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:
Step-by-step explanation:
Divide both sides by 2 to get just m
You can't divide a fraction by a number so you do kcf (keep it, change it, flip it)
4 because that is what's multiplied throughout
Answer: We are supped to solve for y so it will be division because that's the inverse for x. so: x/4 is your answer.
Answer:
A
Step-by-step explanation:
account balance on compound interest = principal amount (1+rate/100)^time
here there are t years so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t
now total balance = 3545(1.045)^3t
here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A
