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
miss Akunina [59]
4 years ago
11

Consider the ellipse 25xsquared plus 4y squared equals 1 in the​ xy-plane. a. If this ellipse is revolved about the​ x-axis, wha

t is the equation of the resulting​ ellipsoid? b. If this ellipse is revolved about the​ y-axis, what is the equation of the resulting​ ellipsoid?
Mathematics
1 answer:
BaLLatris [955]4 years ago
5 0

Answer:

  • about x: 25x² +4y² + 4z² = 1
  • about y: 25x² +4y² +25z² = 1

Step-by-step explanation:

When the figure is revolved around the x-axis, its extent in the z-direction will match its extent in the y-direction. So, the z-term will have the same coefficient as the y-term. 25x² +4y² +4z² = 1

Similarly, when the figure is revolved around the y-axis, its extent in the z-direction will match its extent in the x-direction. Then the z-term will have the same coefficient as the x-term. 25x² +4y² +25z² = 1

You might be interested in
Perform the indicated operation and simplify the result.
Finger [1]

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4        28+7a

------------------ * --------------------

9a^2 -6a+1         a^2 -16

Factor

(3a-1)(a-4)           7(4+a)

------------------ * --------------------

(3a-1) (3a-1)        (a-4)(a+4)

Cancel like terms

1                    7

------------------ * --------------------

(3a-1)                  1

Leaving

7/ (3a-1)

3 0
4 years ago
Theresa has an umbrella stand at the beach. - All of them are blue, except for six. - All of them are yellow, except for six. -
Dmitry [639]

Answer:

3 Blue Umbrellas

Step-by-step explanation:

Given

B \to Blue

Y \to Yellow

R \to Red

From the question, we have:

Y + R = 6 ---- i.e. 6 are not blue

B + R = 6 ---- i.e. 6 are not yellow

B + Y = 6 ---- i.e. 6 are not red

Required

The number of blue umbrellas

Make B the subject in: B + Y = 6

B = 6 - Y

Substitute: B = 6 - Y in B + R = 6

6 - Y + R = 6

Collect like terms

R - Y = 6 - 6

R - Y = 0

Rewrite:

R = Y

Substitute R = Y in Y + R = 6

Y + Y = 6

2Y = 6

Divide both sides by 2

Y=3

Recall that: B = 6 - Y

B = 6 - 3

B = 3

3 0
3 years ago
There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the middle level
snow_tiger [21]
U- amount of upper level tickets which cost 25$
m-amount of middle level tickets which cost 30$
b-amount of bottom level tickets which cost 35$

m+b=u and
m+b+u=49000 and
25u+30m+35b=1419500

putting u from first equation to the second
2u=49000
u=24500 - seats in upper level
m+b=24500 so m=24500-b
25*24500+30(24500-b)+35b=1419500
612500+735000-30b+35b=1419500
1347500+5b=1419500
5b=72000 /:5
b=14400
amount of seads in bottom level

8 0
4 years ago
How do you find the Constant of variation
Harman [31]
If y
y
varies directly as x
x
and y=15
y
=
15
when x=24
x
=
24
, find x
x
when y=25
y
=
25
.

Find the constant of variation.

k=yx=1524=58y=58x k=
y
x
=
15
24
=
5
8
y=
5
8
x
To find x
x
, substitute 25
25
for y
y
.

25=58xx=40
6 0
4 years ago
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
Papessa [141]
I couldn’t simplify it but i got 70/167
6 0
3 years ago
Other questions:
  • What is the value of the discriminant for the equation x^2+4x+4=0
    15·1 answer
  • What is the cosine ration ? HELP PLZ !!
    14·2 answers
  • 2x(3x-5) as a binomial expression
    7·1 answer
  • You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to o
    7·2 answers
  • Simplify the following expressions:
    7·1 answer
  • For five weeks over the summer, Neera earned weekly paychecks at her part-time job. The amount of each paycheck was $101.65, $79
    10·1 answer
  • Need help thank you very much
    6·1 answer
  • Please Please Please help (6+6)/4
    14·2 answers
  • Between which hours did the least amount of snow fall
    10·1 answer
  • Warren flipped a coin and rolled a 20-sided die. What is the probability that his coin landed on tails and his die rolled a fact
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!