A line is perpendicular to y = -x + 1
and intersects the point (-5,1).
What is the equation of this
perpendicular line?

A Line Is Perpendicular To Y = -x + 1and Intersects The Point (-5,1).What Is The Equation Of Thisperpendicular

Answers

Answer 1

Answer:

y = 5x + 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{5}[/tex] x + 1 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{5} }[/tex] = 5 , thus

y = 5x + c ← is the partial equation

To find c substitute (- 5, 1) into the partial equation

1 = - 25 + c ⇒ c = 1 + 25 = 26

y = 5x + 26 ← equation of perpendicular line


Related Questions

Aria borrowed some money from her friend in order to help buy a new video game
system. Aria agreed to pay the friend back some amount every week until her loan
was paid off. An equation representing the amount Aria owes her friend after t weeks
is L = -25t + 100. What is the x-intercept of the equation and what is its
interpretation in the context of the problem?

Answers

Answer:

t is the x-intercept

and it represents the weeks

Step-by-step explanation:

Answer: 4 is the x intercept for the number of weeks until loan is paid off

Step-by-step explanation:

If the perimeter of a rectangle is 34 cm and the area is 60 square cm, then what are the dimensions of the
rectangle?

Answers

Answer: 12 by 12  by 5 by 5

Step-by-step explanation: 12*5 = 60

12+12+5+5

=34

PROBLEM SOLVING The profit P (in millions of dollars) for a shoe manufacturer can be modeled by P= -21x3 + 46x where x
is the number (in millions) of shoes produced. The company now produces 1 million shoes and makes a profit of $25 million, but it
would like to cut back production. What lesser number of shoes could the company produce and still make the same profit?

Answers

Answer:

Step-by-step explanation:

at 700,200 shoes there is also a 25 million dollar profit

Is it true that Terms with no variables are like terms?

Answers

Answer:

yes

Step-by-step explanation:

What is the solution to -(6 m + 8) = 4(17 - m)?

Answers

Answer:

m=-38

Step-by-step explanation:

The answer is m 38. hope this helps

please can someone help me with this?

Answers

Point A is at (0,0). This is the origin.

To move to A'(5,2), we will do two things:

shift 5 units to the rightshift 2 units up

This will have (0,0) move to (5,2).

Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.

If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.

On a trip last summer, I used 20 gallons of gas to travel 600 miles. At this rate, how much gas
would I need to go 1500 miles?

Answers

Answer:

45,000

Step-by-step explanation:

You should divide 20 by 600 to see how many miles he would run per mile

and you take 30 x 1,500 to get your answer

A card is drawn from a
standard, well-shuffled
deck of 52 cards.
What is the probability that
it is a face card (J, Q, or K)?

Answers

12/52
3*4 = 12
there’s 52 cards in total

What is a secure line of credit?
A)A line of credit offered only to individuals with excellent credit ratings.
B)A line of credit offered to a business or corporation.
C)A line of credit backed by the government.
D)A line of credit backed by collateral.

Answers

Answer:

It's D. A line of credit backed by collateral.

Step-by-step explanation:

Just took the test and got it right.

the secure line of credit is:

D)A line of credit backed by collateral.

What is Collateral?

Collateral is an item of value pledged to secure a loan. Collateral reduces the risk for lenders. If a borrower defaults on the loan, the lender can seize the collateral and sell it to recoup its losses. Mortgages and car loans are two types of collateralized loans.

A revolving loan that can be utilized for any purpose is known as a line of credit (LOC). Up to a maximum amount determined by the lender, the borrower may draw from the line of credit at any moment, pay it back, and then borrow again.

There are substantial variations between secured and unsecured lines of credit, including the interest rate that the borrower must pay.

Collateral, such as a house, serves as the guarantee for a secured line of credit.One example of an unsecured line of credit is a credit card, which is not backed by any assets.Because it is riskier for lenders, unsecured credit always has a higher interest rate.

Therefore, the secure line of credit is:

D)A line of credit backed by collateral.

Learn more about collateral here:

https://brainly.com/question/6779619

#SPJ6

What type of lines are coplanar and do not intersect?
A) Parallel
B) Perpendicular
C) Segments
D) Transversal

Answers

Answer:

A(parallel

I hope this helps you

Before Cam broke his right arm, he was able to type 9 words per minute on his phone. After he broke his arm, he had to use his left hand for a while, and he could only type 6 words per minute. What is the difference between the number of words he could type in 5 minutes before and after he broke his arm.

