Let's go:
The centroid of a triangle is the point of intersection of its medians. The distance from de centroid to some vertex of triangle to which it belongs is equal to 2/3 of the length of its median:
BM = 18/3 = 6
I hope I helped you.
Answer:
True
True
False
Step-by-step explanation:
TRUE
If the equation Ax = 0 has only the trivial solution, then A is row equivalent to the n × n identity matrix
Here's why
If the equation Ax = 0 has only the trivial solution the determinant of the matrix is NOT 0 and the matrix is invertible therefore it is row equivalent to the nxn identity matrix.
TRUE
If the columns of A span ℝ^n , then the columns are linearly independent
Here's why
Remember that the rank nullity theorem states that

According to the information given we know that

Therefore you have

and

Which is equivalent to the problem we just solved.
FALSE
If A is an n × n matrix, then the equation Ax = b has at least one solution for each b in ℝ^n
Here's why
Take b as a non null vector and A=0, then Ax = 0 and Ax=b will have no solution.
Hello there!
The point (2,-3) would lay in quadrant IV, or 4.
Basically:
Points that are (x, y) or positive x and positive y ay in quadrant 1, or I.
Points that are (-x, y) or negative x and positive y lay in quadrant 2, or II.
Points that are (-x, -y) or negative x and negative y usually lay in quadrant 3, or III.
Points that are (x, -y) or positive x and negative y usually lay in quadrant 4, or IV.
I hope this was helpful! Have a great rest of your day :)
Not sure but i think is -4.666..
We're literally just comparing 200 to 800 here.
800 is 4× bigger than 200, of course.
To put that in a percent...
Well, 1 = 100%. (it's a whole)
So 4 = 400%