Question

What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if

necessary
a 4 units
b 8 units
c 5.7 units
d 11.4 units"

Answer 1

Using the distance formula, the distance between the points (2, 3) and (-2, 7) is calculated as approximately 5.7 units, which is option c.

Step-by-step explanation:

To calculate the distance between the points (2, 3) and (-2, 7), we can use the distance formula derived from the Pythagorean theorem:

d = √((x2 - x1)² + (y2 - y1)²)

Plugging in the coordinates:

d = √((-2 - 2)² + (7 - 3)²)

d = √((-4)² + (4)²)

d = √(16 + 16)

d = √(32)

d ≈ 5.7 to one decimal place.

Therefore, the distance is approximately 5.7 units, matching option c.