Determine which lines are parallel and which lines are perpendicular

Line a: 3x + y = 7
Line b: 6x + 2y = -8
Line c: -x + 3y = 6

m ᵃ =
m ᵇ =
m ᶜ=

Answers

Answer 1
Postulates:

• Parallel lines have the same slope, but different y-intercepts, because they start at different locations and stay the same slope next to each other for infinity.
• Perpendicular Lines have a negative reciprocal slope of the original line’s slope.

Solving:

We want the lines to be in slope l-intercept form: y=mx+b to determine the slope and y-intercept.

Line a: 3x+y=7 —> 3x-3x+y=7-3x —> y=-3x+7

Line b: 6x+2y=-8 —> 6x-6x+2y=-8-6x —> 2y=-6x-8 —> 2y/2=-6/2x+8/2 —> y=-3x+4

Line c: -x+3y=6 —> -x+x+3y=x+6 —> 3y/3=x/3+6/3–> y=1x/3+2.

Line a and b have the same slope of -3x with different y-intercepts; therefore, they are PARALLEL.

Line c has a different slope than lines a and b, so it is not parallel. Let’s see if it’s perpendicular to lines a and c.

Perpendicular lines have a negative reciprocal slope from the original line. Here’s the formula: y=x/z+b ——> y=-z/x+b

Line a: y=-3x+y

Line b: y=-3x+4

Line c: y=1x/3+2.

Let’s plug line a into the formula to see if the result is the slope of line c:

y=x/3+2 ——> y=-3/x+2.

Therefore, lines a and b are PERPENDICULAR to line c.

Feel free to give Brainliest!


Related Questions

identify the real and imaginary parts of the following complex number: 39i

Answers

Answer:

An i is an imaginary value.  So 7i is the imaginary part and 9 is the real part.

Hope this helps!!

Which three numbers have a least common multiple of 60?

Answers

Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The graph of f(x) = (1.68)* is shifted right 3 units and stretched by a factor of 2.

Answers

Step-by-step explanation:

usyamzymryrsysurdudymesyekatekd

H free h but if I’m brjfbh sorry I need points

3 3/4 ÷ 5 5/8
write in simplest form. Check by multiplying.
pls teach me how to answer it. I'll give brainliesnt if correct.​

Answers

Step-by-step explanation:

3¾ divided by 5⅝

4*3+3 = 15/4

8*5+5 = 45/8

15/4 * 8/45 =

2/3


A store owner sold 4 paint brushes for $12.00 and 8 pens for $3 20. What is the difference between the unit price of a paint brush and the unit price of a pen?

Answers

One of the units of money and the o her is p of b

In the figure below m || n find the value of x and the value of the angle labeled (4x)

Answers

Step-by-step explanation:

ther are alternate interior angle therefore their value are equal

so now,

6x - 44 = 4x

-4x + 6x = 44

2x = 44

x = 44/2 = 22

x = 22

therefore value of x is 22 and 4x is 88

x = 22°

4x = 4(22) = 88°

hope this answer helps you dear...take care and may u have a great day ahead and also ur exam/test goes well!

Rewrite the quadratic equation in standard form 4x^2=2x-6

Answers

Answer:

Answer Below....

Step-by-step explanation:

Answer:

4x^2 - 2x + 6

Step-by-step explanation:

The "standard form" of the quadratic equation is ax^2 + bx + c.

Here we have 4x^2 = 2x - 6, whose terms must be rearranged to resemble ax^2 + bx + c.  Term 4x^2 stays where it is, but + 2x - 6 on the right side must be moved to the left side, which results in:  4x^2 - 2x + 6

Find the next 3 terms if it is a arithmetic sequence, 20.5, 12.4, 4.3, -3.8, -11.9

Answers

Answer: -20 -28.1 and -36.2

Step-by-step explanation:

20.5 - 12.4 = 8.1

12.4 - 4.3 = 8.1

4.3 - (-3.8) = 8.1

(-3.8) - (-11.9) = 8.1

(-11.9) - ([tex]n_{1}[/tex]) = 8.1

[tex]n_{1}[/tex] = -20

(-20) - ([tex]n_{2}[/tex]) = 8.1

[tex]n_{2}[/tex] = -28.1

(-28.1) - ([tex]n_{3}[/tex]) = 8.1

[tex]n_{3}[/tex] = -36.2

please give me a brainliest answer

what is the answer to this, please?

