100 POINTS // ASAP A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. You must show all work to receive credit.
100 POINTS // ASAP A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. You must show all work to receive credit.
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)
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!
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]
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 🙂
( 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)