A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).

y -(-8) = -6(x - 2)

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8

y = -6x + 20

Explain why the work is not correct.

Answers

Answer 1

Answer:

The student should subtract 8 from each side not add 8

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -8 = -6(x -2)

y+8 = -6(x-2)

Distribute

y+8 = -6x+12

Subtract 8 from each side

y+8-8 = -6x+12-8

y = -6x+4

The student should subtract 8 from each side not add 8

Answer 2

Answer:

y -(-8) = -6(x - 2)

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8 (this step is incorrect as minus into minus is plus therefore when taking 8 to the right hand side we must subtract it from the left hand side

y = -6x + 20

the correct equation would be : y= -6x+4


Related Questions

can someone help me with this question ​

Answers

Answer:

The answer is D, because once you use SADMEP to reduce and reverse the sign for a negative, you get that anwer.

Step-by-step explanation:

MARK BRAINLIEST PLEASE!

A store is instructed by corporate headquarters to put a markup of ​67% on all items. An item costing ​12$ is displayed by the store manager at a selling price of ​8$. As an​ employee, you notice that this selling price is incorrect. Find the correct selling price. What was the​ manager's likely​ error?

please help me in really stuck you would be a huge help

Answers

Answer:

Step-by-step explanation:

12$ = original price (need to add 67% mark up)

12/100 = 0.12 = 1%

0.12 x 67 = $8.04 markup

12 + 8.04 = $20.04 is the correct selling price

the error was accidently not adding the markup ($8.04) to the original price

what is 2(x+3)=x-4 please answer ASAP

Answers

Answer:

-10

Step-by-step explanation:

2x+6 = x-4

2x = x - 4 - 6

2x = x -10

2x -x = x-x - 10

x = -10

Please mark my answer as brainest

i need help ASAP please

Answers

Explanation is in the photo

Determine the place value of the digit 3 in the whole number. 30,500,421

Answers

Answer:

30,000,000 or Thirty million -------> Ten millions place

Step-by-step explanation:

Hope this helps!

quick brainliest asap!! sin^-1 (1.1976) SHOW YOUR WORK so I can see if it makes sense!!

Answers

Answer:

no solutions

Step-by-step explanation:

We want to find [tex]\theta[/tex] such that [tex]\theta=\sin^{-1}(1.1976)[/tex].

We can take the sine of both sides of the equation to get[tex]\sin(theta)=\sin(\sin^{-1}(1.1976))=1.1976[/tex].

We know that the range of the sine function goes from -1 to 1 inclusive, so there is no value [tex]\theta[/tex] such that [tex]\sin{\theta}>1[/tex].

Therefore, the answer is [tex]\boxed{no~solutions}[/tex] and we're done!

30 fortyths into a decimal​

Answers

Answer:

0.3

Step-by-step explanation:

Percent means 'per 100'. So, 30% means 30 per 100 or simply 30/100. If you divide 30 by 100, you get 0.3 (a decimal number). So, to convert from percent to decimal, simply divide by 100 and remove the '%' sign. There is a easy way to convert from percent to decimal: Just move the decimal point 2 places to the left.

Hope this helps :)

pls give brainliest :p

And let me know what you think of my pfp :0

Which benchmark fraction is 6/7 closest to PLZ HELP

Answers

Closer to 1 because it’s nearly a 7/7 which is also known as 1.

or
Adam is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry Hound dog food each day. Adam wants to know how many days he can feed Pickles from a 15-cup bag of Hungry Hound.
Which equation can Adam use to find the number of days d he can feed Pickles from the bag?
Solve this equation for d to find the number of days Adam can feed Pickles.

Answers

Anwser: 5 days
Explanation: 15 divided by 3 equals 5 so he can feed pickles for 5 days from the bag.

subtract 8 from 5 times g

Answers

The algebraic equation formed withthe give information will be: [tex]5 \times g - 8[/tex]

Answer:

5g-8

Step-by-step explanation:

i don't know

have a great day

Use the distributive property to write an expression that is equivalent to 8(7+ X).

56+ 8x
8+ 7x
56+ x
7 + X= 1/8


Answers

Answer:

56 + 8x

Step-by-step explanation:

8(7) + 8(x)

= 56 + 8x


2. Walter bought a 21-pound bag of flour. He used 4.2 pounds of the flour.
He stored the rest of the flour in 2 2/5-pound portions. What is the number
of 2 2/5-pound portions he stored?

Answers

Hi, I did
21-4.2=16.8 left
Since he stored in 2 2/5 portions I converted 2 2/5 to 2.4 and did 16.8/2.4=7 therefore he stored the flour in 7 portions.

Hope this helps !

