Answer:
C. Centroid
Step-by-step explanation:
The circumcenter is the center of a triangle's circumcircle (circumscribed circle over triangle). It can be found as the intersection of the perpendicular bisectors.
The incenter is the center of the incircle (inscribed circle into a triangle) of a triangle. The incenter can be constructed as the intersection of angle bisectors.
Centroid is the point where the three medians of the triangle intersect.
The intersection of the three altitudes of a triangle is called the orthocenter.
Since three medians intersect at point which divides each median into 2:1 ratio, the answer is centroid.
For the first part, the results get quite crazy. I hardly believe that you're supposed to do this by hand, so I'm afraid that there's some typo in the question.
As for the second part, we have
Plug your value for x and you have
We can rewrite the quantity as
It's the last answer: the slope is 3 and y intercept = 3/2
Answer:
x = 36/5
Step-by-step explanation:
Subtract 6 from both sides
x/3+6-2x-6 = -6-6
Simplify
x/3 - 2x = -12
Multiply both sides by 3
x/3 * 3 - 2x * 3 = -12 * 3
Simplify
-5x = -36
Divide both sides by -5
-5x/-5 = -36/-5
Simplify
x = 36/5