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
vredina [299]
2 years ago
12

A function, f, is defined by the set {(2,3), (4,7),(-1,5)}.

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

Answer:

{(3,2), (7,4),(5,-1)}.

Step-by-step explanation:

To find the points reflected through y=x, you are really being asked to find the inverse relation. That means we are just swapping x and y per point; like (a,b) to (b,a).

So (2,3) when reflected through y=x becomes (3,2).

(4,7) when reflected through y=x becomes (7,4).

(-1,5) when reflected through y=x becomes (5,-1).

So the inverse relation is:

{(3,2), (7,4),(5,-1)}.

You might be interested in
Please look at the picture, I need help ASAP.
forsale [732]

See below for the proof that the areas of the lune and the isosceles triangle are equal

<h3>How to prove the areas?</h3>

The area of the isosceles triangle is:

A_1 = \frac 12r^2\sin(\theta)

Where r represents the radius.

From the figure, we have:

\theta = 90

So, the equation becomes

A_1 = \frac 12r^2\sin(90)

Evaluate

A_1 = \frac 12r^2

Next, we calculate the length (L) of the chord as follows:

\sin(45) = \frac{\frac 12L}{r}

Multiply both sides by r

r\sin(45) = \frac 12L

Multiply by 2

L = 2r\sin(45)

This gives

L = 2r\times \frac{\sqrt 2}{2}

L = r\sqrt 2

The area of the semicircle is then calculated as:

A_2 = \frac 12 \pi (\frac{L}{2})^2

This gives

A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2

Evaluate the square

A_2 = \frac 12 \pi (\frac{2r^2}{4})

Divide

A_2 = \frac{\pi r^2}{4}

Next, calculate the area of the chord using

A_3 = \frac 12r^2(\theta - \sin(\theta))

Recall that:

\theta = 90

Convert to radians

\theta = \frac{\pi}{2}

So, we have:

A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))

This gives

A_3 = \frac 12r^2(\frac{\pi}{2} - 1)

The area of the lune is then calculated as:

A = A_2 - A_3

This gives

A = \frac{\pi r^2}{4} -  \frac 12r^2(\frac{\pi}{2} - 1)

Expand

A = \frac{\pi r^2}{4} -  \frac{\pi r^2}{4} + \frac 12r^2

Evaluate the difference

A =  \frac 12r^2

Recall that the area of the isosceles triangle is

A_1 = \frac 12r^2

By comparison, we have:

A = A_1 = \frac 12r^2

This means that the areas of the lune and the isosceles triangle are equal

Read more about areas at:

brainly.com/question/27683633

#SPJ1

5 0
1 year ago
A border collie is on sale at a 20% discount. If it normally sells for $475.00, what is the sale price?
tatyana61 [14]
What you have to do is multiply 475.00 by .20. Then from there yousubtract 475-(475*.20). From there you will get the answer.
8 0
3 years ago
Jonathan deposited $10,000 into a new savings account with a simple interest rate of 3.8%. If account has earned $2,470 in inter
vichka [17]

Answer:

6.5 years

Step-by-step explanation:

the amount depositited times percent diveded by the intrest is the years

5 0
3 years ago
Fiind the value of x between 0 and 360 <br>for question 5sin 2x=7cos2x​
Degger [83]

Answer:

x=pi*n/2+1/2arctan(7/5)

Step-by-step explanation:

5sin(2x)=7cos(2x)

5tan(2x)=7/5

2x=pi*n+arctan(7/5)

x=pi*n/2+1/2arctan(7/5) for n e Z

6 0
3 years ago
0.5 ft<br> 0.4 ft<br> 0.8 ft<br> Area of base =
beks73 [17]

Answer:

it may can be 0.16 ft

Step-by-step explanation:

0.5 x 0.4 = 0.2

0.8 x 0.2 = 0.16

7 0
2 years ago
Read 2 more answers
Other questions:
  • If they purchase one computer and five games how much do they spend before sales tax
    12·1 answer
  • State the degree of the polynomial xy+3x2-7+x
    9·2 answers
  • 4x + 4 = 20 x = ? can you help me
    15·1 answer
  • The figure shows a carpeted room. How many square feet of the room are carpeted?
    13·2 answers
  • Doctor Jon sees 6 patients in 1 1⁄2 hours. Doctor Carol sees 10 patients in 2 hours. Which doctor sees more patients per hour?
    6·1 answer
  • What value of x is in the solution set of 2(3x-1) 24x 6? a-10 b-5 c-3 d 1​
    12·1 answer
  • Find x.<br><br> Answer choices <br> 7<br> 7√2<br> √14
    11·1 answer
  • The completely factored form of 2d4 + 6d3 − 18d2 − 54d is
    14·1 answer
  • 9. Find the value of b so that the slope of the line passing through the points A(5, - 8) and B(- 1, b) is -2
    5·1 answer
  • There are 90 Owls at the zoo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!