(1 point) Find an equation of the largest sphere with center (5,3,5)(5,3,5) and is contained in the first octant. Be sure that y
1 answer:
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be
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Answer:
The answer is 44 cm^2
I hope it helps
Answer:
Step-by-step explanation:
These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.
We use substitution here because it is easier.
Equation 1
Equation 2
Lets take equation 1
This is our equation 3 , now put it inside equation 2.
We found the value of y , now to find the value of x insert the value of y in equation 3
Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.
Hey there,
Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).
So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)
Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).
-3
+ 7
______
4
Let's bring that "x" back, and the answer would be 4x for a while.
So far, 4x is the answer.
_____________________________________________________________
Now, Let's work on the other side.
We are talking about (<span>-10-2)
-10
- 2
_______
</span> -12
So, by solving the answer to (-10-2), we got -12.
So, let's determine what is greater . . . . .
-12 or 4.
-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.
Your correct answer would look like . . .
<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.
~Jurgen
Let's remember that a (inequality symbol) is things like (<), (>), (≤),(≥), (≠).
So, I believe that (-3x+7) and (-10-2) are separate. So we will find that out :)
Let's first do (-3x+7). As simplifying this expression here, we take that "x" of for a while and just stick to (-3+7).
-3
+ 7
______
4
Let's bring that "x" back, and the answer would be 4x for a while.
So far, 4x is the answer.
_____________________________________________________________
Now, Let's work on the other side.
We are talking about (<span>-10-2)
-10
- 2
_______
</span> -12
So, by solving the answer to (-10-2), we got -12.
So, let's determine what is greater . . . . .
-12 or 4.
-12 is on the negative side, and the number 4 is positive. This would conclude that 4 is great than -12.
Your correct answer would look like . . .
<span>(-3x+7) > (-10-2)
</span>
I really hope this helps you alot.
~Jurgen