Answers

Answer:Before he broke his arm: 45 words in 5 minutes

After he broke his arm: 30 words in 5 minutes

9*5=45 6*5=30

Hope this helps... mark as Brainliest plz

Step-by-step explanation:

Five friends decided to get together to bake cookies for a fundraiser. In total, they baked 144 cookies and packaged them in dozens. How many packages of cookies did they bake?

Answers

All you have to do is 144/12=12 so therefore there are 12 packages of cookies they had to bake for a fundraiser.

.........................................................I am d u m b

Please do it I don’t know how to

Answers

Answer:

Step-by-step explanation:

I'm that's hard to do

-
What is the slope of the line Perpendicular to y = -x- 10
-4
04
o
o Zero
Need help

Answers

Answer:

A. -4

Step-by-step explanation:

Perpendicular lines have negative slopes

so you would have to flip the fraction and change the sign

so 1/4x = -4/1x or -4x

simplify fully: (9(x+7)^2)/(3(x-1)(x+7))

Answers

Step-by-step explanation:

9(x + 7)² divided by 3(x - 1)(x + 7)

= 3(x + 7)/(x - 1).

PLEASE HURRY

Which equation has only one solution?
O-5|=-1
O6-2x| =8
O 5x+ 10| =10
O-6x+ 3| = 0

Answers

Answer:

D

Step-by-step explanation:

|-6x+3|=0

-6x+3=0

-6x=-3

x=-3/-6

x=1/2

Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent one-fifth of the re mb ainig money on a video game. Which expreesion represents the amount he spent on the video game _,_,_,_

Answers

The question is incomplete.

Complete Question

Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?

(0.20 - 10) dollars

(0.20 - 50) dollars

(0.160 + 10) dollars

(0.160 - 10) dollars

Answer:

(0.160 - 10) dollars

Step-by-step explanation:

Let the total number of earnings be represented by d

Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank

Amount in the bank = 20% of d = 0.20d

He paid back $50.00 to his father.

The amount left = 1d - 0.20d = 0.80d

He paid back his father

Hence:

= (d - 0.20d) - $50

= 0.80d -$50.00

He spent one-fifth of the remaining money on a video game.

The amount remaining

= 0.80d -$50.00

Hence, the amount he spent on video games =

1/5(0.80d - $50.00)

(0.16d - $10.00)

= (0.16d - 10)

= (0.16 - 10) dollars

Im supposed to solve this equation using logarithms but I don't know how.

Answers

Given:

[tex]3(4^x)=5^(x+1)[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]3(4^x)=5^(x+1)[/tex]

It can be written as

[tex]3((2^2)^x)=5^(x+1)[/tex]

[tex]3((2^{2x})=5^(x+1)[/tex]      [tex][\because (a^m)^n=a^{mn}][/tex]

Taking log on both sides.

[tex]\log [3((2^{2x})]=\log 5^(x+1)[/tex]

[tex]\log 3+ \log ((2^{2x})=\log 5^(x+1)[/tex]        [tex][\because \log (ab)=\log a+\log b][/tex]

[tex]\log 3+ 2x\log 2=(x+1)\log 5[/tex]      [tex][\because \log x^n=n\log x][/tex]

Putting values of logarithms, we get

[tex]0.477+ 2x(0.301)=(x+1)0.699[/tex]      [tex][\because \log 2 =0.301, \log 3=0.477, \log 5=0.699][/tex]

[tex]0.477+ 0.602x=0.699x+0.699[/tex]

[tex]0.602x-0.699x=0.699-0.477[/tex]

[tex]-0.097x=0.222[/tex]

Divide both sides by -0.097.

[tex]x=\dfrac{0.222}{-0.097}[/tex]

[tex]x=-2.288656[/tex]

[tex]x\approx -2.289[/tex]

Therefore, the value of x is -2.289.

The distance AB rounded to the nearest tenth = [ ? ]

Answers

Answer:

4.5 units

Step-by-step explanation:

To get the distance we need the coordinates of the points

A is ( 3,1)

B is (-1,-1)

Let A be (x1,y1) and B be (x2,y2)

So applying the formula, we have the distance as;

D = √(-1-3)^2 + (-1-1)^2

D = √(16 + 4)

D = √20

D = 4.5 units

Allison can sew three scarves in 75 minutes how many scarves can she sew in 4 hours?

Answers

Answer: 9

Step-by-step explanation:

I think this is the answer based off a estimate

Someone please help me!

Answers

4.1 KM I think but I could be wrong but I’m pretty sure it’s 4.1

Simplify: 3(2x+7)-2(x+5)

Answers

Answer:

=4x+11

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

3(2x+7)-2(x+5)

6x + 21 - 2x - 10

combine like terms

4x - 11

Hope this helps!!

