It will cast an 11.25 foot shadow.
4 is the least the amount of sides the polygon can have
I think those are coordinates of points, (-5,8) and (-2,8)
so you just need to use distance formula ((8-8)^2+(-2+5)^2)=0+9=9
square root 9=3
Y-y1=m(x-x1)
y-5=10(x-1)
Y-5=10x-10
Y=10x-5
Answer:
![x^2 + 10x + y^2 -4y + -7 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2010x%20%2B%20y%5E2%20-4y%20%2B%20-7%20%3D%200)
Step-by-step explanation:
For any circle point with coordinate of center (a,b) and radius r
equation of circle is given by
![(x-a)^2 + (y-b)^2 = r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%20%2B%20%28y-b%29%5E2%20%3D%20r%5E2)
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Given
coordinate of center = (-5,2)
radius = 6
thus, equation of circle can be written by substituting a and b with (-5 ,2) and r =6 as shown below
![(x-a)^2 + (y-b)^2 = r^2\\(x-(-5))^2 + (y-2)^2 = 6^2\\x^2 + 10x + 25 + y^2 -4y + 4 = 36\\=>x^2 + 10x + y^2 -4y + 29 = 36\\=>x^2 + 10x + y^2 -4y + 29 -36 = 36 -36\\=>x^2 + 10x + y^2 -4y + -7 = 0](https://tex.z-dn.net/?f=%28x-a%29%5E2%20%2B%20%28y-b%29%5E2%20%3D%20r%5E2%5C%5C%28x-%28-5%29%29%5E2%20%2B%20%28y-2%29%5E2%20%3D%206%5E2%5C%5Cx%5E2%20%2B%2010x%20%2B%2025%20%2B%20y%5E2%20-4y%20%2B%204%20%3D%2036%5C%5C%3D%3Ex%5E2%20%2B%2010x%20%2B%20y%5E2%20-4y%20%2B%2029%20%3D%2036%5C%5C%3D%3Ex%5E2%20%2B%2010x%20%2B%20y%5E2%20-4y%20%2B%2029%20-36%20%3D%2036%20-36%5C%5C%3D%3Ex%5E2%20%2B%2010x%20%2B%20y%5E2%20-4y%20%2B%20-7%20%3D%200)
Thus, equation of circle is ![x^2 + 10x + y^2 -4y + -7 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%2010x%20%2B%20y%5E2%20-4y%20%2B%20-7%20%3D%200)