Answer:
196
Step-by-step explanation:
Hello,
Let's x² the square number
and 3*y the multiple of 3.
![x^2+3y=90\\\\\boxed{y=-\dfrac{1}{3} x^2+30}\\\\](https://tex.z-dn.net/?f=x%5E2%2B3y%3D90%5C%5C%5C%5C%5Cboxed%7By%3D-%5Cdfrac%7B1%7D%7B3%7D%20x%5E2%2B30%7D%5C%5C%5C%5C)
2 solutions : for (x,y) as integers : (-6,18) and (6,18)
but one solution for (x²,3y) as integers :<u> (36,54) </u>
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39