Which ordered pair is a solution of the equation?
y = -6x+1

Answers

Answer:

2,-11

Step-by-step explanation:

create an x/y table and plug in #s for ordered pairs

-6x + 1 = y [plug in 2 for x]

-12 + 1 = -11 [ordered pair is 2, -11]

Answer:

Both (-2, 13) and (-1, 7)

Step-by-step explanation:

Got it from Khan

I dont understand this can someone plz explain.
the answer is A but how is it A?

Answers

Answer:

Step-by-step explanation:

here is what I think logically is going on.. and does this happen to be some kind of computer sciency class question?  b/c this seems like a primer for Boolean logic.. ask your teacher that question  :D  .. see if he knows :P anyway.. soooo  by subtracting 4 reds.....

R R B B B  our starting chips ( the letters represents the the chips below)

OOOOO    subtracting one red changes the next black to a red.. I think

R R R B B   (-1)

OOOOO subtract one more red changes the next black to a red

R R R R B   (-2)

OOOOO  subtract one more red

R R R R R  (-3)

OOOOO subtract one more and they all fip ..

B B B B B (-4)

OOOOO

This is a bit like a binary counter.. :/ why are you learning this :D

help is much appreciated!!

Find the value of T.

A. 12 B. 5 C. 4 D. 16

Answers

A because
The value
Of t
Is going
To be
12

Solve the equation: [tex]5^x^(^x^-^1^)=1[/tex]

Answers

The concept:

We are given the equation:

[tex]5^{x(x-1)} = 1[/tex]

Which can be simplified as:

[tex]5^{x^{2} - x} = 1^{1}[/tex]

Since any number to the power '0' is 1

x² - x must be equal to 0 for the given equation to be true

Solving for x:

x² - x = 0

x(x-1) = 0

now, we can divide both sides by either x OR x-1

So we will see what we get for either choice:

x = 0/(x-1)                           x-1 = 0/x

x = 0                                  x = 1

Hence, the value of x is either 0 or 1

2) A big league pitching coach tries to limit his pitchers to 110
pitches per game. If the pitcher has already thrown 52
pitches, write and solve an inequality to find how many more
pitches he can throw before reaching the limit.

Answers

P is less than or equal to (<) 110-52 you want to use the < sign with a line under it. The minus 52 is because he has already thrown 52 out of his 110 and P is how many pitches he is alloted


Is (3,4) a solution to the system of
equations.
X + y = 7
x - 2y = - 5

Answers

Answer: Yes, the point (3,4) is a solution to the system.

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

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

An exercise bike increased in price from $415 to $498 find the percent increase in the cost of the exercise bike

Answers

Answer:

20%

Step-by-step explanation:

((498/415)-1)*100

= (1.2-1)*100

= 0.2*100

= 20

Write a polynomial function of least degree with real coefficients in standard form that has the given zeros. –2, –4, –3 + 4i

Answers

Given:

Zeroes of a polynomial are –2, –4, –3 + 4i.

To find:

The polynomial function of least degree with real coefficients in standard form.

Solution:

According to the complex conjugate root theorem, if a complex number a+ib is a zero of a polynomial, then its conjugate a-ib is also a zero of than polynomial.

–3 + 4i is zero of the polynomial. So, by complex conjugate root theorem -3-4i is also a zero of required polynomial.

If c is a zero of p(x), then (x-c) is a factor of p(x).

–2, –4, –3 + 4i, -3-4i are zeroes of the polynomials. So, (x+2), (x+4), (x+3-4i), (x+3+4i) are the factors of the required polynomial.

Let the required polynomial be p(x), so

[tex]p(x)=(x+2)(x+4)(x+3-4i)(x+3+4i)[/tex]

[tex]p(x)=(x^2+4x+2x+8)((x+3)^2-(4i)^2)[/tex]    [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16i^2)[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16(-1))[/tex]    [tex][\because i^2=-1][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9+16)[/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+25)[/tex]

[tex]p(x)=x^2(x^2+6x+25)+6x(x^2+6x+25)+8(x^2+6x+25)[/tex]

[tex]p(x)=x^4+6x^3+25x^2+6x^3+36x^2+150x+8x^2+48x+200[/tex]

Combining like terms, we get

[tex]p(x)=x^4+(6x^3+6x^3)+(25x^2+36x^2+8x^2)+(150x+48x)+200[/tex]

[tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex]

Therefore, the required polynomial is [tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex].

