Find the equation of the line through (-7, -2) that is perpendicular to the line y = x/3+6.
Give your answer in the form y = mx + b.

Answers

Answer 1

Answer:

y = −3x − 23

Step-by-step explanation:

The equation of the line in the slope-intercept form is y= x/3 + 6.

The slope of the perpendicular line is negative inverse: m = −3.

So, the equation of the perpendicular line is y = −3x + a.

To find a, we use the fact that the line should pass through the given point:

−2 = (−3) ⋅ (−7) + a.

Thus, a = −23.

Therefore, the equation of the line is y = −3x − 23.

Answer: y =−3x − 23


Related Questions

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 8, 32, ...

Answers

Answer:

Common difference is 4

Step-by-step explanation:

find the equation of the line that passes through (1,0) and (0,1)

Answers

Answer:

y = -1x + 1

Step-by-step explanation:

- Plug the values into slope formula:

y2 - y1 / x2 - x1

1 - 0 / 0 - 1

1 / -1

= -1

y = -1x + b

1 = -1(0) + b

1 = 0 + b

1 = b

PLEASE HELP IM STUCK WITH THIS ONE AND I DONT KNOW :(
in the diagram below BD is parallel to XY what is the value of x?

Answers

The line crossing the two parallel lines forms an allied angle
So using the theory “allied angles add up to 180 degrees” we can find x

76 + x =180
x= 180-76
x=104 (Option B)

\text{The sum of 7 and the cube of a number.}
The sum of 7 and the cube of a number.

Answers

Answer:

Step-by-step explanation:

Lets call the number n.

So the cube of this number is [tex]n^3[/tex] and the sum of 7 and the cube of this number is [tex]7+n^3[/tex]

The sum of twice a number and 4 is equal to the sum of the number and 3.

Answers

Answer:

number = - 1

Step-by-step explanation:

let the number be n then twice the number is 2n , so

2n + 4 = n + 3 ( subtract n from both sides )

n + 4 = 3 ( subtract 4 from both sides )

n = - 1

The number is - 1

Please help me solve 26 and 27

Answers

no 28

solution

(AB)=100

ABC+CBD=100

4x+2+3x-7=100

7x-5=100

7x=100+5

x=105/7

x=15

(CBD) =3x-7

3(15)-7

45-7

38

Step-by-step explanation:

by using above information

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

I don’t know the answer cheers mate

$18 less than the original price is $48.

HELP!!

Answers

Answer:

i believe itd be 66 dollars :D

hope this helps !!

Step-by-step explanation:

x - 18 = 48

add 48 and 18 and get the answer = $66

The given information is,

→ $18 less than the original price is $48.

Let the value of original price be x.

The equation will be,

→ x - $18 = $48

Let's find the required solution,

→ x - 18 = 48

→ x = 48 + 18

→ [x = 66]

Hence, the original price is $66.

4 of 8
Charles buys 50 packs of pens.
There are 10 pens in each pack
Each pack costs £5.20.
Charles sells each pen for 90p but he only manages to sell of the pens.
How much profit did he make?
£
hegartymaths
Support companies
Hegarty Maths Privacy Notice

Answers

Answer:

2600

Step-by-step explanation:

£5.20×10pens=52

52×50packs

2600

what is BE in the figure

Answers

Answer:

I honestly don't understand what is being asked

Answer:

25

Step-by-step explanation:

B is second in the English alphabet and E is on the 5th positions on this same English alphabet

Understanding Functional Relationships
Which statements are true of functions? Check all that apply
A) All functions have a dependent variable

B) All functions have an independent variable

C) The range of a function includes its domain

D) A vertical line is an example of a functional relationship

E)A horizontal line is an example of a functional relationship

F)Each output value of a function can correspond to only one input value

Help ASAP ❤️

Answers

Answer:

All functions have a dependent variable, all functions have an independent variable, a horizontal line is an example of a functional relationship  

Step-by-step explanation:

took the test

can someone help me with this please

Answers

Answer:

7.5

plss mark brainliestt

Step-by-step explanation:

5×1.5=7.5

if u dilate or enlarge something by a scale factor bigger than 1,then it gets larger

Select the inequality that represents the graph.

Answers

The second option is correct, I,e what you've chosen

On the first day of class, Willem’s Algebra I teacher agreed to assign no homework for a week to the first student to answer this question: There is a positive two-digit integer that is divisible by the sum of its digits and has exactly five factors. What is the sum of its factors? (This is for my little sister in middle school)

Answers

Answer:

81

Step-by-step explanation:

There are only two numbers with 5 factors that are only two digits. 16 and 81 are the only options and when you add 8+1=9 and 81 is divisible by 9.

