#4 Find the distance between points R(0,5) and S(12,3). Round the answer to the nearest tenth.

Question

*
1 point
10.4
16
12.2
11.8

Answer 1

To find the distance between two points $R(0,5)$ and $S(12,3)$, we use the distance formula:

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

Here, $(x_1,y_1)$ are the coordinates of $R$ and $(x_2,y_2)$ are the coordinates of $S$.

Substitute the given coordinates into the formula:

$$d=\sqrt{(12-0{)}^2+(3-5{)}^2}$$

Calculate the values inside the square root:

$$d=\sqrt{(12{)}^2+(-2{)}^2}$$

Simplify the squares:

$$d=\sqrt{144+4}$$

$$d=\sqrt{148}$$

To round to the nearest tenth, calculate the square root of 148:

$$\sqrt{148}\approx 12.1655$$

Rounding 12.1655 to the nearest tenth gives:

$$\approx 12.2$$

Therefore, the distance between the points R and S is approximately 12.2.

The correct answer is:

**12.2**