Question

Please help it is 10th grade Equations of lines and circles 7. Michael is hanging out in the park and needs to keep his so

a. If Michael is standing at the coordinate (5, 2), and each unit represents a foot, what
equation could be used to show the proper social distance needed?
-6-5 -3-2
12 3456
b. If Jake is standing on the coordinate (1, 1), are the two friends properly distanced?
2
45

Answer 1

Explanation:

1) the required equation in common form is:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;

According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:

(x+5)²+(y-2)²=6².

2) if the distance between two friends is:

`d=√((-5-1)^2+(2-1)^2)=√(37), \ then`

this distance is longer than social (6 ft). For more info see the attachment.