96 POINTS!!!! PLEASE HELP!
2 answers:
A. I suppose the horizontal axis represents the amount of miles Anna drives. You're asked to use the graph to find an equation for the line. You know two points it passes through; this is enough to determine the slope of the line:
Now use the point-slope formula to get the line's equation. Using the leftmost point, for instance, we have
This is to say, the amount of fuel (in gal) that Anna uses is given exactly by dividing the distance traveled
(in mi) by 48.
B. Driving 12,000 mi requires 250 gal of fuel (according to both the rightmost point on the graph as well as the value of in the previous equation for
). She pays $2.40 per gal, so the total cost for 250 gal is
($2.40/gal) * (250 gal) = $600
C. Evan's car uses approximately
(12,000 mi) / (30 mi/gal) = 400 gal
per year, which costs him an annual total of about
(400 gal) * ($2.40/gal) = $960
We need to know the price of Anna's car to answer the actual question, though...
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Melanie said:
Every angle bisector in a triangle bisects the opposite side perpendicularly.
A 'counterexample' would show an angle bisector in a triangle that DOESN'T
bisect the opposite side perpendicularly.
See my attached drawing of a counterexample.
Both of the triangles that Melanie examined have equal sides on both sides
of the angle bisector. That's the only way that the angle bisector can bisect
the opposite side perpendicularly. Melanie didn't examine enough different
triangles.
Every angle bisector in a triangle bisects the opposite side perpendicularly.
A 'counterexample' would show an angle bisector in a triangle that DOESN'T
bisect the opposite side perpendicularly.
See my attached drawing of a counterexample.
Both of the triangles that Melanie examined have equal sides on both sides
of the angle bisector. That's the only way that the angle bisector can bisect
the opposite side perpendicularly. Melanie didn't examine enough different
triangles.