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:
0.32
Step-by-step explanation:
0.2 to the fifth power is 0.00032, so that simplified is 0.32.
The scale factor would be 3.5
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, 9)
m = 
= 
= 1 → A
Answer:
r=3
Step-by-step explanation:
- The equation of a circumference is
. - Then , in this case
, and then to know the value of r we just simply have to calculate the square root of 9, which is 3.
