Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:
a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.
What is the distance between two points?
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:
[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]
Greater than 6 miles, hence option a is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
