find the value of (3 ratio 0 +4ratio1)x2ratio 2
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Step-by-step explanation:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x1,y1) and B(x2,y2) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(m+nmx2+nx1,m+nmy2+ny1)
Let P(−1,k) divides the line segment AB joining the points A(−3,10) and B(6,−8) in the ratio m:n, then using section formula we get,
P=(m+nmx2+nx1,m+nmy2+ny1)⇒(−1,k)=(m+n(m×6)+(n×−3),m+n(m×−8)+(n×10))⇒(−1,k)
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