4. Given points A(22, 24) and B(6, 1), find the coordinates of the point P on the directed line segment that partitions using the ratio 3:2.
You could have checked by just expanding your answer.
(x-2)(3x+1)
= x^2 + x - 6x - 2
= x^2 - 5x - 2
Notice how it differs from the original?
How do you think you should adjust your answer?
Follow the same steps I just showed you in your previous post dealing with the same kind of question.
Let me know what you get
I solved the problem but just to make sure can you checking its correct or not.
The trinomial I had to solve for was
3x^2+5x-2
The method I used was Slide and divide and I got (x-2)(3x+1)
Can anyone please check if I did it correctly or not?
To find the coordinates of point P on the directed line segment that partitions AB using the ratio 3:2, 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) in a coordinate plane, and we want to find the coordinates of a point P that divides the line AB in the ratio m:n, then the coordinates of P can be found using the following formula:
Px = (mx2 + nx1) / (m + n)
Py = (my2 + ny1) / (m + n)
In this case, we have the points A(22, 24) and B(6, 1), and we want to find the coordinates of P using the ratio 3:2.
Let's plug in the values into the formula:
Px = (3 * 6 + 2 * 22) / (3 + 2) = (18 + 44) / 5 = 62 / 5 = 12.4
Py = (3 * 1 + 2 * 24) / (3 + 2) = (3 + 48) / 5 = 51 / 5 = 10.2
Therefore, the coordinates of point P that partitions the line segment AB in the ratio 3:2 are approximately P(12.4, 10.2).