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
harina [27]
3 years ago
14

Write inequalities to describe the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin

Mathematics
2 answers:
Serggg [28]3 years ago
8 0
The equation of the sphere centered at 0, and radius 4 is:

\displaystyle{ x^2+y^2+z^2=4^2, 

note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.

The solid sphere, that is the points on the surface and all points in the inside, are given by :

\displaystyle{ x^2+y^2+z^2 \leq 4^2


since we want the left part of the solid part, picture 2, we add the condition x<0,


thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

i) \displaystyle{ x^2+y^2+z^2 \leq 4^2
ii)x\ \textless \ 0

Zinaida [17]3 years ago
8 0
Wrong question, sorry.

You might be interested in
Expand logarithms equation
Bess [88]

Answer:

log_2(x) + log_2(y) + log_2(z)

Step-by-step explanation:

5log_2(xyz)^{1/5}\\\\5log_2(x)^{1/5} + 5log_2(y)^{1/5} + 5log_2(z)^{1/5}\\\\log_2(x) + log_2(y) + log_2(z)

4 0
3 years ago
In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?
exis [7]

Answer:  B) -48

Step-by-step explanation:

If the system of two linear equations a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2 has infinitely many solutions , then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k

For the given system of linear equations : rx-sy=26\\4x+3y=13

We , will have

\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6

The value of rs=(8)\times-6=-48

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0
3 years ago
F(x)=2x+1/x-1 then f^-1(1)​
olasank [31]

Answer:

  • f⁻¹(x) = (x + 1) / (x - 2)
  • f⁻¹(1 ) = - 2

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = (2x + 1) / (x - 1)

<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>

  • x = (2y + 1) / (y - 1)
  • x(y - 1) = 2y + 1
  • xy - x = 2y + 1
  • xy - 2y = x + 1
  • y(x - 2) = x + 1
  • y = (x + 1) / (x - 2)

<u>Substitute y with f⁻¹(x):</u>

  • f⁻¹(x) = (x + 1) / (x - 2)

<u>Find  f⁻¹(1 ):</u>

  • f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
6 0
2 years ago
Been here for hours please help me
mezya [45]

Answer:

free points

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE
Monica [59]

Answer:

m∠ABD = 132 °

Step-by-step explanation:

m∠ABE = m∠DBE

and

m∠ABD = m∠ABE + m∠DBE

Because m∠ABE = 66°, therefore m∠DBE = 66°, so that

m∠ABD = 66° + 66° = 132°

4 0
3 years ago
Other questions:
  • Complete the proof of the identity by choosing the rule that justifies each step of
    8·2 answers
  • If x^2y^3=10 and x^3y^2=8, what is the value of x^5y^5
    14·1 answer
  • Based only on the giving information , it is garunteed that side AB and side CD
    9·1 answer
  • Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20%
    9·2 answers
  • Write a sentence to compare the two points shown on the number line<br><br> -2.7 and 4.5
    9·1 answer
  • Is 2(x + 12) -2x = 3(x-2)
    15·1 answer
  • For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned
    5·2 answers
  • A turtle resides in the ocean water and on land. When underwater, the turtle reaches a depth of 3,000 feet below sea level. When
    9·2 answers
  • Please help me identify the terms and like terms
    15·2 answers
  • HELP!! PLSS!! ON A TIMER!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!