3 years ago

Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day. How far did he jog each day?

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

Answer:

He jogged 2.8 miles a day.

Step-by-step explanation:

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A circular pond is modeled by the equation x^2 + y^2= 225. A bridge over the pond is modeled by a segment of the equation x – 7y

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$x^2+y^2=225 \\
x-7y=-75 \\ \\
\hbox{solve the second equation for x:} \\
x-7y=-75 \ \ \ |+7y \\
x=7y-75 \\ \\
\hbox{substitute 7y-75 for x in the first equation:} \\
(7y-75)^2+y^2=225 \\
49y^2-1050y+5625+y^2=225 \\
50y^2-1050y+5625=225 \ \ \ \ \ \ \ \ \ |-225 \\
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y^2-9y-12y+108=0 \\
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y=12 \ \lor \ y=9$

$x=7y-75 \\
x=7 \times 12 -75 \ \lor \ x=7 \times 9-75 \\
x=84-75 \ \lor \ x=63-75 \\
x=9 \ \lor \ x=-12 \\ \\
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The points are (9,12) and (-12,9).
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