 2 over 3 the distance from p

melamori03 [73]

Answer: The answer is $\dfrac{5}{3}.$

Step-by-step explanation: Given that the co-ordinates of point G and H are (3, -1) and (-2, 3) respectively.

We are to find the y-value of the point P that is located at two-third distance from point G to point H.

As shown in the attached figure, the ration in which the point P divides the line segment GH is 2 : 1.

Therefore, the co-ordinates of point P will be

$\left(\dfrac{2\times (-2)+1\times 3}{2+1},\dfrac{2\times 3+1\times (-1)}{2+1}\right)\\\\\\=\left(\dfrac{-4+3}{3},\dfrac{6-1}{3}\right)\\\\=\left(\dfrac{-1}{3},\dfrac{5}{3}\right).$

Thus, the y-value of the point P is $\dfrac{5}{3}.$

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