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If p is the midpoint of xy, xp=8x-2 and py=12x-30, find the value of x

User Aashir
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2 Answers

4 votes

Final answer:

To find the value of x, we can use the midpoint formula which is 16/9.

Step-by-step explanation:

To find the value of x, we can use the midpoint formula. According to the formula, the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the same applies to the y-coordinate.

Given that XP = 8x - 2 and PY = 12x - 30, we can set up the equation:

(8x - 2 + 12x - 30) / 2 = x

Simplifying the equation, we get:

(20x - 32) / 2 = x

Multiplying both sides of the equation by 2 to eliminate the fraction, we get:

20x - 32 = 2x

20x - 2x = 32

18x = 32

x = 32/18

x = 16/9

User Matt Gifford
by
6.8k points
4 votes
check the picture below.

surely, you'd know how much that is.
If p is the midpoint of xy, xp=8x-2 and py=12x-30, find the value of x-example-1
User Abdullah Qudeer
by
5.8k points
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