Answers

Answer:

s^3 + 12

Step-by-step explanation:

To get the missing volume you need to do:

height x length x width or s^3.

Then, add that volume to the existing 12 volume:

s^3 + 12.

Hopefully this helped!

Brainliest please?

Answer:  I don't know do it your self

Step-by-step explanation:

You are shopping for school supplies. You want to buy 8 notebooks for $1.50 each. Show how you can use the distributive property to find the total cost of the notebooks mentally.
8x $150=8(1+ )
=8(1)+8( )
=8+ ( )
=$ ( )

Answers

Answer:

12

Step-by-step explanation:

8x1+8x0.5

8+4

12

12$ is the total cost

which expression is equivalent to the ghen expression?

Answers

Answer:

3√5

Step-by-step explanation:

Square root of 45

Square Root of 45: √45 = 6.708

We can find the square root of 45 using the following steps:

Step 1: Check whether the number is a perfect square or not. In this case, 45 is not a perfect square as it cannot be broken down into a product of two same numbers.

Step 2: Once the number is checked, the following process needs to be followed:

If the number is a perfect square, it can be written in this format √x2 = x

If it is not a perfect square, the square root is found using the long division method. It can also be written in its simplified radical form.

Since 45 is not a perfect square, we find its square root using the long division method. The simplified radical form of the square root of 45 is given below.

Simplified radical form of the square root of 45-

45 can be written as a product 9 and 5. Hence, square root of 45 can be expressed as, √45 = √(9 × 5) =  3√5. 45 is not a perfect square, hence, it remains within roots. The simplified radical form of the square root of 45 is 3√5.

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

9514 1404 393

Answer:

  C.  3√5

Step-by-step explanation:

Your calculator can help you choose the correct answer.

  [tex]\sqrt{45}=\sqrt{9\cdot5}=\sqrt{9}\cdot\sqrt{5}=\boxed{3\sqrt{5}}[/tex]

_____

Compare the decimal values using your calculator:

  √45 ≈ 6.7

  5√3 ≈ 8.7

  9√5 ≈ 20.1

  3√5 ≈ 6.7

  5√9 = 15

mary made $414 for 18 hours of work at the same rate, how much would she make for 11 hours of work

Answers

414/18=x/11

18x=4554

x=253

Mary would make $253 for 11 hours of work

Juan pays $500 per month in rent, a semiannual car insurance premium of $800, and an annual health club membership fee of $900.

Answers

Answer:

400 is the answer

Step-by-step explanation:

900-800=100

500-100=400

Help me with this pleaseee

Answers

Answer:

option c

Step-by-step explanation:

Volume = Length * Width * Height

this is a pretty easy problem cuz all u need to do is find which one of the options has a product of 729.

option a) 7 * 8 * 12

well 7 * 8 * 12 equals 672, so that cannot be the box

option b) 8*9*11

8*9*11 = 792. cant be the box cuz 792 does not equal 729

option c) 9*9*9

9*9*9=729

option c is the box cuz 729 = 729

Laura has 16 goals and 28 pls When she goes to the county fair, she needs to
have the same number of animals in each pen. Goats and pigs cannot share the same pen.
How many animals in each pen?

Answers

Step-by-step explanation: Question was made confusingly but you can put 4 animals per pen for a equal amount for each pen.

3) (2.01) Identify the domain and range. Then, determine whether the
relation is a function or not. Explain your reasoning.
Relation: (-1,0) (2, 4) (0, 3) (2, 1) (6,5)
Domain:
Range:
Is this relation a function? Why or why not?

Answers

Domain: {-1,2,0,6}
Range: {0,4,3,1,5}
The relation is not a function because the domain 2 has more than one range, 1 and 4.

simplify x ^2 ⋅ x ^−12

Answers

Answer:

x^2*x^-12= 1/x^10

Triangle BCD with vertices B(-2, 3), C(8, 7),
and D(-1, -5): y = x

Answers

Answer:

B'(-4, 1.5), C'(-2,-3), D'(1, 0)

Step-by-step explanation:

After reflecting the vertices of triangle BCD across the line y = x, you get: B' (3, -2), C' (7, 8), and D' (-5, -1)

We have,

It looks like you want to find the images of the vertices of triangle BCD after reflecting them across the line y = x.

