Suppose R and S are relations on ab.c.d, where R {lab).(ad) (b.).(Gc).(d.a)) and S a. Construct R2 b. Construct s2 c. Construct R S d. Construct So R.

Answers

Answer 1

The requested constructions involve relations R and S on the sets {a, b, c, d}. R consists of the ordered pairs (a, b), (a, d), (b, c), and (d, a), while S consists of the ordered pair (a, a). The constructions to be made are as follows: R2, S2, R ∪ S, and S o R.

a) R2: The relation R2 is the composition of R with itself. It consists of all pairs (x, z) such that there exists a y in {a, b, c, d} for which (x, y) is in R and (y, z) is also in R.

b) S2: The relation S2 is the composition of S with itself. Since S consists of only the pair (a, a), the composition S2 will also consist of only the pair (a, a).

c) R ∪ S: The relation R ∪ S is the union of R and S. It consists of all pairs that are either in R or in S.

d) S o R: The relation S o R is the composition of S with R. It consists of all pairs (x, z) such that there exists a y in {a, b, c, d} for which (x, y) is in R and (y, z) is in S.

The specific elements of R2, S2, R ∪ S, and S o R can be obtained by performing the respective operations on the given sets and relations

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Related Questions

Hey, guys I need help :D

Answers

Answer:

D

Step-by-step explanation:

Dilating BC to B'C' by a factor of 1/2 makes each side of the triangle halved. Originally BC is 16, so when it's halved, it becomes 8

We know when triangle are similar and are changed only by a scale factor, the angle will not change. Angle A' = 28 degrees

You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.

Answers

Answer:

90

Step-by-step explanation:

You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go

A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area

Answers

Answer:

Step-by-step explanation:

Hope this helps

click link

Answer: 5 2/6

Step-by-step explanation:

Help please will give the brainliest

Answers

Answer:

Every angle of Square = 90°

diagonal bisects the angle in half.

=> angle FGI = 45°

=> 7x+3=45

=>7x=42

therefore, x=42/7=6

Hope this helps!!! Feel free to clarify

Anyone pls help on this

Answers

(Exponential decay) hope it helps:)

3. Sadie and Josie are asked to wrie an expression equivalent to 3(2x+3y).
Sadie writes the expression 6x+9y.
Josie writes the expression 18xy.
Who is correct and why?
A. Sadie is correct because 3(2x)+3(3y)=6x+9y.
B. Sadie is correct because 3+2x+3+3y=6x+9y.
C. Josie is correct because 3 2x 3y=18xy.
I
D. Josie is correct because 3(6xy)=18xy.

Answers

The answer is A!
Sadie is correct because 3(2x+3y) equals 6x+9y

SPIRAL REVIEW - Find the value of the expression below.

96 ÷ 4² + (25×2) - 15 - 3

Answers

Answer:

38

Step-by-step explanation:

96/16  

+(25)(2)−15−3

=6+(25)(2)−15−3

=6+50−15−3

=56−15−3

=41−3

=38

The measure of angle 1 is (10x+8) and the measure of angle 3 is (12x-10)
What is the measure of angle 2 in degrees?
9

98

82

16

Answers

The answer is 82 : angle 1=98 and angle 3 as well. 180-98= 82

Answer:

The answer is C. 82 degrees!

Step-by-step explanation:

Hope this helped! Have a fantastic rest of ur day/ night! :)))

Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.

Answers

Answer:

Yes these triangles ate similar.

Step-by-step explanation:

The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.

I will mark brain list to the person who got it correct

Answers

Answer:

-6

djdhhdhdxbxvsbsbvsshhsdh

-6 hehdbnfjenend

Step-by-step explanation:

hfea ehsusbshidbd

How is a "series" different than a "sequence"?

Answers

Sequence is in order series is multiple of a collection or something like books there are series

Answer:

See below

Step-by-step explanation:

A series is the terms added together and a sequence is the list of terms.  When you add the terms of a sequence, then you have formed a series.

can someone explain how to do this

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Answer:

I recommend using GeoGebra to graph the coordinates

Step-by-step explanation:

I use that whenever someone asks if certain coordinates make a shape

Here's the link:

http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html

Kate got 2 out of the 3 questions correct on her pop quiz what is her grade

Answers

Answer:

0.6666666666etc but you have to round it to 67 because it is closer to 67

Step-by-step explanation:

Ellen Greenberg loves to make and fly kites. Ellen is planning to open a shop that
sells custom-made kites. She asks for your advice to help her set financial goals.
Ellen estimates that after expenses, she can make a $15 profit on each kite she
sells. If her annual income goal is $15,400, how many kites will she have to sell?

Answers

Answer:

She must sell 1026.66666667 kites

Step-by-step explanation:

15,400/15

The number of kites that Ellen needs to sell to complete her annual goal is 1027.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ellen can make a $15 profit on each kite she sells. Also, Ellen's annual income goal is to have $15,400. Therefore, the number of kites that Ellen needs to sell is,

Number of kites that Ellen will sell = Annual income goal/Profit on each kite

Number of kites that Ellen will sell = $15,400 / $15

                                                     = 1026.6667

Since Ellen can not sell half kites, therefore, she needs to sell 1027 kites to complete her annual income goal.

