Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?

Answers

Answer 1

Answer:

Neither.

Step-by-step explanation:

Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].

In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].

Let's see what we get.

(1)

[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]

(2)

[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]

They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.

Also, you can graph these equations on desmos and see easily that they have none of these relationships.


Related Questions

Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?

Answers

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

original price of a truck $ 17,100.00 Tax 2.5%

Answers

Answer:

Sales Tax Only: $427.50

Total Price: $17,527.50

PLEASE HELP ILL GIVE BRAINLIEST


Matt ate 2005 calories. The next day he ate 1920 calories. What is the percent change in the number of calories from day 1 to day 2?​

Answers

Answer:

85%

Step-by-step explanation:

7) (Extra Credit) A chemist needs to mix a 12 % solution with a 20% solution to obtain 180 ounces of a 15% solution. How many ounces of each of the solutions must be used? 12%________ 20%__________

Answers

Answer:

Step-by-step explanation:

Let x be the amount of 12%

Let y be the amount of 20%

x + y = 180

x = 180 - y

x(0.12) + y(0.20) = 180(0.15)

(180 - y)(0.12) + y(0.20) = 27

(180)(0.12) - 0.12y + 0.20y = 27

21.6 + 0.08y = 27

0.08y = 5.4

y = 67.5 oz of 20% solution

x = 180 - 67.5 = 112.5 oz of 12% solution

Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21

Answers

Answer:

i agree I can't really explain why though sorry

Heather's mom's estimation is wrong, as they will only save $96.

What is a percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.

Let the original price of the ticket be x,

70% of x = 56

x = 56x100/70

x = 80

That means, the regular price is $80

On a regular day, ticket will cost = 80x4 = $320

On the special ticket price cost = 56x4 = $224

The saved priced = 320-224 = $96

Hence, Heather's mom's estimation is wrong, as they will only save $96.

For more references on percentage, click;

https://brainly.com/question/29306119

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a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?

Answers

Answer:

$20

Step-by-step explanation:

correct me if im wrong(┬┬﹏┬┬)

Which is the verbal expression for 11 - 2/n?


Answers

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

Due Tomorrow: Answer question 21 with steps

Answers

[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]

[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]

[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]

[tex]\\ \sf\longmapsto BC=15.5mi[/tex]

Now

[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]

[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]

[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]

[tex]\\ \sf\longmapsto AB=32.9mi[/tex]

(5,3)(6,r) m=-1
Find the value of r so that the line that passes through the pair of points has the given slope

Answers

Answer:

Step-by-step explanation:

Slope is change in y over the change in x

(r - 3) / (6 - 5) = -1

(r - 3) / (1) = -1

r - 3 = -1

r = 2

2 short questions 20 POINTS

Answers

Step-by-step explanation:

13.

oh, come on !

you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"

it is a simple multiplication.

and hence the answer B.

the first hint is already in the table with 1 pizza costing $5.25.

2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...

so, the cost c = number of pizzas × $5.25

or short

c = p×5.25 or 5.25p

14.

the domain is the interval or set of valid values for the input variable (x) of a function/relation.

and the range is the interval or set of valid values for the result variable (y) of a function/relation.

so, the domain is the set {-3, -1, 0, 1, 3}.

and the range is the set {-4, 0, 2, 4}.

In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).

and that's what is done here.

it is a function.

each value of x is associated exactly with 1 result value of y.

a y value can be associated with more than one x value - no problem.

but no x value can have more than one associated y value - otherwise that would break the principle of a function.

A shirt cost $24.92 with 10% discount if the sales tax is 6.35% how much will the shirt cost?

Answers

Cost 24.92*10/100
= 2.492
Sale tax 6.35+2.492
The total Cost of shirt is = 8.732

If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?

Answers

Answer:

1 cm = 350 meters

Step-by-step explanation:

2100/6 = 350

156) If x= 2in X A) P= 6.28 in B) P= 10.5 in C) P= 12.57 in D) P= 18.34 in​

Answers

Answer:

P = 6.28

Step-by-step explanation:

To find the perimeter of a circle, you would use the formula 2πr.

The diameter = x and x = 2

The radius of a circle is half the diameter so r = 1.

