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
olya-2409 [2.1K]
3 years ago
10

Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center

at the midpoint of PQ. ?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

You might be interested in
(-6) to the power of 2 times (-6) to the power of 5
vaieri [72.5K]

Answer:

279936


Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the value of x?<br> A. 13 <br> B. 17<br> C. 119<br> D. 169
Marianna [84]

Answer:

13

Step-by-step explanation:

x² = 5²+12²

x² = 25+144

x² = 169

x² = 13²

x = 13

3 0
3 years ago
Alice invests $8000 in two certificates of deposit; the interest on the first certificate is 2%, and the interest on the second
Nataliya [291]
1. 8000-x (You invest x in the first, then you have 8000-x more to make up for)
2. 0.02x (Interest * how much you invested)
3. 0.03(8000-x) (Interest * how much you invested)
4. 0.02x+240-0.03x
=240-0.01x
7 0
3 years ago
Whoever gets this correct first gets brainlest!!
nika2105 [10]

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

4 0
3 years ago
Am I correct? If not please explain why!
Kipish [7]

yes, you are correct. every input corresponds to only one output

6 0
3 years ago
Other questions:
  • How to find the volume
    13·2 answers
  • What is the reciprocal of 3 3/7
    8·2 answers
  • A community bike ride offers a short 5.7 mile ride for children and families the short ride is followed by a long ride 52 over t
    9·1 answer
  • During his presidency from 1969 to 1974, Richard Nixon vetoed 43 congressional bills. Out of those vetoes, 7 were
    14·1 answer
  • HELP IM BEING TIMED!!
    8·2 answers
  • What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D" id="TexFormula1" title="\frac{d}{dx}" alt="\frac{d}{dx}" align
    7·1 answer
  • Which value is the solution of the equation 8.25r = 554.4?
    8·2 answers
  • Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the
    14·1 answer
  • Phillip has a bag of 10 marbles. The bag contains 6 yellow marbles, 2 purple marbles, and two orange marble. What is the probabi
    10·1 answer
  • What is the total area of the figure? NO LINKS ONLY ANSWERS
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!