The answer is (24, 24).
Solution:
To find the point M that divides segment AB into 2:3 or 2/3 ratio, we determine k by writing the numerator of the ratio over the sum of the terms in the given ratio. Then, we calculate for the coordinates of point M from the slope of the line segment and the coordinates of A = (x1, y1) = (0, 0) and B = (x2, y2) = (60, 60) using the equation
(x, y) = (x1 + k(x2 - x1), y1 + k(y2 - y1) )
Therefore,
M = (x, y) = (0 + (2/5)(60 - 0), 0 + (2/5)(60 - 0)) = (24, 24)
Looks like the equation is
![yy'+x=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=yy%27%2Bx%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
Substitute
, so that
. Then the equation is the same as
![\dfrac{u'-2x}2+x=\sqrt u\implies u'=2\sqrt u\implies\dfrac{\mathrm du}{2\sqrt u}=\mathrm dx](https://tex.z-dn.net/?f=%5Cdfrac%7Bu%27-2x%7D2%2Bx%3D%5Csqrt%20u%5Cimplies%20u%27%3D2%5Csqrt%20u%5Cimplies%5Cdfrac%7B%5Cmathrm%20du%7D%7B2%5Csqrt%20u%7D%3D%5Cmathrm%20dx)
Integrate both sides to get
![\sqrt u=C\implies\sqrt{x^2+y^2}=C](https://tex.z-dn.net/?f=%5Csqrt%20u%3DC%5Cimplies%5Csqrt%7Bx%5E2%2By%5E2%7D%3DC)
Given that
, we have
![\sqrt{1^2+(\sqrt8)^2}=C\implies C=3](https://tex.z-dn.net/?f=%5Csqrt%7B1%5E2%2B%28%5Csqrt8%29%5E2%7D%3DC%5Cimplies%20C%3D3)
so the solution is
![\sqrt{x^2+y^2}=3](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D%3D3)
Answer:
20x + 8
Step-by-step explanation:
5*4x + 5*5 -17
20x +25 -17
20x + 8
Since 12% of them are damaged, that means the percentage of them that aren't 88%.
The easiest way to do it is to divide 88 from 1,144, written as 1,144<span>÷88.
That's 13. So, then you would multiply 13 by 100. To get the total amount of onions. That'd be 1,300.</span>