Find the distance between the coordinate points, a (two, 14) and B (10, three). Rounder answered to the nearest 10th.

Question

a^2+b^2=c^2

The distance between two points is_____ units.

Answer 1

To find the distance between the points $A(2,14)$ and $B(10,3)$, we can use the distance formula:

$$d=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$$

Here, $(x_1,y_1)=(2,14)$ and $(x_2,y_2)=(10,3)$.

Now, substituting the values:

$$d=\sqrt{(10-2{)}^2+(3-14{)}^2}$$ $$d=\sqrt{(8{)}^2+(-11{)}^2}$$ $$d=\sqrt{64+121}$$ $$d=\sqrt{185}$$

Next, we can find the approximate value of $\sqrt{185}$:

$$\sqrt{185}\approx 13.6$$

Thus, the distance between the two points is approximately 13.6 units when rounded to the nearest tenth.

So, the final answer is:

The distance between two points is 13.6 units.