Question

For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.

x2 + y2 = 49
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.
Table:
X 0 [ ] 16 9 [ ]
Y [ ] √2 [ ] [ ] -√5

Answer 1

Following are the solution to the given question:

Explanation:

Given:

`\to x^2+y^2=49`

When

`x=0\\\\0^2+y^2=49\\\\y^2=49\\\\y= \pm 7`

So, order pass
`(0,\pm 7)`

Similarly When

`y=0\\\\x^2+0^2=49\\\\x^2=49\\\\x= \pm 7`

So, order pass
`(\pm 7,0)`

`x \ \ \ \ \ \ \ 7 \ \ \ \ \ \ \ -7\ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 0 \\\\y \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 7 \ \ \ \ \ \ \ -7 \\\\`