Formula to convert F to C:
(F -32) x 5/9
F = 63 + 10 = 73
73-32 = 41
41 x 5/9 = 22.77777
Rounded to the nearest degree = 23 C
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
Given that Audra was drawing a perpendicular bisector of segment AB with a compass. She started with line segment AB. Then, she placed her compass point on A and opened the compass more halfway to B.
Her next step will be "Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B".
(1, -6) and (-5, 2)
Distance between 1 and -5 = 6
Distance between -6 and 2 = 8
6²+8²=x² (PYTHAGOREAN THEOREM)
36+64=x²
x² = 100
x = 10
Note: Not -10 because <em>distance cannot be negative.</em>