Hence, the number of kites that Ellen needs to sell to complete her annual goal is 1027.

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someone answer this please!! make sure to consider the function f(x)=3x-1

Answers

Answer:

The answers go

2

-1

-4

4

Plz plz, help I don't understand 24 points !!! Will mark brainiest for correct answers only quick!!!

Answers

the triangle is kinda square so multiply and you should get 24

Please help me giving brainliest

Answers

Answer:

90 degrees

Step-by-step explanation:

classmate is muy stupio

the non 90 degree angles are all congruent

which means each of them are 45 degrees

cuz triangle degree add up to 180

then

u use subtraction

cuz a line is 180 degrees

The equation y+6=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
o y = 1/2x-3
Oy=}x+9
yafe- ར ་
y=3x+3

Answers

in slope intercept form, this is
y=3x-33

Help me with this please!!!

Answers

this question answer is 4.25

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.

Answers

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

For the diagram shown, find the measures of angles 4,
5, and 6.
m_4 =
degrees
m25 =
degrees
m26 =
degrees

Answers

Answer:

m∠4 = 57 degrees

m∠5 = 123 degrees

m∠6 = 35 degrees

Step-by-step explanation:

''This graph shows parabola y=ax^2+bx+c. What is the possible value of a?''

Answers

I’m not 100% sure so sorry if it’s wrong but I think it’s 3/2

Please find X ASAP. You’ll find it on the picture

Answers

Answer:

51°

Step-by-step explanation:

so lets all know that the sum of a trapezoid is 360°

so lets find x

360-83-115-111=51

so your answer is 51°

Hope this helped :)

For part (a), determine whether the triangles are congruent by SSS or SAS. If not congruent, write “not congruent.” If congruent, write a congruency statement for part (b).

Answers

The congruency rules is as follows;

4)a) The triangles are congruent by SSS Congruency Postulate

b) Triangle PQR is congruent to Triangle PQS

5a) The triangles are not congruent

b) Triangle VWZ is not congruent to Triangle YXZ

6a) The triangles are congruent by SAS Congruency Postulate

b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate

7) The triangles are not congruent

b) ΔKLJ is not congruent to ΔMNL

How to Identify Congruent Triangles?

There are different congruency postulates or theorems as it pertains to congruent triangles and they are;

AAS theorem which denotes Angle-Angle-Side Theorem

HL theorem which denotes Hypotenuse-Leg Theorem

SSS Postulate which denotes Side-Side-Side Postulate

ASA postulate which denotes Angle-Side-Angle Postulate

SAS Postulate which denotes Side-Angle-Side Postulate

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.

5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.

6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.

7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.

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PLS HELPP I WILL GIVE BRAINLIEST

Answers

the answer should be b.


Evaluate -4 x (2 + -3).

Answers

Answer:

positive 4

Step-by-step explanation:

you first add the numbers in the numbers in the brackets

2+-3=-1

-4×-1=+4

Step-by-step explanation:

-4×(2+(-3) )

= -4×(2-3)

=-4×-1

= 4

Ginger the cat weighed 25lbs! The vet put Ginger on a diet and by the end of the month, Ginger weighed 20lbs. What percentage of her weight did Ginger loose? She lost of her weight.​

Answers

Answer:

20%

Step-by-step explanation:

25 divided by 5 is 5 and in fractions 1/5 is 20 therefore 20% for every 5 pounds so if you lose 5 pounds you lost 20% of her weight.

Answer:

ana totta

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a right triangle?
12, 18, 22
8. 15. 17
10. 15.20
7.9.11

Answers

Answer:

8, 15, 17

Step-by-step explanation:

The 2nd option. You know this by using this math formula: a^2 + b^2 = c^2. That is the formula to find a right triangle. So if you square 8 and 15 you get 64 and 225, and if you add them together you get 289, which is 17^2. Hope this helps! :)

4 When a ball bounces, the heights of consecutive bounces form

a geometric sequence. The height of the first bounce is

121 centimeters and the height of the third bounce is

64 centimeters. To the nearest centimeter, what is the height of the

fifth bounce?

Answers

Answer:

34 cm

Step-by-step explanation:

The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.

Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm

Then, T₃/T₁ = ar²/a = r²

r² = T₃/T₁

r² = 64 cm/121 cm

r = √64/121

r = 8/11

So, the height of our fifth bounce T₅ = ar⁵⁻¹

= ar⁴

= 121 cm × (8/11)⁴

= 121 × 4096/14641

= 4096/121 cm

= 33.9 cm

≅ 34 cm to the nearest cm

Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.

In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1r^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

The height of the first bounce is of 121 cm, hence [tex]a_1 = 121[/tex].The height of the third bounce is of 64 cm, hence [tex]a_3 = 64[/tex], and this is used to find r.

[tex]a_n = a_1r^{n-1}[/tex]

[tex]64 = 121r^{2}[/tex]

[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]

[tex]r = \frac{8}{11}[/tex]

Hence:

[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]

The height of the fifth bounce is of [tex]a_5[/tex], hence:

[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]

The height of the fifth bounce is of 33.85 cm.

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