Have fun with no homework for a week!

the measure of the angles of a triangle are shown in the figure below. solve for x.

Answers

Answer:

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

Step-by-step explanation:

We are asked to solve for x. We are given a triangle and all 3 angles are labeled. We know that the sum of the angles in a triangle must be 180 degrees. Therefore, the given angles: 81, 57, and (2x+18) must add to 180. We can set up an equation.

[tex]81+57+ (2x+18)= 180[/tex]

Now we can solve for x. Begin by combing like terms on the left side of the equation. All the constants (terms without a variable) can be added.

[tex](81+57+18)+2x=180[/tex]

[tex]156+2x=180[/tex]

We will solve for x by isolating it. 156 is being added to 2x. The inverse operation of addition is subtraction. Subtract 156 from both sides of the equation.

[tex]156-156+2x=180-156 \\2x=180-156 \\2x= 24[/tex]

x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides by 2.

[tex]2x/2= 24/2 \\x= 24/2 \\x=12[/tex]

In this triangle, x is equal to 12.

Answer:

x° = 12°

Step-by-step explanation:

Hello!

The sum of the measures of the angles of a triangle is 180°.

81° + 57° + (2x + 18)° = 180°

138° + (2x + 18)° = 180°

(2x + 18)° + 138° = 180°

2x + 18° = 180° - 138°

2x + 18° = 42°

2x = 42° - 18°

2x = 24°

x° = 24° ÷ 2

= 12°

Success! ☺️

Three companies Benfel Ltd, Cromwell Ltd and Samtec Ltd were recently launched in the Kenyan market. The companies have operated in the Kenyan market for a few months now. At the beginning of the month of August 2019, a survey on monthly brand switching behavior was conducted on a representative sample among customers of the three companies. The survey revealed that Benfel Ltd retains 70% of its customers and loses 20% to Cromwell Ltd and 10% to Samtec Ltd. Similarly, Cromwell Ltd retains 60% of its customers and loses 30% to Benfel Ltd and 10% to Samtec Ltd. Furthermore, Samtec Ltd retains 50% while it loses 30% to Cromwell Ltd and 20% to Benfel Ltd. It has been determined that there will be 3,500, 4,300 and 2,200 customers shopping with Benfel Ltd, Cromwell Ltd and Samtec Ltd respectively at the start of the month of September 2019.
i. Evaluate the distribution of the sample surveyed as at the beginning month of August 2019. (5 marks)
ii. Compare the long run state of the market amongst the three companies. (5 marks)

Answers

Evaluating the distribution sample surveyed and comparing the long run state of the market of the three companies

i) The distribution of sample as at the beginning month of August is :

  Benfel limited =  5000 customers

  Cromwell Ltd  =   7167 customers

  Samtec  Ltd   =   4400 customers

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customer

i) At the Beginning of the month of August the sample size for each company respectively will be

X * 70/100 = 3500 ∴ x ( sample size at August ) = 5000  ( Benfel )

y * 60/100 = 4300 ∴ y ( sample size at August ) = 7167   ( Cromwell )

z * 50/100 = 2200 ∴ z ( sample size at August ) = 4,400  ( Samtec )

ii) In the long run Benfel limited will have more customers than Cromwell and Samtec because they both lose more customers to Benfel limited than Benfel loses to them. also Benfel keeps a higher percentage of its customers

Learn more : https://brainly.com/question/11621168

25% of x algebraic form

Answers

Answer:

fraction form: 1/4x

decimal form: 0.25x

Step-by-step explanation:

g(x)-x^3+5x, f(x)-4x+5 find g(x)+f(x)

Answers

Answer: x³ + 9x + 5

Concept:

When given two functions and asked to find their sum, the process would be simply adding the expressions together to get the answer.

Solve:

**Disclaimer** I assumed the [-] as [=]. If it was, then you may refer to my answer. If it was not, then you may tell me and I'll redo it.

Given information

g(x) = x³ + 5x

f(x) = 4x + 5

Given expression

g(x) + f(x)

Substitute values into the expression

x³ + 5x + 4x + 5

Combine like terms

x³ + (5x + 4x) + 5

[tex]\boxed{x^3+9x+5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Im so confused somebody please help and explain.

