The distance between points (-3, -4) and (-8, 1) is 7.07 units.
The correct answer is option (d) 7.07 units
The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is :
[tex]d=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]
For given example,
We have been given two points (-3, -4) and (-8, 1).
We need to find the distance between two points.
Let, [tex](x_1,y_1)=(-3,-4),(x_2,y_2)=(-8,1)[/tex]
Using distance formula,
⇒ [tex]d=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]
⇒ [tex]d=\sqrt{(-8-(-3))^{2} + (1-(-4))^{2} }[/tex]
⇒ [tex]d=\sqrt{(-8+3)^2+(1+4)^2}[/tex]
⇒ [tex]d=\sqrt{(-5)^2+(5)^2}[/tex]
⇒ [tex]d=\sqrt{25+25}[/tex]
⇒ [tex]d=5\sqrt{2}[/tex]
⇒ [tex]d=7.07[/tex] units
Therefore, the distance between points (-3, -4) and (-8, 1) is 7.07 units.
The correct answer is option (d) 7.07 units
Learn more about distance between two points:
https://brainly.com/question/8792086
#SPJ2
