What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?

I would really appreciate the help, I've been stuck on this problem for awhile.​

Answers

Answer 1

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]


Related Questions

Solve 58 - 10x< 20 + 9x.
-
O A. x2
O B. Xs2
O c. xs-2
O D. x2-2

Answers

     I am not sure what you are asking by the options provided as the formatting has been messed up, but if you simplify the given equation you end up with:

x > 2

Step-by-step explanation:

Given

58 - 10x< 20 + 9x

Add 10x to both sides of the equatoin

58 < 20 + 19x

Subtract 20 from both sides of the equatoin

38 < 19x

2 < x

x > 2

A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.

How many employees took a break that lasted between 37 and 41 minutes?

Select from the drop-down menu to correctly complete the statement.

Answers

Given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.

What is a Box-and-whisker Plot?

A box-and-whisker plot is a graphical representation of a data set showing how the data set is distributed into percentiles such as 25%, 50%, and 75%.

The range of the rectangular box covers 50% of the data set.

Thus, 37 - 41 minutes lies between 50% on the box-and-whisker plot, therefore:

50/100 × 360 = 180 employees.

In summary, given the box-and-whisker plot, the number of employees that took a break that lasted between 37 - 41 minutes is: 180.

Learn more about box-and-whisker plot on:

https://brainly.com/question/3473797

Answer:

The answer is 90

Step-by-step explanation:

Its not 180 I take k12 also.

3x+2x+6v-9g+hd+2v-1g

Answers

Answer:

5x+8x-10g+hd

Step-by-step explanation:

please mark me as brainlest

Hey there!

3x + 2x + 6v - 9g + hd + 2v - 1g

= 3x + 2x + 6v - 9g + 1hd + 2v - 1g

COMBINE the LIKE TERMS

= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)

= 3x + 2x + 6v + 2v - 9g - 1g + 1hd

= 5x + 7v - 10g + 1hd

= 5x + 7v - 10g + hd

= hd - 10g + 8v + 5x


Therefore, your answer is:

hd - 10g + 8v + 5x


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Can you please help me quickly!!

Answers

Answer:

to struggle to succeed when chances are bad

Step-by-step explanation:

She got nervous and froze when she thought she was going to lose.

If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?

Answers

Answer:

0.40 is your answer

Step-by-step explanation:

0 .40 is your answer

Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 30 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?

Answers

Answer:

10 miles

Step-by-step explanation:

Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach? Every hour, Nil gets ahead of Ethan 30 - 20 = 10 miles.

You find a ring at a garage sale and purchase it for $2. Explain how you could use a simple balance and graduated cylinder to determine if it is made of gold or if it’s a fake.

Answers

Gold has a density of 19300kg/m^3 much higher than waterSo fIll the graduated cylinder with water

Density of water is 1000kg/m^3

Gold should sink downIf yes then it's pure gold

Below are two parallel lines with a third line intersecting them.
(Please help T-T)

Answers

Answer:

x = 136

Step-by-step explanation:

44 + x = 180

x = 180 - 44

x = 136

Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget

Answers

Answer:

56 + 5xx < 65

xx < 1.8

Step-by-step explanation:

56 + 5xx < 65


subtract 56 on both sides

56 + 5xx < 65

-56 -56

5xx < 9


divide by 5 on both sides


5xx/5 < 9/5

xx < 1.8 gigabytes

7
The number of chocolates, C. needed for a party is worked out using
the formula C = 6n, where n is the number of people attending,
How many chocolates are needed if there are:
b) 12 people?
a) 8 people?
C) 40 people?
d) 50 people?

Answers

Answer: (b) 72 (A) 48 (c) 240 (D) 300

Step-by-step explanation:I just multiplied

Answer:

6*12=72

6*8=48

6*40=240

6*50=200

Step-by-step explanation:

just substitute the given number for n and mulitply

Concrete truck loaded with concrete was about 30 tons about how many pounds does the loaded concrete truck weigh

Answers

Answer:

30 tons of concrete

There are 2000 pounds in 1 ton

So 2000 pounds * 30 tons

30 * 2000 = 60000

60,000 pounds

The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2

Answers

Answer:

Below in bold.

Step-by-step explanation:

The area of each triangle = 1/2 * height * base

As it is a right triangle the height is equal to one of its sides, so

Area of 1 triangle = 1/2 * 6 * 5

= 15 cm^2

Area of mosaic = 150 * 15

= 2250cm^2.

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Answers

Answer:

Hope this helps!!!!!!

Mark Brainlest!!!!!!!!!!

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?

Ratio = 1 : 3

Let Mark's share be 1x = x

and Henry's share be 3x

We know that Mark gets £9

So,

1x = x = £9

Then 3x = £(3 * 9) = £27

HENCE,

Mark's share = £9

Henry's share = £27

Total money = Mark's share + Henry's share = £9 + £27 = £36

Answer:

£27

Step-by-step explanation:

so it shows mark is 1 while Henry is 3

we know that Mark is 1/4 while Henry is 3/4

/4 because the total is 4 so whatever their ratio is over their total

so we do: 1 = 9

3 = ?

and then u cross multiply

3*9 = 27 ÷ 1 = 27

so Henry receives £27

Can someone help me with this

Answers

Answer:

NO, but I know who can

Step-by-step explanation:

a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article​

Answers

Answer:700

Step-by-step explanation:

Let the M.P of the article be x .

