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
kvv77 [185]
3 years ago
6

. In each part, find the standard equation of the sphere that

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Step-by-step explanation:

standard equation of sphere    , (x-a)²+ (y-b)²+( z-c)² = r² where a.b.c are the centre of the sphere r is radius and x,y,z are the coordintes of the point on the surface of the sphere

(x-7)²+( y-1)²+(z-1)²=16

x²+49-14x+y²+1-2y+z²+1-2z=16

x²+y²+z²-14x-2y-2z+35=0

(b) same as above diameter = 8 ,radius = 4 and centre is given

(c) (x-1)²+(y-3)²+(z-2)² = r²  it passes through (0,0,0)

     (0-1)²+( 0-3)²+(0-2)²=r²  ⇒ r =√14   now we have centre and radius same as above

(d) centre is mid point of the end points of diameter

(1+0/2)=x   ,(2+2/2) =y   (1+3/2) =z ⇒   (x,y,z) = (1/2,2,2)  and

radius = distance between centre and any end points of the diameter

so radius =  √(1/2-1)²+(2-2)²+(2-1)²   =   √5/2 now we can find the equation of the sphere

You might be interested in
Almeida collects data on the ages of the students in her aerobics class and creates a dot plot to represent the ages.
vazorg [7]
I believe your question is incomplete.
6 0
3 years ago
Read 2 more answers
I need all parts answered please!
Arisa [49]
Width = w
d)length in term of width
 w + 5
b)
2(w + w + 5) > 30
2(2w +5)>30

c)
solve
2(2w +5) > 30
4w + 10 > 30
4w > 20
  w > 5

5 0
3 years ago
The area of circular garden is 530.66 feet2. What is the circumference of the garden? (Use 3.14 for .)
adelina 88 [10]

Answer:

The answer to your question is Circumference = 81.64 ft

Step-by-step explanation:

Data

Area of a circle = 530.66 ft²

Circumference = ?

π = 3.14

Process

1.- Calculate the radius of the circle

Area = πr²

-Solve for r²

  r² = Area / π

-Substitution

  r² = 530.66 / 3.14

-Simplification

  r² = 169

-result

  r = 13 ft

2.- Calculate the Circumference      

Circumference = 2πr

-Substitution

Circumference = 2(3.14)(13)

-Result

Circumference = 81.64 ft

6 0
3 years ago
What is 4+7+3+8+3+7+3+9+= with a explaination.
zmey [24]

Answer:

44

Step-by-step explanation:

4+7=11

11+3=14

14+8=22

22+3=25

25+7=32

32+3=35

35+9=44

5 0
3 years ago
Read 2 more answers
sally has a piggy bank with $10 in it. She counted 68 coins of only quarters and nickles. How many nickles are in her piggy bank
UkoKoshka [18]

Answer:

n=35; q=33 coins.

Step-by-step explanation:

1) if number of nickles is 'n' and the quaters is 'q' then it is possible to write:

n+q=68 - 'she counted 68 coins...' - the 1st equation of system;

0.25q+0.05n=10 - '10$ in it' - the 2d equation of the system.

2) it is possible to make up and solve the next system of two equations:

\left \{ {{q+n=68} \atop {0.25q+0.05n=10}} \right. \ => \ \left \{ {{q=33} \atop {n=35}} \right. .

7 0
2 years ago
Other questions:
  • What is the value of mQSR?
    7·1 answer
  • What do you know to be true about the values of a and b?
    8·2 answers
  • 4x10^5 scientific notation
    6·1 answer
  • Show √7 , √5 on a number line. <br><br>please hurry up my cissy and oppa<br>​
    15·1 answer
  • Khi m=4 cho ma trận A= -3 -2m-2 2-2m
    7·2 answers
  • Jane has a bag of candy. She gives pieces to her friend. Then Jane's grandmother buys Jane 5 more pieces of candy than she had o
    13·2 answers
  • A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the neares
    13·1 answer
  • duane wants to know if the pair of triangles is similar? what criteria can he use to justify his anwser
    5·1 answer
  • 3.please help me out
    8·2 answers
  • Write the Prime factors that 24 and 36 have in common By showing them multiplied together
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!