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

Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4

The solution is ____ ​(Type an exact answer in simplified​ form.)

Answers

Answer:

  (x, y, z) = (2, -4, 3)

Step-by-step explanation:

It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].

__

If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.

r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement

r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement

r1 ← r1 -2·r2 +5·r3

__

r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.

_____

Additional comment

Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.

For each of the solutions of the equations find two consecutive integers between which the solution is located: x^2=3, x^2=5

Answers

The two consecutive integers between which the solution is located are 1 and 2

The two consecutive integers between which the solution is located are 2 and 3

Given the expressions x^2 = 3 and x^2 = 5

For the equation

x^2 = 3

Take the square root of both sides

x = ±√3

x = 1.732

Hence the two consecutive integers between which the solution is located are 1 and 2

For the expression

x^2 = 5

x = ±√5

x= 2.24

The two consecutive integers between which the solution is located are 2 and 3

learn more on roots here:https://brainly.com/question/12501796

Answer:

1. 1,2       2. 2,3

Step-by-step explanation:

The low temperature on a certain day is 56°F. The low temperature is 14°F lower than the high temperature, h. Which equation can be used to find the high temperature for that day? o 56 = h – 14 Oh + 56 = 14 O 56 = 14h 0 56 = h + 14 WHOEVER ANSWER GETS BRAINLESS NEED HELP​

Answers

Answer: 1.09

Step-by-step explanation:

HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

No. of pies donated by the cafeteria⇢9No. of pieces all the pies were cut into⇢8No. of pies that were baked in total⇢ x

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

Which is the algebraic expression for "two times the sum of a number and four'?

*Someone save me.*​

Answers

Answer:

2(x+4)

Step-by-step explanation:

1 + 1? (just for fun!)

Answers

Answer:

equal 11

Step-by-step explanation:

:>

hmmm wonder what else it would be

Help help help help help help help help help

Answers

Answer:

A'(-2,3) B'(-1,1) C'(-4,0)

Step-by-step explanation:

Translating just means adding whatever numbers to each coordinate. Point A translated from (3,0) to (-2,3) because 3-5 is -2 and 0+3 is 3.

How to do question 1 ?​

Answers

Step-by-step explanation:

srry

Answer:

A

Step-by-step explanation:

I DID THE WORK IN MY HEAD

btw im 11

Mr. And mrs. Samson decide to go with design a and purchase the materials. Their total bill is 356.88. If they pay 220 in cash and charge the remainder, how much did they charge?

Answers

Answer:

136.88

Step-by-step explanation:

Subtract 356.88 - 220 = 136.88

Which equation could be represented by the number line?

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

I believe it is D..

Hopefully, this helps you!

[tex]Sokka[/tex]

Answer:

I think it is C.

Step-by-step explanation:

It has a starting point. It also has an arrow that is going toward the negatives. It also has a gap of 9 units. So therefore, C is our answer.

what set of angles can form a line

Answers

Answer:

Did u mean triangle? There are no angles on a line.

Or do you mean two angles of 90 degrees?

Step-by-step explanation:

PLS ILL GIVE BRAINLIEST!!!!

Answers

Answeryawa ka

Step-by-step explanation:

A set of house plans is made in the ratio 30:1. if a room is 6m long,how long is this room on the plan

Answers

Answer:

0.2

Step-by-step explanation:

30: 1

6:?

cross multiply

(6*1)/30

ans:0.2cm

8x-2y=18 3x-y=5 What is the y value of the solution?

Answers

Answer:

y = 7

Step-by-step explanation:

8x - 2y = 18

3x - y = 5

the above system of equations can be solved by multiplying the second equation by -2 so the 'y-terms' get eliminated

you can then substitute the value of 'x' into the equation to find the value of 'y'

  8x - 2y = 18

+ -6x + 2y = -10

2x = 8

x = 4

3(4) - y = 5

12 - y = 5

-y = -7

divide each side by -1 to get:  y = 7

If
x
=
4
and
y
=
6
, evaluate the following expression:
2
(
x
+
y
)

Answers

[tex]x=4 , ~y = 6\\\\2(x+y) = 2(4+6) = 2(10) = 20[/tex]

-6/5 - (-3/8)
Help please




Answers

Answer:

-0.825

Step-by-step explanation:

Did not know the options so do not know if this is right or not.

Here is ur answer.

