Respuesta :
Answer:
The correct option is D.
Step-by-step explanation:
The distance between two points is
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The two points on a coordinate grid are (1, -2) and (-9, 3). So, the distance between these two points is
[tex]D=\sqrt{(-9-1)^2+(3-(-2))^2}[/tex]
[tex]D=\sqrt{(-10)^2+(5)^2}[/tex]
[tex]D=\sqrt{100+25}[/tex]
[tex]D=\sqrt{125}[/tex]
[tex]D\approx 11.18[/tex]
The distance between (1, -2) and (-9, 3) is 11.18 units. Therefore the correct option is D.
The approximate distance between the points (1, -2) and (-9, 3) on a coordinate grid is; D: 11.18 units
How to find the distance between two coordinates?
The formula for distance between two coordinates is;
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
We are given the coordinates as (1, -2) and (-9, 3). Thus;
d = √[(3 + 2)² + (-9 - 1)²]
d = √(25 + 100)
d = √125
d = 11.18 units
Read more about distance between coordinates at; https://brainly.com/question/7243416
#SPJ1
