find the equation of the line passing through the point (-4,1) and the perpendicular to the line y=1/3x+4

Answers

Answer 1

Answer:

The answer is

[tex]y = - 3x - 11[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

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

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

[tex]y - 1 = - 3(x + 4) \\ y - 1 = - 3x - 12 \\ y = - 3x - 12 + 1[/tex]

We have the final answer as

y = - 3x - 11

Hope this helps you


Related Questions

1.-40/2 D
(10 Points)
N
W
Z
R​

Answers

Answer:

-40/2 is equal to -20

Step-by-step explanation:

still dont kno what n w z r means

HELPPPPPPPPPPPPPPPPPPPPPPPPPP
What are the rules for subtraction and multiplication with negative numbers???

Answers

Answer:

Step-by-step explanation:

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

can you guys please solve it needed asap
-16 + 13n = -8 - 5n

Answers

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

Firstly we have to take variables to L.H.S and numbers to R.H.S

[tex]13n + 5n = - 8 + 16 \\ 18n = 8 \\ n = \frac{8}{18} \\ n = \frac{4}{9} [/tex]

Hope it helps

Answer: N=3
-16+13n=-8-5n
+5n +5n

-16+8n=8
+16 +16

8n=24
Divide both sides by 8

n=3

*PLEASE HELP

Type your response in the box.
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A. What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Answer:

The point of intersection of the two lines is (6, 8). The x-value means that the two asteroids will collide in 6 days. The y-value means that they will collide 8 million miles away from where asteroid A is now located.

Step-by-step explanation:

Exact answer from edmentum.

a jar has 5 tablespoons of honey in it. One serving of Honey is 3/4 of a tablespoon. how many servings of honey are in the jar.

Answers

Servings = total amount / serving size

Servings = 5 / 3/4

When dividing by a fraction, reverse the fraction and multiply:

= 5 x 4/3

= 20/3

= 6 2/3 servings

Answer: 6 servings

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+3/4=4.5

if you add 3/4 then it will be  5.25 so basically 5 tablespoons

it is 6 full servings

a recipe for chocolate chip cookies calls for 1 1/4 cups of flour. if you are making 2 1/3 recipes, how many cups of flour are needed?​

Answers

Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

What is the HCF used prime factorization method of 84 and 98

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Prime Factor of 84:

84

84 divides by 2 84 = 42 x 2

84 = 2 x 42

42 divides by 2 42 = 21 x 2

42 = 2 x 2 x 21

21 divides by 3 21 = 7 x 3

21 = 2 x 2 x 3 x 7

2, 3, 7 is a prime number, therefore no further factorization is possible = 2 x 2 x 3 x 7

~~~~~~~~~~~~~~~~~~~~~~

Prime Factor of 98:

98

98 divides by 2 98 = 49 x 2

98 = 2 x 49

49 divides by 7 49 = 7 x 7

49 = 2 x 7 x 7

2, 7 is a prime number, therefore no further factorization is possible = 2 x 7 x 7

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

3. Travis gets a job which pays $22.50/h. Samantha
gets a job that starts at $0.01/h and doubles every
day. How long will it take before Samantha makes
more per hour than Travis?
a. 12 hours
b. 12 days
C. Samantha will never make more than Travis
d. 6 months

Answers

Answer: 12 days

Step-by-step explanation:

Twice the difference of 1 and a number

Answers

Answer:

2(1 - x)

twice = 2

difference = subtraction

1

number = x

The algebraic expressions for Twice the difference of 1 and a number is:

2(1 - x)

How to write algebraic expressions?

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

We have:

Twice the difference of 1 and a number

Let x represent the number.

Let's write algebraic expression now:

The difference of 1 and a number is: 1 - x

Twice the difference of 1 and a number will be:

2 * (1 - x) = 2(1 - x)

Therefore, twice the difference of 1 and a number is 2(1 - x)

Learn more about algebraic expression on:

brainly.com/question/4344214

#SPJ6

which of the following actions is a person most likely to take if he or she has a hig level of self-disipline

Answers

Answer:

respect , structure

Step-by-step explanation:

If a person has a high level of self-discipline, that means they are very responsible and self-controlled.

They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.

♡ Hope this helped! ♡

❀ 0ranges ❀

The line plot below shows the distances of discus throws in a contest.
What was the distance of the shortest throw?
Discus Throw Distances in Meters
30 31 32 33 34 35 36 37 38 39 40 42 44 45 46 47 48 49 50
A 30 meters
B. 35 meters
40 meters
D. 50 meters

Answers

I think is 40 meters

Question 2 (1 point)
Choose the correct equation. Then solve the equation. [THERE ARE
TWO CORRECT ANSWERS]
A kid has 8 more quarters than dimes. The total number of coins is 20.
a. 8 quarters 16 dimes
b. 6 dimes and 14 quarters
c. 6 quarters 14 dimes
d. d + (d + 8) = 20
e. 10 quarters and 10 dimes
f. d + 8 = 20
g. 8d = 20​

Answers

Answer:

b.  6 dimes and 14 quartersd.  d + (d + 8) = 20

Step-by-step explanation:

If we let d represent the number of dimes, then d+8 represents the number of quarters. The total number of coins is the sum of the numbers of each:

  d +(d +8) = 20 . . . . . matches choice d

Collecting terms, we have ...

  2d +8 = 20

  d +4 = 10 . . . . . divide by 2

  d = 6 . . . . . . . . subtract 4

The kid has 6 dimes and 14 quarters. (matches choice b)

write exponent and bases of (-5)raise to power7 and (-9/7)raise to power6​

Answers

Answer:

The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.

Step-by-step explanation:

Answer:

The base of -5 raise to 7 is -5 and its exponent is 7. The base-9/7 raise to the power of 6 is -9/7 and it's exponent is 6.

Step-by-step explanation:

What is 4080.2679 rounded to the nearest thousandth?
A. 4080.270
O B. 4080
OC. 408R268
OD. 4000

Answers

Answer:

C. 408.268

Step-by-step explanation:

4080.2679 to be rounded to the nearest thousandth

Count 3 digits after the decimal sign.

Discount the 4th digit after the decimal sign and since it is 9>5, add 1 to the previous digit: 7+1= 8

4080.268

Correct option is C

Solve for x: two thirds plus one third times x equals two times x

Answers

Answer:  x = 2/5 in fraction form

In decimal form, the answer is x = 0.4

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

Work Shown:

2/3 = two thirds

2/3 + (1/3)x = 2x  is the equation you're given

Multiply every term by 3 so that we clear out the fractions

3*(2/3) + 3*(1/3)x = 3*2x

2 + x = 6x

From here, we solve for x

2 + x = 6x

2+x-x = 6x-x .... subtract x from both sides

2 = 5x

5x = 2

5x/5 = 2/5 ... divide both sides by 5

x = 2/5

x = 0.4

The solution of the expression is,

⇒ x = 0.4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''Two thirds plus one third times x equals two times x.''

Now, We can simplify as;

⇒ 2/3 + 1/3x = 2x

