We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius
we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4
Rewrite as perfect squares
(x+1)²+(y-2²)+(z+4)²=4
(x+1)²+(y-2²)+(z+4)²=2²
the center is the point (-1,2,-4) and the radius is 2 units
So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.
5m-6
If m is equal to 7, then replace m with 7.
5(7)-6
5x7=35 so the expression is now 35-6. Solve.
35-6=29
So that was the first one.
4m+t
We just do what we do with the first problem.
4(7)+(2)
4x7=28 so the expression is 28+2.
28+2=28
---
hope it helps
p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.
Answer:
x ≈ 14.5
Step-by-step explanation:
A = x²√(25+10√5)/4
A = 1.72a²
x² = A/1.72
= 363.27/1.72
≈ 211
x = √211
≈ 14.5
Answer:
C. Males Prefer thriller movies. I'm pretty sure. I'd need the photo.
Step-by-step explanation:
If you look at the graph you'll see that 56 males like thriller while only 18 of women like it. These two data points have a difference of 38, making it the largest difference than any other category, therefore, its the strongest.
Answer:
8720 Is the answer you just have to add them.
8000+720
