Question

Find the distance between the points (9,1) and (6,5). Write your answer as a whole number or a fully simplified radical expression. Do not round. units

a) 5 units
b) 3 units
c) 2√5 units
d) 42 units

Answer 1

The distance between the points (9,1) and (6,5) is calculated using the Pythagorean theorem. Plugging the point coordinates into the distance formula, we find the distance to be 5 units.

Step-by-step explanation:

The distance between two points in a coordinate plane can be found using the Pythagorean theorem. To find the distance between the points (9,1) and (6,5), we can treat these points as vertices of a right triangle and the distance as the hypotenuse of that triangle.

The formula to calculate the distance 'd' is:

d = √((x2-x1)² + (y2-y1)²)

Substitute the values into the formula:

d = √((6-9)² + (5-1)²)
= √((-3)² + (4)²)
= √(9 + 16)
= √25
= 5

So the distance between the points (9,1) and (6,5) is 5 units.