Solve for x as;

⇒ 2/3 = 2x - 1/3x

⇒ 2/3 = 5x/3

⇒ 2 = 5x

⇒ x = 2/5

⇒ x = 0.4

Thus, The solution of the expression is,

⇒ x = 0.4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

which graph shows a linear function? ​

Answers

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of  your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

2. Change the units of the following speeds as indicated:
a) 72 km/h into m/s
b) 108 km/h into m/s​

Answers

Answer:

Hey there!

Using conversion factors we get-

72 km/h=20 m/s

108 km/h=30 m/s

Let me know if this helps :)


(x+2)(x+4) = x²+6x+8 show the steps

Answers

Answer:

(x+2)(x+4)=x^2+6x+8

Step-by-step explanation:

first you foil (x+2)(x+4) and you get x^2, 2x+4x+8

then combine like terms and you get x^2+6x+8

Answer:

(x+2)(x+4) = x*x + x*4 + 2*x + 2*4

                = x² + 4x + 2x + 8

                = x² + 6x + 8

you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?

Answers

Step-by-step explanation:

A proof that square root of 2 is irrational. ... An equation x² = a, and the principal square root ... The number under the radical sign is called the radicand. ... the given square numbers, each product of square numbers is equal to what square ... are relatively prime -- and it will be impossible to divide n· n into m· m and get 2.

Answer: The Answer is N = 5

Step-by-step explanation:

The reason is that 76 + n and 2n + 26. 5 can work for both of them. 76 + 5 = 81 which is a rational number and 2 * 5  + 26 = 36 which is also a rational number.

A data set with whole numbers has a low value of 20 and a high value of 96.
Find the class width for a frequency table with seven classes.
Find the class limits for a frequency table with seven classes.

Answers

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

[tex]= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}[/tex]

= 10.86

= 11

Now the class limits for a frequency table

Particulars      Lower class limit to upper class limit

First class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

The class width for a frequency table with seven classes is 10.86.

The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

Given

A data set with whole numbers has a low value of 20 and a high value of 96.

1. The class width for a frequency table with seven classes is;

[tex]\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86[/tex]

The class width for a frequency table with seven classes is 10.86.

2. The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

To know more about Frequency click the link given below.

https://brainly.com/question/17678599

Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Identity Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition Addition Property of Equality Distributive Property

Answers

Answer:

Inverse property of multiplication

Step-by-step explanation:

Me ajudem por favor: 3x+30=80

Answers

0.06 es la repuesta

Step-by-step explanation:

Aqui esta como lo podias aser:

1. 3x + 30=80

-30. -30

3x=50

÷3. ÷3

Necesitas que divinir 50 en 3

3(0.06) + 30=80 x=0.06

Directions: Complete each proof using the properties of equality. Not all rows be used.

Answers

The answers for 13 and 14 are attached in the file.

The value of y from the given equation is 8. Hence, proved.

The given equation is (2y-1)/(-3) = -5.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

12. (2y-1)/(-3) = -5

⇒ 2y-1=15 (Cross multiply -3 to -5)

⇒ 2y=16 (Transpose -1 to RHS)

⇒ y=8 (Transpose 2 to RHS)

13. 2x+30=-4(5x-2)

⇒ 2x+30=-20x+8 (Multiply -4 into the bracket)

⇒ 2x+20x=8-30 (Transpose like terms LHS and constant terms to RHS)

⇒ 22x=-22

⇒ x=-1 (Transpose 22 to RHS)

14. 18x-2(3x+1)=5x-16

⇒ 18x-6x-2=5x-16 (Multiply -2 into the bracket)

⇒ 12x-2=5x-16 (Subtract like terms on LHS)

⇒ 12x-5x=-16+2 (Transpose like terms LHS and constant terms to RHS)

⇒ 7x=-14

⇒ x=-2 (Transpose 7 to RHS)

The value of y from the given equation is 8. Hence, proved.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The next term in the geometric sequence -1, -2, -4, ... is -6. True or False

Answers

Answer:

False

Step-by-step explanation:

Geometric series have ratios.

The ratio here is 2.

So the next term should be -8.

Write the fraction 7/8 as an equivalent fraction with the given denominator 40

Answers

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

So

7x5 = 35