Now we just substitute to get our answer:

2 · [tex]\pi[/tex] · r = P

2 · 3.14 · 1 = P

6.28 · 1 = P

6.28 = P

P = 6.28

Help !!!!!!!!!!!!!!!!’

Answers

it is not a polynomial

If the length of the rectangle is thrice its breadth and breadth is 7 cm. find the perimeter...​

Answers

Step-by-step explanation:

breath=7

lenghth=3(7)

=21

perimeter of rect=2(l+b)

=2(21+7)

=56

Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.

Answers

Answer/Step-by-step explanation:

C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

Answer:

C = 35 + 9.5m

Step-by-step explanation:

This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.

16/20 - (- 1.8) - 4/5 =​

Answers

Simplify 16/20 to 4/5
Remove parentheses
4/5 + 1.8 - 4/5



=9/5

¿A donde llegas si sales de la escuela y avanzas PORFAVOR ES PARA MAÑANA

Answers

Answer:

a mi casa aunque no es lejos


Translate the English phrase into an algebraic expression: four times the difference of v and one.

Answers

Answer:

4(v-1)

Step-by-step explanation:

the answer is 4(V-1)

Answer:

the answer is 4(v-1)

If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
3
y

4
x
)

Answers

The answer is 14 that should work

What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12

Answers

Answer:

n-5=12

This is the answer

The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

What is Algebra?

Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.

The given statement is "5 less than a number is 12"

According to the given question, translate the phrase into an algebraic form :

⇒ n - 5 = 12

Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"

Now the above equation solves for variable n,

⇒ n - 5 = 12

Add 5 to both sides of the above equation,

⇒ n = 12 + 5

⇒ n = 17

Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.

To learn more about the Algebra link is given below.

brainly.com/question/953809

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NO LINKS!!!

Complete the following problems to the best of your knowledge. Show all your work. Part 1

Answers

Step-by-step explanation:

#1

a. -6, -9, 12

There is no sequence since the difference between the terms is not common and the ratio of the terms is not common

b. t(n) = 0.5 - 6

There is no sequence as all the terms are same regardless the value of n

c. 32, 16, 8

The sequence is geometric as common ratio is 1/2, each next term is half the previous one#2

a. 8, 16, 32, 64, ...

This is a geometric sequence as the common ratio is 2

b. 1, 1, 2, 3, 5, 8, ...

This is neither one since no common difference or ratio between the consecutive terms

c. 5, 5, 5, ...

This is neither one since common difference is zero or common ratio is 1

d. -101, -99, -97, -95, ...

This is a arithmetic sequence since the common ratio is 2#3

According to question the sequence is:

200000, 100000, 50000, ...

We see each number is half the previous one so this is a GP with common ratio of 1/2

find the value of x for which f(x)=4

Answers

[tex] \: \: \: [/tex]

[tex]f(x) = 4[/tex]

The domain of a constant function is the set of all real numbers

[tex]x = R[/tex]

hope it helps

[tex] \: \: \: [/tex]

What is the slope of any line that is perpendicular to the line that contains the points (8,8) and (12,12)

Answers

Answer: 1

Step-by-step explanation:

12-8=4

12-8=4

4 over 4 is 1

if it perpendicular then it's the opposite reciprocal

hope that help

fkjlfljkfleruhgowjfgwklgnerql;ng;

Answers

Answer:

THX for points XD

Step-by-step explanation:

what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.

Answers

Answer:

x^4 + 8x^2 + 8x^3 - 32x - 48

Step-by-step explanation:

You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2

There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48

Answer:

x^4 + 8 x^3 + 8 x^2 - 32 x - 48

Hope This Helps!!!

The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3

Answers

Answer:

B) 7/10 and 4/5

Step-by-step explanation:

Answer:

B) 7/10 and 4/5.

Step-by-step explanation:

Convert the values to decimals

7/9 = 0.7777...

A)  = 0.6 and 0.75  -  NO.

B)  = 0.7 and 0.8 - YES.

Complete the equation to show how many tenths are equivalent to 1/2

Answers

Answer:

5/10

Step-by-step explanation:

The difference of twice a number and 7 is 20. Find the number.

Answers

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

What is 953 divided by 6

Answers

The answer is 158.8333333333333

Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

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