A discount of 20% was given on the M.P .

So the selling price of the article ( S.P ) will be M.P - Discount .

Discount = 20 % of x

⇒ Discount = 20/100 of x

⇒ Discount = 1/5 × x

⇒ Discount = x/5

Now S.P = M.P - Discount .

⇒ S.P = x - x/5

⇒ S.P = ( 5 x - x ) / 5

⇒ S.P = 4 x / 5

The shopkeeper loses Rs 200 .

Loss = C.P - S.P

⇒ C.P = Loss + S.P

⇒ C.P = 200 + 4 x / 5

⇒ C.P = ( 1000 + 4 x )/5

Now if he allows 10 % discount then the gain is Rs 150 .

Gain = S.P - C.P

⇒ S.P = Gain + C.P

⇒ S.P = 150 + ( 1000 + 4 x )/5

⇒ S.P = ( 750 + 1000 + 4 x )/5

⇒ S.P = ( 1750 + 4 x )/5

Discount = 10 % of x .

⇒ Discount = 10/100 × x

⇒ Discount = x/10

S.P = M.P - Discount

⇒ ( 1750 + 4 x )/5 = x - x/10

⇒ ( 1750 + 4 x )/5 = 9 x / 10

⇒ 1750 + 4 x = 9 x / 2

⇒ 3500 + 4 x = 9 x

⇒ 9 x - 4 x = 3500

⇒ 5 x = 3500

⇒ x = 3500/5

⇒ x = 700

Can someone please help??? I can’t figure this out. Pleaseeee

Answers

Answer:

120°=1

Step-by-step explanation:

step 1 do 2/1

step 2 cut braket and ans will be 53

HAPPY BIRTHDAY!
You have decided to give your best friend a bag of red
and green marbles for his birthday. Your friend likes
green marbles better than red ones, so the bag has
twice as many green marbles as red. The label on the
bag says it contains a total of 84 marbles.
How many green marbles are in the bag? Write a
system of equations for this problem. Then solve the
problem using any method you like. Be sure to check
your solution

Answers

Answer:

56

Step-by-step explanation:

(84÷3) · 2 = x

28 · 2 = 56

Hope that helps!

White gold is made from gold, palladium, nickel and zinc in the ratio 15:2:2:1. A white gold ring contains 9g of gold. What is the mass of the ring?​

Answers

Answer:

The mass of the ring is 12 grams.

Step-by-step explanation:

Total 20 parts

Gold 3/4 total mass (15/20)

3/4=9g

1/4=3g

4/4=12g

Answer:

mass of the ring = 12 g

Step-by-step explanation:

Given ratio

gold : palladium : nickel : zinc = 15 : 2 : 2 : 1

Add the ratios:  15 + 2 + 2 + 1 = 20

Therefore, as a fraction, gold is [tex]\sf \dfrac{15}{20}=\dfrac34[/tex] of the total mass of the ring.

Let the mass of the ring = x

As the ring containts 9 g of gold

[tex]\sf \implies \dfrac34x=9[/tex]

[tex]\sf \implies x=9 \cdot \dfrac43[/tex]

[tex]\sf \implies x=12[/tex]

Therefore, the mass of the ring is 12 g

comprising 9 g of gold, 1.2 g of palladium, 1.2 g of nickel and 0.6 g of zinc.

Select the correct answer.

which function is continuous across its domain?

Answers

Answer:

B

Step-by-step explanation:

THIS IS EXPONENTIAL FROM TWO POINTS

If f(x) is an exponential function where f(3.5)=21 and f(6.5)=69, then find the value of f(9), to the nearest hundredth.​

Answers

Answer:

i think the answer is 144

Step-by-step explanation:

ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope

the formula is:

y2 - y1 / x2 - x1

lets substitute

69 - 21 / 6.5 - 3.5

48 / 3

16

f(x) = 16x + b

now we just substitute

btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept

so anyways

f(9) = 16(9)

= 144

How many solutions are there for the quadratic equation?
Y=x^2+12x+36

Show work

Answers

Answer:

1 solution

x = -6

Explanation:

[tex]\rightarrow \sf y=x^2+12x+36[/tex]

[tex]\rightarrow \sf x^2+12x+36=0[/tex]

[tex]\rightarrow \sf x^2+6x+6x+36=0[/tex]

[tex]\rightarrow \sf x(x+6)+6(x+6)=0[/tex]

[tex]\rightarrow \sf (x+6)(x+6)=0[/tex]

[tex]\rightarrow \sf x=-6[/tex]

Hence there is only one solution for this quadratic equation and the value is -6

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

Only one solution present

x=-6

In this figure, ∠1 and ∠2 are located on a line.

Let m∠1=x° and m∠2=(45x)°.

What is the value of x?

Enter your answer in the box.