The answer should be 35/40

when y=6 and x=8 x+9y

Answers

Answer:

44

Step-by-step explanation:

You plug in both numbers for the corresponding letters

what is the equation of the tangent drawn for f(x)=x-x^2 which is parallel to the line 4x-y-3=0
plssss help me °~°​

Answers

Answer:

y = 4x + 9/4

Step-by-step explanation:

4x − y − 3 = 0

y = 4x − 3

The slope of the line is 4.

The slope of the tangent line is:

f(x) = x − x²

f'(x) = 1 − 2x

Setting the slope equal to 4:

4 = 1 − 2x

2x = -3

x = -3/2

The point on f(x) is:

f(-3/2) = -3/2 − (-3/2)²

f(-3/2) = -3/2 − 9/4

f(-3/2) = -15/4

Using point-slope form:

y − (-15/4) = 4 (x − (-3/2))

y + 15/4 = 4 (x + 3/2)

y + 15/4 = 4x + 6

y = 4x + 9/4



can you answer this

Answers

Answer:

3 square fhfhfjshxfjkzkdjzhx h2jxfjwjznnznzn

What is h-(-5)=2? And how do you solve it?

Answers

Answer:

It is an equation, and the answer is [tex]h = -3[/tex]

Step-by-step explanation:

We have a variable that's equal to a term, so this is an equation.

To solve this, we want to isolate h on one side.

[tex]h - (-5) = 2[/tex]

Subtracting a negative is the same thing as adding a positive:

[tex]h + 5 = 2[/tex]

Now we can subtract 5 from both sides to isolate h.

[tex]h + 5 - 5 = 2-5\\\\h = -3[/tex]

Hope this helped!

Answer:2 2/2

Step-by-step explanation:

3(y+5)=8y
Solving linear equations

Answers

Answer:

y = 3

Step-by-step explanation:

To solve this equation, we will use conventional algebraic techniques as illustrated below.

3(y + 5) = 8y Distribute the 3.

3y + 15 = 8y Subtract 3y from both sides.

15 = 5y Rearrange the equation so the variable is on the left.

5y = 15 Divide by 5 on both sides.

y = 3

Answer:

y =3

Step-by-step explanation:

[tex]3\left(y+5\right)=8y\\[/tex]

Expand

[tex]\mathrm{Expand\:}3\left(y+5\right):\quad 3y+15\\\\=3y+15=8y[/tex]

Subtract 15 from both sides

[tex]3y+15-15=8y-15[/tex]

Simplify

[tex]3y=8y-15[/tex]

Subtract 8y from both sides

[tex]3y-8y=8y-15-8y[/tex]

Simplify

[tex]-5y=-15[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-15}{-5}[/tex]

Simplify

[tex]y =3[/tex]

Other Questions
I really stuck on this question can someone help me out? What rational number, when multiplied by an irrational number, has a product that is a rational number? a. 1/2 b. 1 c. 1/10 d. 0 ActivityRead the information provided and then type in the job title (In Spanish) that best fits the description.Part ATrabajo en un hospital. Trabajo con enfermeros todos los das. Cul es mi profesin? this is my question the location at which two lines, line segments, or rays intersect The beginning of "The Dancing Partner" emphasizes Geibel's great skill as a creator of mechanical toys. How is that part of his character important to the development of the story's theme? Suppose demand is given by Qxd = 50 4Px + 6Py + Ax, where Px = $4, Py = $2, and Ax = $50. A is the amount of the advertising. What is the quantity demanded of good x? yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature 15 + 48 (2) raised to power 4 * Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically chargesclients either less than $250 or more than $700. Which inequality represents x, the typical number of hoursworked?75x + 100 < 250 or 75x + 100 > 700100x + 75 < 250 or 100x + 75 > 700250 < 75x + 100 < 700250 < 100x + 75 < 700 According to Accenture's Technology Vision 2014, becoming a(n) _______ is crucial to how enterprises innovate and differentiate from competitors. Which kind of diet helps prevent cancer? Please help me with my assignment. I need to past this tom :( Give four effects of water hammer. Shivaram and Kiran are buying a home in a new subdivision. Due to all of the subdivisions in the area, a new elementary school is being built. Additionally, a new area park is planned. Shivaram and Kiran have been informed the taxes on their new home are substantially higher than their previous property. Why If x + 4 is one factor of x3 + 64, what is the other factor? The area of quadrilateral ABCD in the below figure is(a) 57 cm(b) 95 cm2 (c) 102 cm2(d) 114 cm Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP sam is baking cakes at her parents bakery. she gets paid $20 a week in addition to $4 for every cake she bakes. she made $60 this week. write an equation to show how many cakes sam baked this week What is the rule for this pattern? 8, 4, 2, 1 Divide by 2. Multiply by 2. Subtract 4. Add 4.