Consider the system given below.
1 answer:
Answer:
A The solution is a point in the coordinate plane.
Step-by-step explanation:
The slope of each of these lines is the coefficient of x. The slopes are different, so the lines must intersect in one point. That point is not on either of the x- or y-axes.
The solution set is a point in the coordinate plane.
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Since these are equations, the solution set is not a region. It would be a region if these were inequalities.
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Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
Therefore, the value of PN is 6 when QN=9.