To do this, you need to swap the x-coordinates with the y-coordinates of each vertex.

Let's calculate the new coordinates for B', C', and D':

Reflecting point B(-2, 3):

B' = (3, -2)

Reflecting point C(8, 7):

C' = (7, 8)

Reflecting point D(-1, -5):

D' = (-5, -1)

Thus,

After reflecting the vertices of triangle BCD across the line y = x, you get: B' (3, -2), C' (7, 8), and D' (-5, -1)

Learn more about reflections here:

https://brainly.com/question/12463306

#SPJ3

A grocery store chain has $8,505 to buy new shelves. If each shelf costs $7, how many shelves can be purchased?

Answers

Answer:

1215....

Step-by-step explanation:

$8,505÷$7=1215

i need help what is -2 + y = 8 graphed

Answers

line parallel with the x axis and have the line intersecting on y=10

What is the domain and the range to this

Answers

Answer:

Look Down below :P

Step-by-step explanation:

If you were looking for if it even has a domain and range let's say if the point (15/4,7) should have read (15/4,17) then a plot of these points appears to show a hyperbola and the x and y (f(x)) axes look like Asymptotes. If the general function has the form f(x)=a/x, then there should be a consistent value for a which can be found be substituting the points in the equation. Take one point (17,15/4) and we get 15/4=a/17, from which a=255/4. f(x)=255     x/4. We have no negative values as examples so we cannot assume that the function is defined for negative values of x. f(x)=255 x/4 fits all the points except for (15/4,7), which is possibly mis-typed. The domain of the function is therefore all values of x>0 and the range of f(x) is f(x)>0, assuming continuity and extrapolation of the function.

If the point (15/4,7) is valid then f(x) as defined above is invalid or incomplete. f(x) may be a piece wise function where f(x)=7 if and only if x=15/4. For 0<x<15/4 and x>15/4, f(x)=255 x/4. These would be the domain for x. The range of f(x) is f(x)>0 and f(x)=7 only when x=15/4.

What is the image of the point (-5, -9) after a rotation of 90° counterclockwise
about the origin?

Answers

Answer:

(9, -5)

Step-by-step explanation:

If you rotate a figure 90 degrees counterclockwise, the coordinates will go from (x, y) to (-y, x).

So, let's start out with -y. The y-value of (-5, -9) is -9, and the negative value of that is -(-9) or 9. That goes first in our point: (9, x.) Now, we just keep our x-value the way it is, -5, and put that in our y-value: (9, -5). And there's our point after a 90 degree counterclockwise rotation.

(9,-5) is write for that equation

Mrs. Moss has five and one fourths pounds of dry dog food she will put an equal amount of food into 3 containers. How much dog food will be in each container?

Answers

Answer:

1 3/4 pounds of food per serving

Write an equation of the line (4,3) and (9,-2)

Answers

Answer:

y= -x + 7

Step-by-step explanation:

to get the equation of a line is y=mx+b

the slope, m, would be calculated (y1-y2)/(x1-x2)

thus we would substitute in (3--2)/(4-9)

which simplifies to 5/-5

or -1

now we know that m= -1

to solve for b we have to put the equation into point-slope form which is

y-y1= m(x-x1)

this would be y-3 = -(x-4)

y-3 = -x+4

y= -x+7

find th slope of the line that passes through each pair y2 of points E(4, 0), F(5, 5​

Answers

Step-by-step explanation:

the slope = (5-0)/(5-4)

= 5/1

= 5

Answer:

b

Step-by-step explanation:

hola so today i have just showed you my answer i got and it was right let me know if you got it wrong>

N.
Kendra has a painting canvas that is 29 inches wide by 33 inches high. She painted a red rose, which covered 30% of the canvas.
What was the area of the canvas which was covered by the red rose?

Answers

Answer:

287.1 inches of the canvas.

Step-by-step explanation:

To solve this, we need to first figure out the total area of the canvas. To do that, multiply width by height.

