Step-by-step explanation:
The centroid divides the length of each median in 2:1 ratio.
The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.
When CD is the median, C is the vertex and D is the midpoint of AE.
CG = 2 × DG
6.5= 2(3x- 11)
6.5 = 6x -22
6x= 6.5+22
6x= 28.5
x= 28.5/6
x= 4.75
optionB
Answer:
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Step-by-step explanation:
Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Answer:
g p + g q − g r + h p + h q − h r
Step-by-step explanation:
This is the correct simplified form of ( g + h ) ( p + q − r )
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