Mathematics High School

What is the equation of the line perpendicular to 3x+y=6 that passes through the
point (-6, -1)?

What Is The Equation Of The Line Perpendicular To 3x+y=6 That Passes Through Thepoint (-6, -1)?

Answers

Answer 1

Answer: y = -1/3x - 3

Step-by-step explanation:

First, convert this equation into slope intercept form (y = mx + b where m is the slope and b is the y-intercept)

To convert this equation into slope-intercept form, all you have to do is subtract 3x from both sides to give you the equation y = 3x + 6

Next, you need to find the slope of your new equation. The slope of a perpendicular line will have a slope that is the opposite reciprocal of the first slope, which means it will have the opposite sign and the fraction will be flipped (even whole numbers are a fraction - they are divided by 1)

Since the slope of the first equation is positive 3, you are going to change the sign to a negative and flip the fraction from 3/1 to 1/3, which gives you a slop of -1/3

Now that you have your slop, you need to find your y-intercept. To do this, you use the point that you are given. In the previous step, you figured out the slope, so now you can enter that into your new equation. Then, plug the x-coordinate in for x and the y-coordinate in for y in the equation.

At this point, your equation is y = -1/3x + b. You can plug -6 in for x and -1 in for y to give you the equation -1 = -1/3(-6) + b

The next step is to solve the equation like you would any other equation.

Multiply -6 by -1/3 to get 2, then subtract 2 from -1 to get b = -3

Lastly, create your new equation in slope-intercept form with the values you have found.

y = -1/3x -3

Related Questions

determine the quotient when 18 is divided by 6​

Answers

Answer:

18 divided by 6 = 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

18/6=3

6+6+6=18

simplify
x^2-16/2x^2-5x-12​

Answers

Answer:

−7x2−5x−12

Step-by-step explanation:

and if you need the answer to that its 46

Multiply: (3x - 5)( 4x2 - 2x - 3)​

Answers

Answer:

-21

Step-by-step explanation:

3x-5=2

4x 2=2

2x-3=2

add them together you will get -21

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x=20

Step-by-step explanation:

use proportions

121:11

or 11:1

take 10 and multiply it by 11 to get the length of the other side.

110

set the equation equal to that length

5x+10=110

-10 on both sides

5x=100

÷5 on both sides

x=20

There are rational numbers that are not
integers.
True or false?

Answers

Answer:

true

Step-by-step explanation:

This is very true hope this helps

Please help me!!!!!!!!!!!!!!!!!!!!

Answers

Answer is probably -15

please help me thanks

Answers

Answer:

m<d=125

Step-by-step explanation:

hope it helps

A sum of money is deposited at a bank at a rate of 12½ annum simple interest. In how many years would the deposited money be doubled

Answers

Answer:

It would take 10 years for the given sum of money be doubled at the given simple interest rate.

Step-by-step explanation:

A 10% interest would be added to the the principal amount after each year. So  the interest would reach 100% i.e. equal to the principal amount in 10 years.

What is the total surface area of the rectangular prism?​

Answers

The answer is 856 units^2

Answer:

856

Step-by-step explanation:

= 2 × (14×12 + 14×10 + 12×10)

= 2 × (168 + 140 + 120)

= 2 × 428

= 856


Convert to degrees
(pie over 2)

pie
——
2

Answers

Answer:

90°

Step-by-step explanation:

[tex](\pi /2) * 180 = 90[/tex]

Whenever you are required to transfer from Radians to Degrees, simply multiply the Numerator by 180° (180). Treat the [tex]\pi[/tex] as a variable such as x and y, and divide by the numerator.

How do I find the area of the shaded region

Answers

Answer:

Area of shaded region,

=(Area of bigger circle) - (Area of smaller circle)

Step-by-step explanation: took the quiz and got it right

Layla scored 18 out of 22 on a quiz and a 60 out of 70 on a test. Did Layla score a higher percentage on the quiz or on the test? Justify your answer.

Answers

Answer:

the quiz

Step-by-step explanation:

18/22 simplifies to 9/11 (uh-oh)

60/70 simplifies to 6/7

you can estimate from here that 9/11 is bigger, so she scored higher on the quiz

Answer:

Layla scored higher on the test.

Step-by-step explanation:

18/22 is 81.81%. And 60/70 = 85.71%.

Explain whether a triangle exists with side lengths 31 m, 89 m, and 122 m.​

Answers

Answer:

No

Step-by-step explanation:

The sum of the smaller sides is not bigger than the largest side, 122. ( 31 + 89 = 120 < 122)

Suppose you spend 3/5 of your monthly budget on food and 1/4 on bus fare. Food and bus fare total $212.50/month. What is your monthly budget?

Answers

30.$ I believe that’s what the answer is

Sally wants to buy a doll house house that is 20% off. The original price is $46.53 what is amount of discount

Answers

Answer:

9.28

Step-by-step explanation:

Answer:

37.22

Step-by-step explanation:

a plumber charges a $65 fee for a repair plus $35 per hour. write an equation to model the total cost y of a repair that takes x hours.

Answers

Answer:

$65 + x=y

Step-by-step explanation: $65 is the fee, added to x which represents the amount of hours, y is the total cost

One batch of green paint uses 2 cups of yellow paint and 7 cups of blue paint.
Mai made a large amount of green paint using 14 cups of blue paint.

a. how many batches of green paint did she make?

b. how many cups of yellow paint she used?

