The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
Answer:
175 adults
360 senior citizens
Step-by-step explanation:
Let x be the number of senior citizens
There were a total of 535 people, so
(535-x)=total number of adults
Total receipts=$8,355
Adult payments+Senior payments=$8,355
21(535-x)+13x=$8,355
$11,235-21x+13x=$8,355
$11,235-8x=$8,355
-8x=$-2,880
x=360 senior citizens
Number of adults=535-360=175 adults
To check, just substitute...
21(175)+13(360)
3,675+4,680
Which equals.....
$8,355
V= area of the base • height
V= pi• radius^2 •height
V= (3.14• 5^2) • 3
(3.14•25)•3
=235.5 units cubed
<span> f (x)= 10-x³.
f(2) means the value of the function when x=2.
So, we need to substitute 2 instead of x.
f(2) = 10 - 2³ = 10-8 =2
f(2) = 2
</span>
30a^2b^4 GCF = 2
24ab^3 GCF = 3
