Helen walk 2 3/4 miles per day. Bill run's 10 miles every 4 days. In 4 days, who runs the longest distance

1 answer:

5 0

Helen runs the longest distance in 4 days.

Helen (In 4 days): 2.75 x 4 = 11

Bill (In 4 days): 10

11 (Helen) > 10 (Bill), so therefore Helen runs the longest distance in 4 days.

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Answer:

Center: (3,3)

Radius: $2\sqrt{5}$

Step-by-step explanation:

Midpoint and Distance Between two Points

Given two points A(x1,y1) and B(x2,y2), the midpoint M(xm,ym) between A and B has the following coordinates:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The distance between both points is given by:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Point (5,7) is the center of circle A, and point (1,-1) is the center of the circle B. Given both points belong to circle C, the center of C must be the midpoint from A to B:

$\displaystyle x_m=\frac{5+1}{2}=\frac{6}{2}=3$