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:
D
Step-by-step explanation:
The answer is that y is equal to -3 and x is equal to 7
2x-y=17
-2(x-y)=10 )
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2x-y=17
-2x+2y=-20
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y=-3
x-y=10
x-(-3)=10
x+3=10
-3 -3
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x=7
Answer:
-x^5 - 7x^4 + x^2 + (1/8)x - 9
Step-by-step explanation:
Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:
-9+1/8x
-x^5 - 7x^4 + x^2 + (1/8)x - 9
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry