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1. point q: (3.6, 1.4)

   step-by-step explanation:

   when you need to find a point between 2 points, you can work with "x" and with "y" separately:

   point a: (2, -1)

   point c: (4, 2)

   distance in x: (4-2) = 2

   distance in y: ()) = 3

   the point q partitions the segment in 4: 1, from that you can divide the segment in 5 parts.

   each part in x = 2/5 = 0.4

   each part in y = 3/5 = 0.6

   i will assume that the 4 parts are from a to q (because it isnt specified in the problem)

   q: point a + 4 parts:

   point q: (2, -1) +(0.4*4, 0.6*4) = (3.6, 1,4)

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2. Q=(3.6,1.4)

   Step By Step:

   A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio.

   A=(x_1,y_1)=(2,-1)

   B=(x_2,y_2)=(4,2)

   m:n = 4:1

   Let (x,y) be the coordinates of Q

   Section formula : x=mx_2+nx_1/m+n, y=my_2+ny_1/m+n

   Substitute the values in the formula:

   x=4(4)+2/4+1, y=4(2)-1/4+1

   x=18/5,y=7/5

   x=3.6, y=1.4

   Hence Q=(3.6,1.4)

   Please mark brainliest!

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3. Q = (2, 7/5)

   Step-by-step explanation:

   Please see attached image for step-by-step explanation

   [tex]A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio.[/tex]

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4. Q = (18/5, 7/5)

   Step-by-step explanation:

   Given:

   A(2, -1)

   C(4, 2 )

   a:b = 4:1

   If  Q(Xq, Yq) divides a line segment from A(X1, Y1) to C(X2, Y2) in the ratio of a:b then

   Xq = X1 + ( a / (a + b) ) * (X2 - X1)

   Yq = Y1 + ( a / (a + b) ) * (Y2 - Y1)

   Xq = 2 + (4 / (4+1)) * (4 - 2) = 18/5

   Yq = -1 + (4 / (4+1)) * (2 - (-1)) = 7/5

   therefore Q = (18/5, 7/5)

   Hope it helps and have fun in maths 🙂

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5. ( 3 3/5 , 1 2/5)

   Step-by-step explanation:

   Q is 4/5 of the distance from A to C

   The x distance  between A and C is 4-2 = 2

   We want 4/5 of that 4/5 (2) = 8/5

   Add that to 2

   2 + 8/5 = 10/5 + 8/5 = 18/5 = 3 3/5

   The y distance  between A and C is 2 --1 = 3

   We want 4/5 of that 4/5 (3) = 12/5

   Add that to -1

   -1 + 12/5 = -5/5 + 12/5 =7/5 =1 2/5

   The distance 4/5 of the way from A to C is ( 3 3/5 , 1 2/5)

   Reply