1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ra1l [238]
1 year ago
11

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

Mathematics
1 answer:
madam [21]1 year ago
7 0

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

You might be interested in
Can someone please help I’ve been doing this for an hour
Yuki888 [10]

Answer:

WXZ and YXU

Step-by-step explanation:

All verticle angles are opposite to each other. Look at it like an X, verticle angles would be the top and bottom or the side and other side.

4 0
3 years ago
What is the length of the diameter?
olga nikolaevna [1]

is there any instructions above the circle?

4 0
3 years ago
Read 2 more answers
Pablo mixes three units white paint and one unit of black paint to make gray paint. What two equations show the relationship bet
svet-max [94.6K]
It’s b and when you put w to egbert
8 0
3 years ago
Pls answer this question
Paraphin [41]
What is the question
4 0
2 years ago
Find the next number in the sequence: "-1, 1, 4, 8, 13, ..."
Afina-wow [57]

Answer:

19

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the sum -12+-5=
    15·1 answer
  • Round 5,112 to the nearest thossand
    5·2 answers
  • Easton and Eli go to the movie theater and purchase refreshments for their friends.
    9·1 answer
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    5·2 answers
  • 8x + 4 = 3 (x-1) + 7'
    12·1 answer
  • Yalll ya gurl is struggling I need help SOS
    8·1 answer
  • Write the equation of the line Perpendicular to g (x) = 3x – 0.77, going through the point (0,-5). Show all work.​
    8·1 answer
  • Mrs. Siroj is reading a novel for her book
    6·1 answer
  • 1. 108 identical books have a mass of 30 kg. Find
    15·1 answer
  • Simplify 2ab/3cd×c²d²/ab²​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!