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
9

Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the

diameter of the sphere
Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

You might be interested in
Im really stuck on this............
Len [333]

Answer:

H is the Answer

Step-by-step explanation:

Apply distance formula.

(x {}^{2  } -  {x}^{1}  ) {}^{2}  + ( {y}^{2}  -  {y}^{1} ) {}^{2}  = d {}^{2}

where d is the distance.

( - 5 - 7) {}^{2}  + (0 - 5) {}^{2}  =

- 12 {}^{2}  +  - 5 {}^{2}  =  {d}^{2}

\sqrt{169}  =  {d}^{2}

d = 13

3 0
3 years ago
Read 2 more answers
Can I get some help :/ ?
serious [3.7K]
1.750
3.516540
4.354.2
5.3560
6.4.73
7.1277.2
8.4544
9.813000
10.0.02532
11.3160000
12.0.00335
13.26310
14. 918.7
15. 9320
16.8.42
17.45160000
18.0.005435
19.2450
20.656.9

Hope this helps!
4 0
3 years ago
THERE IS 2 QUESTIONS PLEASE HELP ME!
lukranit [14]

Answer:

Number 2 is 3:4.

Number 1 is d.

Step-by-step explanation:

Boxers and collies added together gives you 12:16. Divide them both by 4 and you get 3:4.

<

The number of student in class 4 (6) divided by the total number of kids in the entire class (18) gives you 0.33333333333. Multiply that by 100 and it gives you 33.3333333333. As a percentage it is 33 1/2 %

6 0
2 years ago
Can you help me solve? Question is on top left
galina1969 [7]

Answer:

See below ~

Step-by-step explanation:

⇒ 65 = 65 + y (alternate exterior angles)

⇒ y = 0

⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)

⇒ 48x + 4 = 100 - 0

⇒ 48x = 96

⇒ x = 2

⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")

⇒ 21z + 18 + 25z + 5 = 115

⇒ 46z + 23 = 115

⇒ 46z = 92

⇒ z = 2

3 0
2 years ago
Read 2 more answers
You rearrange your bedroom. Tell whether each move is an example of
mash [69]

Answer:

translation,reflection,

Step-by-step explanation:

because you move thing in different direction

4 0
3 years ago
Other questions:
  • Help me please asap​
    9·1 answer
  • Use this table to construct the function that it represents.
    10·1 answer
  • Please help me find the unit rate of 1/2/3 1 over 2 over 3
    15·1 answer
  • Which of the following is a nonlinear function?
    8·1 answer
  • You are laying a concrete border around a circular pond ...The pond is 7 meters in diameter and is surrounded by a path 2 metres
    10·1 answer
  • Evaluate the expresion for x=6. -2x + 1/3(x2 + 6) - 36/6
    8·2 answers
  • Convert -140 degrees to radians
    15·1 answer
  • In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change
    14·1 answer
  • What is the least common multiple of 7 and 10?
    11·1 answer
  • 45+40+45=55+60+90+30+55+35+60+45+75
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!