- BRAINLIEST answerer

At a coffee shop, a latte costs $5.50 and
hot tea costs $1.75. Each day, Parker
buys 2 hot teas and several lattes for
his office staff. Which equation can be
used to find y, Parker's total cost, if x
represents the number of lattes? (7.1A,
7.1B, 7.1D, 7.1F)
A y = 5.50x + 3.50
BY 5.50x + 1.75
C y = 1.75x + 5.50
Dy = 3.50x + 5.50

Answers

Answer:

A) y = 5.50x + 3.50

Step-by-step explanation:

2 x 1.75 = 3.50 + x number of lattes $5.50 each.

Will give brainliest!
We know that a + b + c = 7 and [tex]\frac{1}{a+b} + \frac{1}{b+c} +\frac{1}{a+c} =\frac{7}{10}[/tex]. What is the value of [tex]\frac{10a}{b+c} +\frac{10b}{a+c} +\frac{10c}{a+b}[/tex]?

Answers

Answer:

19

Step-by-step explanation:

Note that

[tex]\dfrac{10a}{b+c} + \dfrac{10b}{a+c} + \dfrac{10c}{a+b} = 10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right)[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b}=\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

from [tex]a+b+c=7 \implies a=7-bc; b = 7-a-c; c = 7-a-b[/tex]

and

[tex]\dfrac{7-b-c}{b+c}+\dfrac{7-a-c}{a+c}+\dfrac{7-a-b}{a+b} = 7\left(\dfrac{1}{a+b}+\dfrac{1}{b+c}+\dfrac{1}{a+c}\right)-3[/tex]

because it is not difficult to note that

[tex]$\sum \dfrac a{b+c}=\dfrac a{b+c}+\dfrac b{c+a}+\dfrac c{a+b}$[/tex]

Therefore,

[tex]7\left(\dfrac{7}{10}\right)-3 = \dfrac{49}{10}-3 =\boxed{ \dfrac{19}{10}} = \dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b}[/tex]

Finally,

[tex]10\left(\dfrac{a}{b+c} + \dfrac{b}{a+c} + \dfrac{c}{a+b} \right) = 10 \cdot \dfrac{19}{10} = 19[/tex]

Write an equation of a line with an x-coefficient of - 3 and a y-intercept of 7

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the coefficient of x, and b is the y intercept.

Which equation is linear? y=x4 y=xy –x3 ОООС f(x) = 3х + 1 y=xУ​

Answers

Answer:

f(x) = 3х + 1

Step-by-step explanation:

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer: 50%

Step-by-step explanation:

If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps

25 points! Help (Vectors)

Answers

Answer:

[tex]7\cos(30^{\circ})[/tex]

Step-by-step explanation:

Solve for x. x+12−−−−−√=x√+2

Answers

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 122 ✔️

~ nice to help you ^^

i need help on this math problem

Answers

Answer:

I can't see the problem I am blind but still very hard to see it's not quite clear

Find the sum of 8080,8928 and 7005

Answers

Answer:

80,815,933

Step-by-step explanation:

End is making some pancakes for himself and five friends. The ingredients he needs are shown in the list below.

Pancakes (serves 2)
2/3 milk
3/4 flour
3/2 sugar
1 Egg

a. How many cups of flour will Ed need?
b. How many teaspoons of sugar will Ed need?​

Answers

Answer:

a. 2 1/4 cup of flour

b. 4 1/2 tsp. off sugar

Step-by-step explanation:

Since the recipe serves 2, the answer given will feed 5 (6) people.

2.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = 4x2 + 2x − 4

C. y = −4x2 − 2x − 4

D. y = −2x2 + 2x − 4

Answers

Answer:

It's C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just put the x and y values into the equations and see which equation stays true.

for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).

so, when using this point in B :

68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68

correct.

and it is correct also for the other points.

so, B is the right answer.

Which of the following inequality’s matches the graph? A: x ≤ 5 B: x ≥ 5 C: y ≤ 5 D: y ≥ 5 what is the answer



Answers

Answer: Choice A

[tex]x \le 5[/tex]

========================================

Explanation:

Any point in the shaded purple region has an x coordinate that is 5 or smaller. So we go for [tex]x \le 5[/tex]. Either x = 5 or x < 5. The boundary line is solid to indicate that points on the boundary are included in the solution set.

Brainliest to the one thats right

Answers

Answer:

Option C is correct.

Step-by-step explanation:

In option C, the fractions are on one side and the constants are on the other. The fractions also have the same denominator. So, Option C is correct.

/////////////////////////

Answers

Answer:

E. 945

Step-by-step explanation:

The shortest root is when you go to next level down at each move.

From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.

The number of shortest roots is:

3*5*7*9 = 945

Correct choice is E

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