Let R be a relation on the set of all lines in a plane defined by (l 1 , l 2 ) R line l 1 is parallel to l 2 . Show that R is an equivalence relation.

Answer:

The friend's answer is incorrect.

The correct answer is:

[tex] \dfrac{3(x - 1)}{x + 2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 - 1}{x^2 - 4x - 5} \div \dfrac{2x^2 + 4x}{6x^2 - 30x} = [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] = \dfrac{x^2 - 1}{x^2 - 4x - 5} \times \dfrac{6x^2 - 30x}{2x^2 + 4x} [/tex]

Multiply the numerators together. Multiply the denominators together.

[tex] = \dfrac{(x^2 - 1)(6x^2 - 30x)}{(x^2 - 4x - 5)(2x^2 + 4x)} [/tex]

Factor every polynomial.

[tex] = \dfrac{(x - 1)(x + 1)(6x)(x - 5)}{(x - 5)(x + 1)(2x)(x + 2)} [/tex]

Divide the numerator and denominator by the common terms.

[tex] = \dfrac{(x - 1)(6)}{(2)(x + 2)} [/tex]

[tex] = \dfrac{3(x - 1)}{x + 2} [/tex]

The friend's answer is incorrect.

The correct answer is:

[tex] \dfrac{3(x - 1)}{x + 2} [/tex]

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The following are characteristics of frequency tables:

A frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.

Thus, the correct answer is -

Learn more about frequency distribution:

https://brainly.com/question/12635271

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

Step-by-step explanation:

x=y³/z

(y³/z) to the power of a = y to the power of b

[tex] {y}^{3a} \div {z}^{a} = {y}^{b} [/tex]

[tex] {y}^{3} \div z = {y}^{b \div a} [/tex]

[tex] {y}^{3 \div b} \div {z}^{1 \div b} = {y}^{1 \div a} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} {z}^{1 \div b} [/tex]

[tex] {y}^{b} = {z}^{c} [/tex]

[tex]z = {y}^{b \div c} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} \times ({y^{b \div c} })^{1 \div b} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} \times {y}^{1 \div c} [/tex]

as b/c × 1/b = 1/c

and so we see based on the exponents that

3/b = 1/a + 1/c

Hello!

· {3x + y = 2 · {y = 2 - 3x

· {2y + 6x = 4 · {2(2 - 3x) + 6x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {4 - 6x + 6x = 4 · {4 - 12x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {12x = 4 + 4 · {12x = 8

· {y = 2 - 3x · {y = 2 - 3 • 8/12

· {x = 8/12 · {x = 8/12

· {y = 2 - 2 · {y = 0

· {x = 8/12 · {x = 8/12

Good luck! :)

Answer:  108cm%2F%222+cm%22=54 .

Then you would add more rows like that for a total of

72cm%2F%222+cm%22=36 rows.

Step-by-step explanation:

many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.

It is possible because 72 and 108 are both divisible by 2.

You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,

Really hope this helped couldnt really see it

Answer:

Im not sure what the answer choices are supposed to be but i think it's out of C or D.

Step-by-step explanation:

Answer:

13/36

Step-by-step explanation:

1 - 2/3 equals 1/3 which is inside the parenthesis

square the number in parenthesis (1/3) and it equals 1/9

multiply the 2 fractions 1/4 and 1/9 to get 1/36

finally add 1/3 with 1/36

12/36 + 1/36 would equal 13/36

Answer:

0.3

Step-by-step explanation:

just divide on a calculator 3/9 and u get 0.3

Answer:

second one

Step-by-step explanation:

9514 1404 393

Answer:

  Y = 7.2

Step-by-step explanation:

We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.

  Y = 7.2

Answer:

rounding is used to make long/rough calculations cleaner or easier

Step-by-step explanation:

Answer:

Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.

Step-by-step explanation:

For example lets say i have the problem 12.5 + 4 + 3.2.

I am told to round up to the nearest whole number.

After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.

Answer: B

Step-by-step explanation:

x+9<78 => x< 78-9=> x< 69 => b right

Answer:

B.44,50,54,68

Step-by-step explanation:

40+9<78

50+9<78

54+9<78

68+9<78

Answer:

This is about your opinion, not mine, but here's my opinion.

Don't copy and paste because anything can be found with good filters.

Essentially, just paraphrase or something.

