Answer: x³+y³=180
Step-by-step explain: let's remember the formula x³+y³=(x+y)(x²-xy+y²) and also x³+y³=(x+y)³-3xy(x+y) then
Answer:
The coordinates of point Y are (9 , 12)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (a , b) divides a line whose end points are (c , d) and (e , f) at
ratio p : q from the point (c , d), then
and
∵ Segment XY has one endpoint at X (0 , 0)
∵ Point (3 , 4) is 1/3 of the way from X to Y
∴ Point (3 , 4) divides the segment XY, where the distance from X
to the point (3 , 4) is 1 part and from point (3 , 4) to Y is 2 parts
∴ Point (3 , 4) divides segment XY to the ratio 1 : 2 from X
- Let point (a , b) is (3 , 4)
- Let point (c , d) is X (0 , 0)
- Let point (e , f) is Y
- Let p : q = 1 : 2
* <em>Lets find e and f</em>
∵
∴
∴
- Multiply both sides by 3
∴ 9 = e
∴ <u><em>The x-coordinate of point Y is 9</em></u>
∵
∴
∴
- Multiply both sides by 3
∴ 12 = f
∴ <u><em>The y-coordinate of point Y is 12</em></u>
* The coordinates of point Y are (9 , 12)
