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:
She will score 40 points in 30 minutes.
Step-by-step explanation:
30 minutes divided by 6 minutes is 5, times 8 points is 40 points.
1) 4(6j+1+8j) = 16j + 4 + 32j
2) 16j + 4 + 32j = 48j + 4
Answer:
12 teams
Step-by-step explanation:
We know that 38 players can fit into 4 groups, 8 times ...
32 divide 8 = 4
We have the number with 96, and we need to find the groups
we do the same as done with the first one...
because 32 divided by 8 is 4
we do
96 divide 8 = 12
aswell
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<em>hope this helped : )</em></u></h2>