Other Questions
if your a single boy look at the pic below Divide: 6 -{4}{5}. 14 Divide 2+3(4)-(61/2-3) Plis help me first one to reply gets brainless Which words does Lowell use to describe the effect of the snow in "The First Snowfall"?A. softened, hiding, healingB. ridged, stiff, leadenC. mound, scar, woe Read the following passage and Fill in the right tense. (10 marks: 1 mark/each)I (1)____________ (walk down) the street when I saw this man I thought I knew. I probably (2) ____________ (not recognize) him if he (3) ____________ (not smile) at me, but I would know that smile anywhere. Chris! I (4) ____________ (not see) him since I left college. It is funny. We used to go out together at college, and I thought he was quite serious about me, but he never (5) ____________ (say) anything. I sometimes wonder what I (6) ____________ (say) if he (7) _____________ (ask) me to marry him. I would probably have said yes, and then things (8) ____________ (be) so different for both of us. Anyway, whats past is past. We said goodbye and (9) ____________ (promise) to keep in touch, but I dont suppose we (10) ____________ (see) each other again. TASK 3: Read about conditional tenses (If clauses) and you complete the following activity: Complete the text below with the appropriate CONDITIONAL FORM using the words in parentheses. / 10 Marks After I graduated from university, I applied for a marketing position with a prominent bank with branches all over the world. I didn't get the job because they wanted someone who spoke Spanish fluently. I (could, take) (1).............................................Spanish in high school, but I didn't. I took an acting class instead. If I (take) (2).............................................Spanish, I (get)(3).............................................the job. Just imagine, if I had actually gotten the job, I (move)(4).............................................to Spain. My entire life (could, go) (5) ........................................in a totally different direction. If I had accepted the job and moved to Spain, I (might, meet)(6).............................................a Spanish woman and (get) (7)..........................married. If that had actually happened, I probably (stay) (8)........................... ..................in Spain. We (might, have)(9).............................................children. Unfortunately, I didn't get the job and I didn't go to Spain. I got a boring job and I live alone. If I had just taken Spanish, my life (be)(10)........................................ much more interesting. a car of mass 1500kg collides with a wall. the initial and final speed of the car is -15m/s and 2.6m/s. if the collision last for 0.15 seconds. find the impulse caused by the collision and the average force on the car was difficult to break. Prompt: In your opinion, how does the global society suffer when children are forced to work, particularly in hazardous working conditions? Your response should be 2-3 paragraphs with correct spelling, grammar, and punctuation. Include an opinion statement in your first paragraph. help mee pleaseee this doesnt even make sense lol What are m and b in the linear equation, using the common meanings of m and b?1 + 4x + 6 - x = y Here it is ;-;Felix is distracting meeee Being a bullfrog, Lilly is good at hopping. She can hop 9 inches with each hop! Howmany hops will it take for her to hop across a sidewalk that is 60 inches wide?7865 This equation represents an unbalanced chemical reaction:Nal + Cl2 NaCl + 12When the equation is balanced, which coefficient should be placed before NaCl? For the following reaction,use the identity of the alkyl halide and nucleophile to determine which substitution mechanism occurs.Then determine which solvent affords the faster reaction.A) SN1,H2OB) SN1,DMFC) SN2,H2OD) SN2,DMF Work out 1 2/3x 1 1/5 Which of the following does NOT show an identity property?2 + 1 = 35 1 = 53 0 = 34 1 = 4 Stephanie and Jill share a reward of $65 in a ratio of 1 : 4. How much does Stephanie get? how many times can 15 fit into 25 A software is made from Experimental data are collected as: x[100]={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100}; y[100]={-92.3973,14.0677,98.9626,49.6151,111.88,-38.7967,52.1535,-101.325,65.6111,125.129,151.762, -123.132,-41.8744,-39.3356,-99.7856,-128.881,58.5477,-111.692,-75.3057,4.4723,-100.051,169.051, -15.6953,58.3125,147.346,10.9835,42.3421,166.697,-105.534,-90.2199,151.189,130.022,-8.1448,-51.3493, 164.427,119.154,-99.2704,155.986,133.212,118.035,13.1819,139.678,81.5178,-12.4377,-11.7671,146.627, -25.787,107.25,19.8867,15.6437,112.871,122.552,8.42037,-10.1364,146.682,178.531,203.565,-70.7871, 171.256,-50.6232,193.836,-34.7733,-68.9564,25.3423,75.6537,21.5484,46.5259,-64.22,-13.5792, 74.9213,-26.6872,30.5302,169.534,-36.7224,65.4419,113.978,68.1137,181.414,127.76,145.447,75.5486, 164.201,169.504,110.07,96.713,114.974,155.46,2.72803,-59.9407,13.426,29.9344,-11.052,176.639, 162.505,-18.3784,184.418,234.104,127.227,145.18,0.440172}; Obtain the regression line in the form of y = a x + b. Steam Workshop Downloader