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**
#4 Find the distance between points R(0,5) and S(12,3). Round the answer to the nearest tenth.
*
1 point
10.4
16
12.2
11.8
1 answer