Answers

[tex]\\ \sf\longmapsto 3x+4x-1=90[/tex]

[tex]\\ \sf\longmapsto 7x-1=90[/tex]

[tex]\\ \sf\longmapsto 7x=90+1=91[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{91}{7}[/tex]

[tex]\\ \sf\longmapsto x=13[/tex]

I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it

Answers

Answer:

sike

Step-by-step explanation:

gimme a reason to help u pls

I need help in this question ⁉️​

Answers

i do know the answewr and it is b because the irrational product is negative 6

Find the value of x, given that mangle PQS = 110°.
Round the answer to one decimal place if necessary.

72+10x

(gotta find value for X)

Answers

90+10x



(value of x)

So the answer is 90.8°



The correct answer would be 88.5° because 72 + 10X = 90 + X and then you have to subtract that from 110 degrees. (110 - 90 = 20, 20 / 2 = 10, so you add 10 to both sides of the equation)



110-90=20

20/2=10

10+X=10

X=0.5°

110-90+0.5 = 20.5 and that answer is rounded up to 21°

(The reason it is not rounded down to 20° is because 10/2 is 5 but you don't add it to 10 so it would be rounded down)

So the answer is 88.5°



X=88.5 ° Note: "That" in that mangle PQS = 110 ° does not refer to the answer x and therefore should be omitted. Example: Given mangle PQS = 110 °, find the value of x.



Answer: 90.8° (rounded up to the nearest degree)

Note: In free response questions, typically one decimal place is needed in the answer even if no decimal places are given in the question. For example, 1/3 is 0.33333..., and the answer is 0.3 (not 0).



88.5° should be rounded up to 90° because you add 72 + 10x which equals 90 + x and then you subtract that from 110 degrees which gives you 20 degrees. Then 20/2 = 10 so that's when you add 10 to both sides. 110 - 90 + 0.5 equals 20.5 but since 10/2 is 5 and you add that to 10 so it's now 29.5 which means you have to subtract 15 from both sides of the equation (since you can't subtract half a degree) which leaves you with 14.5 degrees, which rounds up to 15 degrees. So the answer is 88.5°.

So the correct answer should be 90°

Determine the distance from A to B. A(-1.4) B (2.0)

Answers

Answer:

5

Step-by-step explanation:

Sqrt[(2 - - 1)^2 + (0 - 4)^2]

= sqrt (3)^2 + ( -4)^2

= sqrt (9 + 16)

= sqrt 25 = 5


A recipie for homemade modeling clay includes 1/3 cup salt for every cup of water. Identify the constant of proportionality

Answers

the constant is .5 for every cup

1. After a workout class, Lenia's heart rate
decreases at a rate of 17 beats per minute for
6 minutes. How much did Lenia's heart rate
decrease in the 6-minute period?

Answers

Answer:

102

Step-by-step explanation:

17 beats * 6 minutes = 102

Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126

Answers

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

Points X, Y, and Z are collinear, with Y in between X and Z. If XY = 5x, YZ = 2x + 7, and XZ = 56, find x.x = 7

Answers

When two or more points are on a straight path, then they are collinear. So that in the given question, the value of x is 7.

Two or more points are said to be collinear if and only if they fall on a straight line. Thus, the points can be joined by a single straight line.

From the given question, it can be observed that;

XZ = XY + YZ

But given the following:

XY = 5x, YZ = 2x + 7, and XZ = 56

Then,

56 = 5x + (2x + 7)

     = 5x + 2x + 7

56 = 7x + 7

collect like terms to have

56 - 7 = 7x

49 = 7x

x = [tex]\frac{49}{7}[/tex]

  = 7

x = 7

Therefore, the value of x is 7.

Visit: https://brainly.com/question/13099718

what does -5/8 ÷ 12=

I tried -5/96 but it did not work​

Answers

Answer:

Its -5/96 in fraction form and −0.052083 repeating in decimal form.

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Don has spent $474 ordering sticks for a hockey team. A stick cost $50. Shipping cost $24. How many did he buy.​

Answers

Answer:

He bought 9

Step-by-step explanation:

add 50 in the calculator until you get 450 then add 24 and you get 474. i hope this helped

A Number x Divided by 9 is greater than -17
Translate The sentence into an inequality

Answers

Answer:

the question says that

X/9>-17

therefore,

X > -17*9

X > -153

that's the equation

hope it's helpful

Hey there!

The answer is:

[tex] \frac{x}{9} > ( - 17)[/tex]

Hope it help you
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