18(x)=100×43.
18(x)=4300.
Now divide both sides by 18. The number is x=238<span>.</span>
Answer:
Point of tangency is
or ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
![x^2=2x-1](https://tex.z-dn.net/?f=x%5E2%3D2x-1)
![x^2-2x+1=0](https://tex.z-dn.net/?f=x%5E2-2x%2B1%3D0)
![(x-1)(x-1)=0](https://tex.z-dn.net/?f=%28x-1%29%28x-1%29%3D0)
![x=1](https://tex.z-dn.net/?f=x%3D1)
Therefore, the point of tangency is
or ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%
The general equation of a given circle is ![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Given a plot of the circle in the X-Y plane, The center of circle has the coordinates ( -1, -1) and the circle is passing through (-1 ,-4) and (-1 ,-2) and (-1 ,-4) , (-1 ,-2) are coordinates of diametrically opposite ends of circle
If there are two points on a circle (x₁, y₁) and (x₂, y₂) that are at opposite ends of the same diameter, then the circle's equation can be written as
(x-x₁)(x-x₂)+(y-y₁)(y-y₂)=0
Given x₁= -1 , x₂ = -1 , y₁= -4 , y₂= -2
The circle's equation can be written as ( x+1)(x+1) + (y+4)(y+2)
⇒![x^{2} +1+2x+y^{2} +6y+8=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B1%2B2x%2By%5E%7B2%7D%20%2B6y%2B8%3D0)
⇒![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Therefore,
is the general equation of circle.
Hence,The general equation of a given circle is ![x^{2} +y^{2} +2x+6y+9=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2B2x%2B6y%2B9%3D0)
Learn more about circle here:
brainly.com/question/11833983
#SPJ9
CD = 5 because they are congruent equilateral triangles