Find the distance between (3,-5) and (-4,10) on the xy -plane.

## Step 1
The problem asks us to find the distance between two points on the xy-plane. The formula to find the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ on the xy-plane is given by:
### $$\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
## Step 2
Substitute the given points $(3,-5)$ and $(-4,10)$ into the formula. This gives us:
### $$\sqrt{(-4 - 3)^2 + (10 - (-5))^2}$$
## Step 3
Simplify the expression inside the square root:
### $$\sqrt{49 + 225}$$
## Step 4
Add the numbers inside the square root:
### $$\sqrt{274}$$
## Step 5
The square root of 274 can be simplified to $13 \sqrt{2}$.