⁹P₃=9×8×7=504; ¹⁰C₄=10×9×8×7÷(4×3×2×1)=210.
Given:
The point
divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.
Answer:

Step-by-step explanation:
Use cosine:

We have

and the angle 17°.

Substitute:
<em>convert the decimal to the fraction</em>
<em>cross multiply</em>
<em>divide both sides by 9563</em>


There are 2 numbers that are 3 units from -6, it can be either from the left, in that case it would be -9, or to the right would be -3.