The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?

Answers

Answer 1

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]


Related Questions

A rectangular prism is 7.1 millimeters long and 10 millimeters high. Its volume is 213.0 cubic millimeters . What is the width of the rectangular prism?

Answers

Answer:

5 milimeters

Step-by-step explanation:

Please translate each algebraic expression to English phrase
1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6

Answers


1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6
1. Eight less than some number

2. Thirteen plus two times some number (I think)

3. Four times the sum of a number and five

4. Seven times some number or the product of a number and seven (not sure)

5. Six more than a number

How to do the 9 multiplication trick.

Answers

Answer:

0123456789

9876543210

Step-by-step explanation:

09

18

27

36

45

54

63

72

81

90

Answer:

Step-by-step explanation:

for each 9 you add, take away 1 from the first number and add 10, like

81

72

63

52

41

32

23

18

9

7/12 of £72!!!!
i really need the answer lol

Answers

Answer: Its ¨undefined¨ hope this helps !!

Answer: 42

Step-by-step explanation:

1/12 of 72 is 6

6x7 = 42

PLEASE HELP ME OUT!!!

Convert the following

0.005 kg = _____ dag

0.075 m = ______ cm

Answers

Answer:  0.5 dag and 7.5 cm

Step-by-step explanation:

1 Decagram (dag) =10^-2 kg

We can change this into a conversion factor by dividing either side into the other. Since we want to change Kg into dag, I'll divide both sides by 10^-2kg:

1 Decagram (dag)/10^-2 kg = 1

Now we can multiply this times 0.005 kg:

(0.005 kg)*(1 Decagram (dag)/10^-2 kg)

this equals 0.5 dag

------------

100 cm = 1 meter

(100 cm/1 meter):  Conversion factor

(0.075 m)*((100 cm/1 meter) = 7.5 cm

0.005 kg = 0.5 dag
0.075 m = 7.5 cm

help me please!!!!!!!!!!!

Answers

Answer:

I did mostly everything for you bestiieee on the pictureee :3

Step-by-step explanation:

hope this helped :3

:3 byeeeeeeeeeee

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?

Answers

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

How to multiply mixed fractions with same denominators.

Answers

Answer:

  multiply the numerators; express that product over the product of the denominators

Step-by-step explanation:

Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.

  [tex]\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]

The numerator of the product is the product of the numerators.

The denominator of the product is the product of the denominators.

expand and simplify 4(x+3)+4(x+5)

Answers

Answer : 8x + 32

Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32

As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.

Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points

If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one

Answers

Answer:

ez

Step-by-step explanation:

E(red) will be twice that of E(black), so Seth should choose to play red marbles.

Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.

Both options will lose points because there are two ways to lose points and only one

What is the slope of the line?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-3, 4) and (1, -3)

x changes by +4 (from -3 to 1)

y changes by -7 (from 4 to -3)

the slope is therefore -7/+4 = -7/4

use the long division method to divide 120÷24​

Answers

Step-by-step explanation:

120÷24

    

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

I’m not sure since you can only come up with one digit

How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5

Answers

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

Let's first write down the first in traditional form:

[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]

At this point, let's choose the order we want to do it.

Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra

[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]

Eliminating y: Let's simply add the two equations together. Rest is simple algebra

[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]

Describe if the function is linear, exponential, or neither. Explain how you can tell

Answers

Answer: neither
It is not linear because it does not follow a set pattern and it is not exponential because there are no exponents present.

Evaluate the expression below.

​5^{0}5
0

Answers

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

Select all the options that have the same value as 3 1/2% of 20

Answers

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.


How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4

Answers

Answer:

A) 1

Step-by-step explanation:

yeah-ya,.................. right?

A)1
Step by step explanation:yeah…….right

-----------------------------------------------------------
Standard form / Slope intercept form

_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------


Answers

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

You are solving 5 – 8/3

=y/3
. Which equation will you get if you multiply both sides by 3?

Answers

Answer:

y=0.76

Step-by-step explanation:

5-8/3 = 3y

(5-8/3) x 3 = 3y x 3

6.9=9y

9y=6.9

y=6.9/9

y=0.76

what are the values of each variable

Answers

Answer:

Step-by-step explanation:

What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6​

Answers

The scale factor is 6

Answer:

Is 6

Step-by-step explanation:

5X6=30

3X6=18

4X6=24

can anyone help me with this?
Find the missing angle measure.

Answers

Answer:

116

Step-by-step explanation:

Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:

180*(6-2) = 720 now to find x we need to find the sum of given angles first:

144 + 163 + 50 + 131 + 126 x = 720

614 + x = 720 subtract 614 from both sides

x = 116

If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?

Answers

Answer:

99 cents

Step-by-step explanation:

one quarter=25 cents

nine pennies= 9 cents

six dimes= 60 cents

one nickle= 5 cents

25+9+60+5=85+14=99

Answer:

99 cents

Step-by-step explanation:

quarter = 25 cents

pennie = 1 cent

dime = 10 cents

nickle = 5 cents

1 quarter = 25 cents

9 pennies = 9 cents

6 dimes = 60 cents

1 nickle = 5 cents

25 + 9 + 60 + 5 = 99 cents

Please help me
Thank you x

Answers

Answer:

l think that the answer is 56576

PARALLEL PERPENDICULAR OR NEITHER OR SAME slope

Answers

Answer:

21. Same Line

22. Same Line

23. Perpendicular

24. Neither

25. Parallel

26. Neither

27. Neither

28. Neither

29. Perpendicular

30. Perpendicular

31. Neither

32. Perpendicular

33. Parallel

34. Perpendicular

35. Perpendicular (?)

36. Neither

37. Neither

38. Parallel

39. Neither

40. Parallel

A curve has the equation y = x^3 – 3x + 2

Find the coordinates of the two turning points. Please help ❤️

Answers

Answer:

PLEASE MARK ME BRAINLIEST!!!

Step-by-step explanation:

moddedcraftxdepic

02/28/2021

Mathematics

High School

answered

Y= x^3 + 8x^2 +5x

work out the coordinates of the two turning points 1  

which of the following is not a true dilation?

A. The image and preimage have congruent angles

B. The image and preimage have proportional sides

C. The image and preimage are congruent

D. The image and preimage are similar

Answers

Answer:

umm i think it is B.

Step-by-step explanation:

Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.

Answers

Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.

Step-by-step explanation:

had this question

7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9

Answers

It’s 9.25 :))))))))))))

On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.

What is Expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -

5x + 7 = 6

7r + π = 4

Given is the following expression -

7.5 + (4² − 2³) ÷ 4

The given expression is -

7.5 + (4² − 2³) ÷ 4

Using the BODMAS rule, we can solve -

7.5 + (16 - 8) ÷ 4

7.5 + 8 ÷ 4

7.5 + 2

9.5

Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.

To solve more questions on evaluating expressions, visit the link below-

https://brainly.com/question/13589173

#SPJ5

plss help i'll give 80 points!! no links please

Answers

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation:

Brainliest?

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