Answers

Answer:

Your answer would be 100

Step-by-step explanation:

4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100

Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?

Answers

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

What are the linear equations that represent this question?

a + b = 30 equation 1

1.5a + 2.5b = 55 equation 2

Where:

a = movies that are 1.5 hours long

b = movies that are 2.5 hours long

How many movies are 2.5 hours long?

Multiply  equation 1 by 1.5

1.5a + 1.5b = 45  equation 3

Subtract equation 3 from 2

1b = 10 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

ILL GIVE BRAINLIST THING IF YOU HELP PLEASE QUICK

Answers

Answer:

B and C are wrong

B: 7.89 x 10^-4

C: 3.15 x 10^2

Step-by-step explanation:

B is not written correctly. The purpose of scientific notation is to get rid of the decimal places with 0s. So instead of 0.789, it should be 7.89 x 10^-4

C is wrong, it should be 3.15 x 10^2



Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
In the equation n+5 - n- 10 = 1the value of n is

Answers

Answer:

No Solution

Step-by-step explanation:

If you grouped like terms, you would get [tex]n+(-n)+5-10=1[/tex]

Both n's would cancel each other out.

I hope this helps! (If it's wrong, then tell me, I'll try to find the correct answer...)

Joel has 24 sports trophies. Of the trophies 1/8 are soccer trophies. How many soccer does Joel have ?

Answers

Answer:

We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.


1/8 of 24 is 3.

24 divided by 8 = 3 soccer trophies

There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

f(x) = 3x - 2x - 5

Factoring quadratics

Answers

Answer:

[tex](3x -5)(x+1)[/tex]

Step-by-step explanation:

Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]

Evaluate the function for the given value of x.

Answers

Answer:

f(-6)= -41 923

Step-by-step explanation:

f(-6)= -( -6)⁶ +5(-6)⁴+8(-6)³+2(-6) -7 you substitute x with -6 the you use a calculator which will then give you - 41923

A small bag of chips contains 0.3 of a cup of sugar. if a large bag of chips is the same as 6.4 small bags, how much sugar does a large bag contain?

Answers

1.92 it should be you just gotta use multiplication

Solve the system of equations below. Thankyou!

Answers

Answer:

x = - 9

y = 5

Step-by-step explanation:

EQ1 + EQ2

Substitute the value of X in either EQ1 or EQ2

-7y-4x=1.............eqn 1
7y-2x=53..........eqn 2
Add both eqns
-6x=54
x=54/-6
x=-9
Sub for x in eqn 1
-7y-4(-9)=1
-7y+36=1
-7y=1-36
-7y=-35
y=-35/-7
y=5
:x=-9 and y=5
Other Questions
the republican party grew in membership and popularity during the 1930s Why is it important to review the job posting before you complete your resum? to get the address of the company so you can tailor your resum to the position so you can add jobs youve had like that one to find contact information for your resum Erik rides his motorbike 26/23 miles in 23 hour. What is Eriks average speed in miles per hour? Which of these sentences should use para instead of por? A. Voy a caminar por las calles.B. Prefiero trabajar por la tarde.C. Vamos a pagar por hora.D. Voy a la casa por comer 1. Give two reasons why preserving biodiversity is important to humans PLEASE HELP ME!!Preguntas Answer the questions using complete sentences. A qu hora sales de la casa los lunes? 2. Dnde ves peliculas? 3. Cuando quieres bailar, qu msica pones? 4. {'Qu traes a la escuela? Which BEST describes the effect on the respiratory system if the human body did not contain a circulatory system? Is 5.23 * 10 the 8th power in scientific notation? There is no water in the sky when there are no clouds. True or False help pls :( i will help you A person who identifies a question that needs to be studied and designs an investigation to answer it the mccormick reaper was an important invention becuase it: explain why the civil rights protesters never sought help from the police PLEASE help with this question guys A group of students is writing a phone message app to provide better word suggestions based on the context of the word and the words the person used in the past. They will earn an A on the project if their teacher is convinced that their program suggests the correct word at least 54% of the time. The current success rate for this app is 54%. The teacher randomly selects 100 words and finds that the students program correctly suggests 64 of the words. To determine if this data provide convincing evidence that the proportion of correct words is more than 54%, 150 trials of a simulation are conducted. The results are shown in the dotplot. The teacher is testing the hypotheses: H0: p = 54% and Ha: p > 54%, where p = the true proportion of words the app will correctly predict. Based on the results of the simulation, what is the estimate of the P-value of the test? Which word in this excerpt from act II, scene IV, of Shakespeare's Twelfth Night is a reference to a color-changing gemstone, hinting at Orsino's inconsistent nature? CLOWN: Now, the melancholy god protect thee; and the tailor make thy doublet of changeable taffeta, for thy mind is a very opal. I would have men of such constancy put to sea, that their business might be every thing and their intent every where; for that's it that always makes a good voyage of nothing. Farewell. Write a thesis statement stating your position on why success is a direct result of determination/hard work. Anyone here answer my question nah... :( HURRY PLEASE , I WILL GIVE BRAINLIEST FOR CORRECT ANWSER Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anjas claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.