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
kherson [118]
2 years ago
11

HELP ME PLSSSS I BEG UUUU

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0
1 and 3 would be correct
You might be interested in
Consider the equation and the relation “(x, y) R (0, 2)”, where R is read as “has distance 1 of”. For example, “(0, 3) R (0, 2)”
Leviafan [203]

Answer:

The equation determine a relation between x and y

x = ± \sqrt{1-(y-2)^{2}}

y = ± \sqrt{1-x^{2}}+2

The domain is 1 ≤ y ≤ 3

The domain is -1 ≤ x ≤ 1

The graphs of these two function are half circle with center (0 , 2)

All of the points on the circle that have distance 1 from point (0 , 2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation x² + (y - 2)² and the relation "(x , y) R (0, 2)", where

 R is read as "has distance 1 of"

- This relation can also be read as “the point (x, y) is on the circle

 of radius 1 with center (0, 2)”

- “(x, y) satisfies this equation , if and only if, (x, y) R (0, 2)”

* <em>Lets solve the problem</em>

- The equation of a circle of center (h , k) and radius r is

  (x - h)² + (y - k)² = r²

∵ The center of the circle is (0 , 2)

∴ h = 0 and k = 2

∵ The radius is 1

∴ r = 1

∴ The equation is ⇒  (x - 0)² + (y - 2)² = 1²

∴ The equation is ⇒ x² + (y - 2)² = 1

∵ A circle represents the graph of a relation

∴ The equation determine a relation between x and y

* Lets prove that x=g(y)

- To do that find x in terms of y by separate x in side and all other

  in the other side

∵ x² + (y - 2)² = 1

- Subtract (y - 2)² from both sides

∴ x² = 1 - (y - 2)²

- Take square root for both sides

∴ x = ± \sqrt{1-(y-2)^{2}}

∴ x = g(y)

* Lets prove that y=h(x)

- To do that find y in terms of x by separate y in side and all other

  in the other side

∵ x² + (y - 2)² = 1

- Subtract x² from both sides

∴ (y - 2)² = 1 - x²

- Take square root for both sides

∴ y - 2 = ± \sqrt{1-x^{2}}

- Add 2 for both sides

∴ y = ± \sqrt{1-x^{2}}+2

∴ y = h(x)

- In the function x = ± \sqrt{1-(y-2)^{2}}

∵ \sqrt{1-(y-2)^{2}} ≥ 0

∴ 1 - (y - 2)² ≥ 0

- Add (y - 2)² to both sides

∴ 1 ≥ (y - 2)²

- Take √ for both sides

∴ 1 ≥ y - 2 ≥ -1

- Add 2 for both sides

∴ 3 ≥ y ≥ 1

∴ The domain is 1 ≤ y ≤ 3

- In the function y = ± \sqrt{1-x^{2}}+2

∵ \sqrt{1-x^{2}} ≥ 0

∴ 1 - x² ≥ 0

- Add x² for both sides

∴ 1 ≥ x²

- Take √ for both sides

∴ 1 ≥ x ≥ -1

∴ The domain is -1 ≤ x ≤ 1

* The graphs of these two function are half circle with center (0 , 2)

* All of the points on the circle that have distance 1 from point (0 , 2)

8 0
3 years ago
Which measure of center would you use to describe a data set with no extreme values and no big gaps?
xxTIMURxx [149]

Answer:

The median

Step-by-step explanation:

The median always exists. The median does not have to be one of the data

3 0
3 years ago
Read 2 more answers
for y=x^2-10 do the following . A) Sketch a graph of the equation. B) Identify the vertex. C)Compare the graph of y=f(x) to the
Andreas93 [3]
A ) A graph of the equation is in the attachment.
B ) The vertex ( 0, -10 )
C ) The graph of y = x² is translated for 10 units down.
Download docx
8 0
2 years ago
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
den301095 [7]

Answer:  

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

(x,y)\rightarrow (kx,ky)

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

(1,2)\rightarrow (2\times 1, 2\times 2)

(3,2)\rightarrow (2\times 3, 2\times 2)

(1,-1)\rightarrow (2\times 1, 2\times -1)

(3,-1)\rightarrow (2\times 3, 2\times -1)

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)




3 0
3 years ago
Read 2 more answers
Please help me ASAP!!!​
dalvyx [7]

Answer:

8

Step-by-step explanation:

8 - 11 = -3 :)

7 0
2 years ago
Other questions:
  • I don’t understand what to solve.
    13·1 answer
  • Evaluate the expression when x = 8 and y = 1.
    12·2 answers
  • Please answer the question from the attachment.
    14·1 answer
  • A researcher wants to run a 2 x 3 mixed factorial design. The first factor is the within-subjects. The second factor is the betw
    10·1 answer
  • PLS HELP 100 POINTS
    8·1 answer
  • Fill in each box below with an integer or a reduced fraction.
    10·1 answer
  • Hey pplz who else goes to TOPS :):):)
    8·2 answers
  • I'm d u m b so I can't figure this out lol
    6·2 answers
  • Please help ASAP I need this turned in! I don’t understand it!
    9·1 answer
  • You and your 8 friends decide to draw straws for a prize. There are 8 long straws and 1 short straw. Describe how the theoretica
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!