C. 3w + 8 - w = 4w - 2(w - 4)
(3w - w) + 8 = 4w - 2w -2(-4)
2w + 8 = 2w + 8
Answer:
2 : 1
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
AC : DF = 8 : 4 = 2 : 1
Answer:
r = sqrt( 3V/( pih))
Step-by-step explanation:
V = 1/3 pi r^2 h
Solving for r
Multiply each side by 3
3V = pi r^2h
Divide each side by pi h
3V/( pi h) = r^2
Take the square root of each side
sqrt( 3V/ (pi h) )= sqrt( r^2)
sqrt( 3V/ (pi h)) = r
Answer:
![x^2 + ( y + 4)^2 = 52](https://tex.z-dn.net/?f=x%5E2%20%2B%20%28%20y%20%2B%204%29%5E2%20%3D%2052)
Step-by-step explanation:
Equation of circle with center (a , b) and radius, r is :
![(x -a)^2 + ( y -b)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-a%29%5E2%20%2B%20%28%20y%20-b%29%5E2%20%3D%20r%5E2)
Given : a = 0 , b = - 4
Step 1 : Find the radius.
Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.
![r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%28%200%20-%206%29%5E2%20%2B%20%28%20-4%20-%200%29%5E2%7D%20%5C%5C%5C%5C)
![= \sqrt{ 36 + 16 } \\\\= \sqrt{52}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%2036%20%2B%2016%20%7D%20%5C%5C%5C%5C%3D%20%5Csqrt%7B52%7D)
Step 2 : Equation of circle.
![(x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52](https://tex.z-dn.net/?f=%28x%20-%200%29%5E2%20%2B%20%28y%20-%28%20-%204%29%29%5E2%20%3D%20%28%5Csqrt%7B52%7D%29%5E2%5C%5C%5C%5Cx%5E2%20%2B%20%28%20y%2B%204%29%5E2%20%3D%2052)