Answer:
we have (a,b,c)=(4,-2,0) and R=4 (radius)
Step-by-step explanation:
since
x²+y²+z²−8x+4y=−4
we have to complete the squares to finish with a equation of the form
(x-a)²+(y-b)²+(z-c)²=R²
that is the equation of a sphere of radius R and centre in (a,b,c)
thus
x²+y²+z²−8x+4y=−4
x²+y²+z²−8x+4y +4 = 0
x²+y²+z²−8x+4y +4 +16-16 =0
(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0
(x-4)² + (y+2)² + z² = 16
(x-4)² + (y-(-2))² + (z-0)² = 4²
thus we have a=4 , b= -2 , c= 0 and R=4
Answer:
32 units.
Step-by-step explanation:
look up a picture of a 306090 triangle, it will make sense :)
Since all the inside angles are 60, in order to add up to 180, the outside angles need to be 120.
Answer:
Step-by-step explanation:
answer:
3x - 18 = 2y
5x - 6y = 14
5x - 3*(2y) = 14
5x - 3*(3x - 18) = 14
5x - 9x + 54 = 14
-4x = -40
x = 10
3*10 - 18 = 2y
30 - 18 = 2y
12 = 2y
y = 6
