Verify associative property of addition, if a =5/3, b =-1/2and c =-2/5?
Answers
Answer:
The length of the median is units. The centroid is .
Step-by-step explanation:
The vertices of the triangle are A(5,-1), B(-3,-2) and C(-1,8).
It is given that a median through A. Median divides the opposite side in two equal parts. It means the median divides BC at its midpoint.
The length of median is
Therefore the length of the median is units.
The formula of centroid is
Therefore the centroid is .
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Answer:
Given numbers are -10/11 , 5/6 and 4/3
To Verify the associative property for addition and multiplication of the rational numbers.
Associative Property for addition of the rational numbers is as follows
( a + b ) + c = a + ( b + c )
Associative Property for multiplication of the rational numbers is as follows
( a × b ) × c = a × ( b × c )
let a = -10/11 , b = 5/6 and c = 4/3
So, First Associative property of addition:
LHS = ( a + b ) + c = ( -10/11 + 5/6 ) + 4/3
RHS = a + ( b + c ) = -10/11 + ( 5/6 + 4/3 )
LHS = RHS
Hence Verified
Second, Associative property of multiplication:
LHS = ( a × b ) × c = ( -10/11 × 5/6 ) × 4/3
RHS = a × ( b × c ) = -10/11 × ( 5/6 × 4/3 )
LHS = RHS
Hence Verified
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