Answer:
m= masters degree salary and b=bachelors degree salary.
m = 2b - 45000
m + b = 112000
Substitute to get
2b - 45000 + b = 112000
3b = 156000
b = 52000
So m = 59000
Check to see if these numbers work
59000 = 2*52000 - 45000 true
59000 + 52000 = 112000 true
Step-by-step explanation:
The equation of a sphere is:
(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2
where h, k and l are the coordinates of the center of the
sphere
Using the midpoint formula, the coordinate of the center
is:
h = (-4 + 6) / 2 = 1
k = (7 + -5) / 2 = 1
l = (6 + 7) / 2 = 6.5
so the equation becomes:
(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2
we plug in any point, in this case point P to solve for r:
(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2
r^2 = 61.25
So the full equation is:
<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>
Answer:
56.52mm
Step-by-step explanation:
