(breaths in) True, <span>The </span>point<span> at which the circle and the line intersect is the </span>point of tangency<span>.</span>
Consider the coordinate plane:
1. The origin is the point where Sharon and Jacob started - (0,0).
2. North - positive y-direction, south - negetive y-direction.
3. East - positive x-direction, west - negative x-direction.
Then,
- if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
- if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).
The distance between two points with coordinates
and
can be calculated using formula

Therefore, the distance between Jacob and Sharon is

The answer to the question
Answer: y = $7.50x + $25
Step-by-step explanation:
From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.
The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:
= ($.750 × x) + $25
y = $7.50x + $25
Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.
21 and -4, because -4x21 = -84, and 21+-4 (– 4) = 17