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nothingworksoutforme
24.06.2021 •
Mathematics
Which is bigger -4 or -5
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Ответ:
-4
Step-by-step explanation:
-4 would be larger than -5 because negative numbers get smaller the farther they are from zero.
Ответ:
your answers are:
1) ab ⊥ ac
2) the triangle is a right triangle.
3) the triangle is an isosceles triangle.
the distance between points a and b (length of segment ab) can be found using the distance formula (really an application of the pythagorean theorem):
the distance between points a and c (length of segment ac) can be found using the distance formula
the distance between points b and c (length of segment bc) can be found by using the distance formula (with the y-coordinate part omitted)
to show that this is a right-triangle, we can show that the pythagorean theorem holds for all the triangle lengths:
this equation holds true, therefore, " 2)the triangle is a right triangle". bc is the hypotenuse.
" 3)the triangle is an isosceles triangle" because the length of ab is equal to the length of ac, and they're not equal to the length of bc.
since this is a right triangle, ∠bac must be a right angle, thus making " 1) ab ⊥ ac" true . this can also be proved using slopes. we use the fact that slope = rise/run.
for ab, the "rise" is +1 and the run is +1 to get to the next "nice" point, therefore the slope of segment ab is +1.
for ac, we have the "rise" +1 but run -1 (in negative direction) to get to the next "nice" point. therefore, the slope of ac is -1.
slopes of ab and ac are negative reciprocals, so ab is perpendicular to ac.
for the other choices:
this is not an equilateral triangle because all the side lengths are not equal.
bc and ac are not parallel lines.