Question

#6

Given WY with W (3, 7) and Y (13, -8), if X partitions WY such that the ratio of WX to XY is 3:2, find the coordinates of X.
My answer:
X= (5, -2)
Is this correct?

Answer 1

check the x-coordinate

Answer 2

I will go back and re-check this one then and post my new answer.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the coordinates of X, we can use the concept of section formula. The section formula states that if a point X divides a line segment WY with endpoints W(x1, y1) and Y(x2, y2) in the ratio m:n, then the coordinates of X can be found using the following formulas:

X = ( (x2 * m + x1 * n) / (m + n), (y2 * m + y1 * n) / (m + n) )

In this case, given W(3, 7) and Y(13, -8) and the ratio of WX to XY as 3:2, we can substitute the values into the formula as follows:

X = ( (13 * 3 + 3 * 2) / (3 + 2), (-8 * 3 + 7 * 2) / (3 + 2) )

Simplifying this expression, we have:

X = ( (39 + 6) / 5, (-24 + 14) / 5 )
= ( 45 / 5, -10 / 5 )
= ( 9, -2 )

Therefore, the coordinates of X are (9, -2).

Based on this calculation, your answer is incorrect. The correct coordinates of X are (9, -2).

Answer 4

[AI-generated answer — Explain Bot]

To find the coordinates of point X, we can use the concept of section formula.

The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in a ratio of m: n, then the coordinates of the dividing point (let's say X) can be found using the following formulas:

X = ((m * x₂) + (n * x₁)) / (m + n), ((m * y₂) + (n * y₁)) / (m + n)

In this case, W(3, 7) and Y(13, -8) are the two points dividing the line segment WY, and the ratio of WX to XY is given as 3:2.

Using the section formula, we can calculate the coordinates of point X:

X = ((3 * 13) + (2 * 3)) / (3 + 2), ((3 * -8) + (2 * 7)) / (3 + 2)
X = (39 + 6) / 5, (-24 + 14) / 5
X = 45 / 5, -10 / 5
X = 9, -2

Hence, the correct coordinates of point X are (9, -2).

Since your answer is (5, -2), it seems to be incorrect. Please recheck your calculations.