29*33=957

Now set up your equation for solving for the area of the canvas that the rose covers.

x/957=30/100

We did it where: x is the area of the rose covers, 957 is the amount of inches that the canvas takes up, and the right side of the equation is the percent.

Now cross multiply.

100x=28,710

Now divide both sides by 100.

x=287.1

The red rose covers 287.1 inches of the canvas.

Hi, need help on this Math question please (:

Answers

Answer:

LA hat tama search mo pa yan promise

Answer:

Evan's plant is 80 millimeters taller than Raj's plant

Step-by-step explanation:

If the plant will grow 1 centimeter every month, we can write an equation that relates the height of the plant with the number of months elapsed:

Let

H = height of the plant

M = number of months elapsed

H0 = initial height = 10cm

H (M) = (1)M + H0

H (M) = (1)M + 10

Where (1) is the constant rate of growth of 1 centimeter per month.

This is the equation of a line that intersects the H axis at H = 10.

x=[tex]\frac{2n+6}{n-2}[/tex] x ∈ N, n ∈ N

Answers

Answer:

x = {3,4,7,12}

n = {12,7,4,3}

(upside down)

Step-by-step explanation:

N = {1,2,3,4,5....}

[tex]\:[/tex]

if n = 1

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

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

[tex]\sf{x = \frac{2 + 6}{-1}}[/tex]

[tex]\sf{x = \frac{8}{-1}}[/tex]

[tex]\sf{x = - 8}[/tex]

x not N

[tex]\:[/tex]

if n = 2

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(2) +6}{2-2}}[/tex]

[tex]\sf{x = \frac{4 + 6}{2 - 2}}[/tex]

[tex]\sf{x = \frac{8}{0}}[/tex]

[tex]\sf{x = \infty }[/tex]

x not N

[tex]\:[/tex]

if n = 3

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(3) +6}{3-2}}[/tex]

[tex]\sf{x = \frac{6 + 6}{1}}[/tex]

[tex]\sf{x = \frac{12}{1}}[/tex]

[tex]\sf{x = 12}[/tex]

x is N

[tex]\:[/tex]

if n = 4

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(4) +6}{4-2}}[/tex]

[tex]\sf{x = \frac{8 + 6}{2}}[/tex]

[tex]\sf{x = \frac{14}{2}}[/tex]

[tex]\sf{x = 7}[/tex]

x is N

[tex]\:[/tex]

if n = 5

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

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

[tex]\sf{x = \frac{10 + 6}{3}}[/tex]

[tex]\sf{x = \frac{16}{3}}[/tex]

x not N

[tex]\:[/tex]

if n = 6

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(6) +6}{6-2}}[/tex]

[tex]\sf{x = \frac{12 + 6}{4}}[/tex]

[tex]\sf{x = \frac{18}{4}}[/tex]

x not N

[tex]\:[/tex]

if n = 7

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(7) +6}{7-2}}[/tex]

[tex]\sf{x = \frac{14 + 6}{5}}[/tex]

[tex]\sf{x = \frac{20}{5}}[/tex]

[tex]\sf{x = 4}[/tex]

x is N

[tex]\:[/tex]

if n = 12

[tex]\sf{x = \frac{2n+6}{n-2}}[/tex]

[tex]\sf{x = \frac{2(12) +6}{12-2}}[/tex]

[tex]\sf{x = \frac{24 + 6}{10}}[/tex]

[tex]\sf{x = \frac{30}{10}}[/tex]

[tex]\sf{x = 3}[/tex]

x is N

[tex]\:[/tex]

conclusionI found the pattern of numbers that the value of n is 3, 4, 7,12 For x, I found the pattern of numbers that the value of x is 12, 7, 4,3

Compare & Contrast: What is different about complementary and supplementary angles? What is the same?​

Answers

Complementary: When two angles add up to 90 degrees

Supplementary: When two angles add up to 180 degrees

Similarities are both involve two angles, the difference is the total degrees they add up to.

Which graph shows exponential growth?
5
4
3. 2
1
2
54 -3 -2 -1
1 2 3 4 5 X
-2
-3
-4
-5
ly I

Answers

Answer:

54 -3 -2 -1

Step-by-step explanation:

I hope this help!!!

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