Step-by-step explanation:

I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.

Answer: 32

Step-by-step explanation:

total= 180

180-148=32

Answer:

2.) (3,-2)

3.) (5,3)

4.) *Still trying to solve*

Step-by-step explanation:

2.)

Step 1.

   5x + 4y = 7

    3x - 4y = 17

+ ------------------

    8x      =   24

    8              8

         x = 3

Step 2.

    5x + 4y = 7

    5(3) + 4y = 7

     15 + 4y = 7

     -15          -15

      4y =  -8

      4        4

        y = -2

Final Answer: (3,-2)

3.

Step 1.

    4x + 5y = 35

         x = 2y - 1

   4(2y - 1) + 5y = 35  

    8y - 4 + 5y = 35

      13y - 4 = 35

            +4     +4

        13y = 39

        13      13

        y = 3

Step 2.

    x = 2y - 1

    x = 2(3) - 1

     x = 6 - 1

     x = 5

Final Answer: (5,3)

I do apologize that I couldn't find the solution to 4.) if I do I will edit this answer

I hope this helps!

Answer:

(x+6)^2 +(y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -6)^2 +(y-4)^2 = 7^2

(x+6)^2 +(y-4)^2 = 49

Answer:

90°

Those three sides make a right triangle,

√(84²+13²) = 85

So angle C is 90°

Answered by GAUTHMATH

Answer:

[tex] \frac{ - 2}{5} [/tex]

Step-by-step explanation:

Rise over run can help find the slope of a line segment.

[tex] \frac{(2 - 0)}{(0 - 5)} = - 2 \div 5[/tex]

Answer:

-2/5x+5=y the slope is -2/5 x

Step-by-step explanation:

Answer:

kiwis = $1.5

mangoes = $2.25

Step-by-step explanation:

Two equations can be derived from the question

2m + 3k = 9 equation 1

5m + 2k = 14.25 equation 2

m = mangoes

k = kiwis

multiply equation 1 by 5 and 2 by 2

10m + 15k = 45 equation 3

10m +4k = 28.5 equation 4

Subtract equation 4 from 3

11k = 16.5

k = 1.5

Substitute for k in equation 1

2m + 3(1.5) = 9

2m + 4.5 = 9

2m = 4.5

m = 2.25

Answer:

find the value of:Cos = 0.54

Answer:

A. ¹/27

Step-by-step explanation:

✔️Volume of large sphere = ⁴/3πr³

r = 18.6 in.

Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³

✔️Volume of small sphere = ⁴/3πr³

r = 6.2 in.

Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³

✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26

= 1 : 27

Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.

Answer:

He will need at least 657,142.86

Step-by-step explanation:

Determine how much commission he needs

60000-14000

46000

Commission is 7%

Let x be the sales

x*7% = 46000

x*.07 = 46000

Divide each side by .07

x = 46000/.07

x =657142.85714

Rounding to the nearest cent

x = 657,142.86

Answer:

-5

Step-by-step explanation:

3x²y + xy²​

Let x = -1/2 and y = 4

3(-1/2)^2 (4) + (-1/2) (4)^2

Exponents first

3(1/4) (4) + (-1/2) 16

Multiply

3 - 8

Subtract

-5

​

Answer:   [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]

Step-by-step explanation:                                                                                                                                                                                                                     simplify it                                                                                                                  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex]                                                                       evalute                                                                                                        [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]                                                                                                                                                                                                                                                              

Answer:

It is the third one

Step-by-step explanation:

c

Answer:

30, 90

1 : √3 : 2

Step-by-step explanation:

let the smaller angle be x

hence, the other angle = 3x

180-60=4x

4x = 120

x = 120/4 = 30

other angle = 3(30) = 90

the triangle is a 30-60-90 triangle,

hence the ratio of the sides are 1:√3:2

( short leg : long leg : hypotenuse )

Answer:

92

Step-by-step explanation:

Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel

Answer:

[tex]\angle 2=92^{\circ}[/tex]

Step-by-step explanation:

When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.

In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:

[tex]\angle 2=\boxed{92^{\circ}}[/tex]

Answer:

x = -3,y = 2

Step-by-step explanation:

3x-2y = -13

4x-3y = -18

~~~~~~~~~~~~~~~~

9x -6y = -39

-8x+6y = 36

x = -3

-12 -3y = -18

-3y = -6

y = 2