Question

Find the distance between (–3, –5) and (3, 4).

A) √45.
B) √117.
C) 11.
D) √144.

Answer 1

To find the distance between the points –(3, –5) and (3, 4), apply the distance formula from the Pythagorean theorem, yielding √117 as the answer, which corresponds to option B).

Step-by-step explanation:

To find the distance between two points in a coordinate plane, you can use the distance formula derived from the Pythagorean theorem. Here, we are looking for the distance between points –(3, –5) and (3, 4). The distance formula is: √((x2 - x1)² + (y2 - y1)²).

Substituting the given points into the formula:

1. First, calculate the difference in the x-coordinates: (3 - (–3)) = 6.
2. Next, calculate the difference in the y-coordinates: (4 - (–5)) = 9.
3. Now, square both results: 6² = 36 and 9² = 81.
4. Add these squares together: 36 + 81 = 117.
5. Finally, take the square root of 117 to find the distance: √117 which is the same as the option B).