which expression represents the distance between point Q and point R? when Q is (-6, -9) and R is (12, -9)
To find the distance between two points, we can use the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Here, point Q is (-6, -9) where x₁ = -6 and y₁ = -9.
And point R is (12, -9) where x₂ = 12 and y₂ = -9.
Substituting the values in the distance formula:
Distance = √((12 - (-6))² + (-9 - (-9))²)
= √((12 + 6)² + (-9 + 9)²)
= √((18)² + (0)²)
= √(324 + 0)
= √(324)
= 18
Therefore, the distance between point Q and point R is 18.
To find the distance between point Q and point R when Q is (-6, -9) and R is (12, -9), you can use the distance formula. The formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) represents the coordinates of point Q and (x2, y2) represents the coordinates of point R.
Plugging in the values, we have:
d = √((12 - (-6))^2 + (-9 - (-9))^2)
Simplifying:
d = √((18)^2 + (0)^2)
d = √(324 + 0)
d = √324
d = 18
Therefore, the distance between point Q and point R is 18 units.