Respuesta :
Answer:
The correct answers are:
Point C(-3.6, -3.4) divides AB in the ratio 2 : 3. ↔ A(-2, -1) and B(-6, -7)
Point C(8, 9) divides AB in the ratio 5 : 3. ↔ A(3, 4) and B(11, 12)
Point C(0, 1) divides AB in the ratio 4 : 7. ↔ A(4, -3) and B(-7, 8)
Point C(-2, 5) divides AB in the ratio 2 : 6. ↔ A(-5, 2) and B(7, 14)
Step-by-step explanation:
I got it right on the Edmentum test.
The point C(-3.6, -3.4) divides AB in the ratio 2 : 3. ↔ A(-2, -1) and B(-6, -7), point C(8, 9) divides AB in the ratio 5 : 3. ↔ A(3, 4) and B(11, 12).
What is a straight line?
A straight line is a combination of endless points joined on both sides of the point.
As we know if a line segment is divided by a point, so we can find the coordinate of the point by section formula:
[tex]\rm x = \dfrac{mx_2+nx_1}{m+n}[/tex]
[tex]\rm y = \dfrac{my_2+ny_1}{m+n}[/tex]
From the section formula, we can identify the correct match;
The correct matches are:
- Point C(-3.6, -3.4) divides AB in the ratio 2 : 3. ↔ A(-2, -1) and
B(-6, -7)
- Point C(8, 9) divides AB in the ratio 5 : 3. ↔ A(3, 4) and B(11, 12)
- Point C(0, 1) divides AB in the ratio 4 : 7. ↔ A(4, -3) and B(-7, 8)
- Point C(-2, 5) divides AB in the ratio 2 : 6. ↔ A(-5, 2) and B(7, 14)
Thus, the point C(-3.6, -3.4) divides AB in the ratio 2 : 3. ↔ A(-2, -1) and B(-6, -7), point C(8, 9) divides AB in the ratio 5 : 3. ↔ A(3, 4) and B(11, 12).
Learn more about the straight line here:
brainly.com/question/3493733
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