College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 7SC: Use Cramers rule to solve 2x-y+2z=6x-y+z=2x+y+2z=9.
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Find and/or verify the centroid of the common region used in engineering. . Show that the centroid of the triangle with vertices (−a, 0), (a, 0), and (b, c) is the point of intersection of the medians (see figure).
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Step 1: Finding of centroid of the triangle in the given fig
VIEWStep 2: Finding equation of the median AP
VIEWStep 3: Finding equation of the median BQ
VIEWStep 4: Finding equation of the median CR
VIEWStep 5: Intersection point of two median of equation (1) and (2) which is equal to the centroid
VIEWStep 6: Intersection point of two median of equation (1) and (3) which is equal to the centroid
VIEWStep 7: Intersection point of two median of equation (2) and (3) which is equal to the centroid
VIEWStep 8: conclusion
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