Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]
= [tex]\sqrt{(-4)^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex]
≈ 4.12 ( to the nearest hundredth )
Answer:
The distance between given points is: 4.12 units
Step-by-step explanation:
Given points are:
(3, 8) and (-1, 9)
Here
[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]
The distance is calculated using the following formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values, we get
[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]
Rounding off to nearest hundredth
d = 4.12 units
Hence,
The distance between given points is: 4.12 units
