Typographers measure font sizes in units called points. One point is equal to 1/72 inches. Esmeralda is typing a research paper
2 answers:
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1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .
Using the distance formula, , what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?
Using the points given, plug them into the equation.
Plug this into a calculator and you get 6.32455532
Since you only need it up to the tenth (0.1), round up 6.32
<em>Five or more, let it soar. Four or less, let it rest.</em>
Since two is lower than four, we drop it.
Therefore, the distance between points (-2, 2) and (4, 4) is 6.3
Hope this helps ^w^