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Domain X axis Range Y axis
If a line segment is partitioned having ending points (1,4),(7,1) in the ratio of 3:1 then the coordinates will be (25/4,7/4)
Given Ending points (1,4), (7,1) and the ratio 3:1 in which the line segment is divided.
If we are given the ratio m:n and the ending points of the line segment then the coordinates of the point dividing the segment will be (mx2+nx1/m+n,my2+ny1/m+n)
Putting the values of m=3 n=1 x1=1 y1=4 x2=7 and y2=1 we get
Coordinates (x,y)=(3*7+1*1/3+1,3*1+1*4/3+1)
=(21+1/4,3+4/4)
=(22/4,7/4)
Hence the point which is dividing the line segment having ending points (1,4) and (7,1) in the ratio 3:4 is (22/4,7/4).
Learn more about ratio here brainly.com/question/2328454
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Answer:
a) x(x-2)
b) 6x(2x+2)
dont know c and d sorry
Step-by-step explanation:
Answer:
<em>V = 65.9 cubic millimeters</em>
Step-by-step explanation:
<u>The Volume of a Right Circular Cone</u>
Given a right circular cone of radius r and height h, its volume is calculated as follows:
![\displaystyle V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
The cone shown in the image has a radius of r=3 mm and a height of h=7 mm, thus the volume is:
![\displaystyle V=\frac{1}{3}\pi\cdot 3^2\cdot 7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Ccdot%203%5E2%5Ccdot%207)
Taking pi as 3.14:
![\displaystyle V=\frac{1}{3}3.14\cdot 3^2\cdot 7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D3.14%5Ccdot%203%5E2%5Ccdot%207)
Calculating:
V = 65.9 cubic millimeters
3.59
Or 3.593
Or 3.6
It matters what spot u want it reduced to