Answers

1. 7 2. 2

Your welcome

Answer:

To find an equivalent ratio, she can start at the point (2, 1) and move  

✔ right 2 and up 1

.

She can draw a straight line from the origin that passes through  

✔ the equivalent ratios

.

As long as she picks a ratio on the line, Larissa will get  

✔ the same

shade of green paint.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

45+72=5(5+9)

what is maya's eror

Mya did not write the common factor in the correct place.
Mya wrote two expressions that are not equivalent.
Mya did not use the correct operations in the equation.
Mya used a factor that is not common to 45 and 72.

Answers

Answer:

gggcfbgcjun

Step-by-step explanation:

gmkknnzksksjxndncudhudbiejufnridmwjdiendysheixnddyhdbeudbeudne8djeudneudhebdjrn8fjr

Answer:

117 just because it is atless

PLZ HELP ASAP ASAP ASAP!!!!!!!VPLZ HELP ASAP ASAP ASAP!!!!!!!VPLZ HELP ASAP ASAP ASAP!!!!!!!PLZ HELP ASAP ASAP ASAP!!!!!!!PLZ HELP ASAP ASAP ASAP!!!!!!!PLZ HELP ASAP ASAP ASAP!!!!!!!PLZ HELP ASAP ASAP ASAP!!!!!!!PLZ HELP ASAP ASAP ASAP!!!!!!!

Answers

Answer:

y=x*7

Step-by-step explanation:

63=9*7

28=4*7

14=2*7

77=11*7

The first night in a hotel costs 40 dollars. All additional nights cost 27 dollars. How many nights did we stay
at this hotel if the total bill was 148 dollars?

Answers

Answer:

5

Step-by-step explanation:

First, you would want to subtract the first nights cost from the bill, which you would get 108. And then you would want to divide 108 by how much it costs to stay additional night, so 108 divided by 27 = 4. But you have to remember to add the first night you stayed so it would be 5. I hope this helps :)

Answer:

4 nights

Step-by-step explanation:

148-40=108

108÷27=4

So, you spent 4 nights at the hotel.

UGENT. Please help I’m so lost on this. Due within 15-20 minutes..

I’ll mark brainlylist

Answers

Answer:

Step-by-step explanation:

(y= 1/2 x 4x) answers: y intercept (0,1/2) range: ( 0 , ∞ ) , { y | y > 0 } domain: all real numbers. Asymptote: y=0. I think these are the answers for question 7, i hope this helps.

Write the coordinates of the vertices after a translation 6 units left and 2 units down.

K(-1,2)
L(1,5)
M(-1,6)
N(-3,5)

How to answer:
K'( , ), L'( , ), M'( , ), N'( , )

Answers

Answer:

Answer below.

Step-by-step explanation:

K'(-7,0) L'(-5,3) M'(-7,4) N'(-9,3)

What is the area of a circle that has a circumference of 87 pie

Answers

Answer:A≈602.32

C Circumference 87

Step-by-step explanation:Hope this helped u also may i plz have brainlist only if u wanna give me brainlist though! Have an great day kind sir or ma'am

A rectangle is 6 feet long by 4 feet wide.

If 2 feet are removed from the length of the rectangle, what would be the area, in square feet, of the new rectangle?

Answers

Answer:

6 - 2=4

4 x 4= 16

Step-by-step explanation:

Mountain Dew has 25 fewer milligrams of caffeine than a can of Red Bull. If a Mountain Dew
has 55 milligrams of caffeine, how much caffeine is in a can of Red Bull?

Answers

Answer:

Step-by-step explanation:

Mountain Dew=Red Bull-25 caffeine

Red Bull caffeine= 55+25=80 mg caffeine  

Can someone help me with the exterior angle sum?

Answers

Answer:

no sorry but it's okay you at least guess

To find the value of a given exterior angle simply divide 360 by the number of sides or angles that the polygon has.

Triangle 360/3=120
Pentagon 360/5=72
Quadrilateral 360/4=90
Hexagon 360/6=60

answer pls I need it badly willing to offer brainly

Answers

Answer:

Question 13: x=13

Question 14: x=-4

Question 15: x=5

Step-by-step explanation:

2, 6, 18, 54. 162,...
The first five terms of a geometric sequence are given above.

Write a recursive function rule for the sequence.

a
f\left(n\right)=3f\left(n\right)+2

b
f\left(n\right)=2n

c
f\left(n\right)=3f\left(n-1\right),\ n1=2

d
f\left(n\right)=3n+2

Answers

9514 1404 393

Answer:

  [tex]\text{c. }f(n)=3f(n-1);f(1)=2[/tex]

Step-by-step explanation:

The first term is 2, so part of the recursive definition is ...

  f(1) = 2

The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...

  f(n) = 3·f(n -1)

These two parts of the definition match choice C.

6 eggs in 7 dауs what would be the answer?

Answers

Answer:

42 Eggs

Step-by-step explanation:

6×7=42

6 eggs every day for 7 days, gives us 42 eggs at the end of the week

Hope this Helps!

42 eggs. 6 ega multiplied by 7 days= 42 eggs

A family took a trip fork North Carolina to California and back. It took them 14 days to drive 4,900 miles. If they drove about the same miles each day, how many miles did they drive each day?

Answers

Answer:

350 miles.

Step-by-step explanation:

If you take 4900 and divide it by 14 you get 350. Hope this helps!

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