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:
The actual measure of ∠1 = 40°
Step-by-step explanation:
We are given: ∠1 = 2x+6 and ∠2 = 8x+4
and both angles are supplementary. we need to find the actual measure of ∠1
Supplementary angles: If the angles are supplementary their sum is equal to 180°
In our case ∠1 +∠2 = 180°
2x+6+8x+4=180
Solving the equation to find x, then we can find the actual measure of ∠1

So, value of x = 17
Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

So, the actual measure of ∠1 = 40°
You have to find 1/3 of 24, so it is 8
If allison buys 80 packs of meat for the picnic and 5 of those slices in each pack are turkey she would end up with 400 slices of turkey.