Question

can someone help me with this​

Answer 1

Answer:

(1, 3)

Step-by-step explanation:

Origin is the point (0,0) on the graph.

Distance between 2 points=

$\sqrt{ {(x1 - x2)}^{2} + (y1 - y2)^{2} }$

Hence using the formula above,

$\sqrt{ {(x1 - 0)}^{2} + (y1 - 0)^{2} } = \sqrt{10} \\ (x1) ^{2} + {(y1)}^{2} = 10$

1) subst. x₂=0, y₂=0 and distance = √10

2) simplify expression and square both sides

So the answer could be any point in which the sum of the square of the x coordinate and the square of the y coordinate equals to 10.

When x₁= 1,

1² + (y₁)²= 10

1+ (y₁)² = 10

(y₁)²= 10 -1

(y₁)²= 9

y₁= ± √9

y₁= 3 or y₁= -3

Thus, the other point could be (1 ,3).