Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park We
st for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A: 0.68 miles
B: 0.81 miles
C: 1.15 miles
D: 1.44 miles
A: 0.68 miles
B: 0.81 miles
C: 1.15 miles
D: 1.44 miles
2 answers:
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Answer:
Step-by-step explanation:
Since we know the line goes through points and
, we can construct a line in slope-intercept form
where is the slope and
is the Y-intercept.
The slope can be found using the two points provided:
The line is now represented as
To solve for , we can plug in one of the two points:
We know have our line:
To determine if the point falls on this line, we just plug the numbers into the equation and see if it holds true:
This does not hold true, so the point is not on the line.