The cost of a long distance call is $1.25 for the
first three minutes and $.15 for each additional
minute.
1. Which of the following equations gives the total
cost of a phone call, y, in terms of the total number
of minutes, x?
(A) y = 0.15x +1.25
(B) y=1.25.r+0.15
(C) y = 0.15(x-3)+1.25
(D) y =1.25(x-3)+0.15
(E) y = 0.15r+(3–1.25)

Answers

The answer is C because it’s 1.25 for the first 3 minutes and then you subtract those three minutes from your total call time and multiply that by .15

please help me
please I will make you brainliest​

Answers

[tex]\\ \sf\longmapsto a+\dfrac{1}{a}=\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto \left(a+\dfrac{1}{a}\right)^3=\sqrt{3}^3[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+\dfrac{3a^2}{a}+\dfrac{3a}{a^2}=3\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}+3a+\dfrac{3}{a}=3\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\sqrt{3}-3a-\dfrac{3}{a}[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3\left(\sqrt{3}-a-\dfrac{1}{a}\right)[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=3(0)[/tex]

[tex]\\ \sf\longmapsto a^3+\dfrac{1}{a^3}=0[/tex]

Proved

Answer:

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

Tn=a+(n−1)d, where a= First term, d= Difference between terms ... (2)

Equating (1) and (2)

6n+5=a+(n−1)d

6n+5=a+nd−d ..... (3)

Equating n terms:6n=nd

d=6 ...... (4)

Substituting (4) in (3)

6n+5=a+6n−6

5=a−6

a=11 ..... (5)

Now

Sn=2n(2a+(n−1)d)

Sn=2n(a+Tn) ....... (6)

Substituting (1) and (5) in (6)

Sn=2n(11+6n+5) 

Sn=2n(16+6n) 

Sn=n(8+3n) 

The mass of the sun is about 1.98x10^30 kg. The mass of the Earth is about 5.97x10^24 kg. Estimate how many times bigger the mass of the sun than the mass of earth. Round to the NEAREST TENTH!

Answers

Answer:

About 333000 times

Step-by-step explanation:

Find two consecutive integers such that the second is 13 less than twice the first.​

Answers

Answer:14,15

Step-by-step explanation:

X first x+1 second

X+1=2x-13

-×+1.=-×-13

1=×-13

+13=×+13

14=×

Michelle has four credit cards with the balances and interest rates listed below. Rather than budget to pay each of the credit cards off in 36 months, Michelle would like to pay them off one at a time based on the balance for each credit card. In which order should Michelle pay off her credit cards?

Credit Card
Balance
APR
#1
$4,380
17%
#2
$1,365
19%
#3
$2,480
23%
#4
$5,000
15%
a.
1,2,3,4
b.
4,1,3,2
c.
4,3,1,2
d.
1,3,2,4

Answers

Answer:

B) 4,1,3,2

Explanation:

Michele's credit cards have the following balances and APR

Credit Card         Balance       APR

     #1                 $4,380          17%  

     #2                $1,365          19%

     #3                $2,480         23%

     #4                $5,000         15%

If she wants to start paying them off one at a time depending on their balance, she could start by paying the credit card with the highest balance, then continue with the second highest balance and so on. She would pay first her credit card #4, then #1, #3 and finally #2.  

Answer:

b.4,1,3,2

Step-by-step explanation:

edge 22'

A local business rents computer time for a $5 setup charge and $0.30 per minute the computer is used

Write an equation to represent the cost of using the computer for a given amount of
Us
time in minutes. Define your variables.

How much does 30 minutes of computer time cost?

Answers

Answer:

[tex]c = 0.3m + 5[/tex]

define the variables:

c is the cost and m is minutes

It costs $14

Step-by-step explanation:

[tex]c = 0.3m + 5[/tex]

To solve for cost substitute 30 in for m

[tex]c = 0.3(30) + 5[/tex]

multiply

[tex]c = 9 + 5[/tex]

add

[tex]c = 14[/tex]

a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

Answers

Answer:

0.026 m / min.

Step-by-step explanation:

Volume V = π7^2h

V = 49πh

dV/dh = 49π

Rate that the volume is increasing is 4 m3/min.

So dV/dt = 4

dV/dt = dh/dt * dV/dh

4 = dh/dt * 49π

dh/dt = 4/49π

= 0.026 m / min.

The required height of the water increase is given as 0.026 m/min.

Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π  - - - - - - - (1)

Rate of the filling the tank is given,

V/t = 4
V = 4t
Substitute this in equation 1

4t / h = 49π
h / t = 0.026 m/s.

Thus, the required height of the water increase is given as 0.026 m/min.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ5

equivalent to the complex number i^14

Answers

Answer: The powers of i have a repetitive cyclic nature.

When we raise the imagenry unit i to increasing powers, we get a pattern which repeats itself.

Observe the following table of powers of i.

Power of i i1 i2 i3 i4 i5 i6 i7 i8 i9

Simplified i -1 -i 1 i -1 -i 1 i

As you see above, the pattern repeats itself and is four members long.

Therefore, ix+8 ix+4 will equalx.

When asked to determine the value of i to a power higher than 4, we can use this information in order to find our position in the cycle.

So, instead of using the actual power, we can take the remainder of the power divided by 4.

a square's area is 3 times its perimeter. Find the dimensions of the square.

Answers

the length of one side is 12 units

You are asked to create a solution that is 3 parts water and 2 parts bleach. You have 4 liters of bleach. How much water should you add?

Answers

Step-by-step explanation:

If this is 3L water : 2L bleach then this following measures and answers are the answer.

3L:2L

?L:4L

4L/2L= 2L

so therefore

3L* 2L = 6L

so

6L water : 4L bleach

6L water

how much would I make per year if I get 10 dollars every 2 weeks ?

Answers

Answer:

$20,960

Step-by-step explanation:

brainliest?

every 14 days you get payed only 10 dollars?

id say less then 1000

*20 points* 7x + 24 = 2x - 6 How many solutions?

Answers

Answer:

x= -6

Step-by-step explanation:

so i'm thinking 1 solution.

(let me know if i'm wrong)

Answer:

infinitely many solutions.

Step-by-step explanation:

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has

write the equation which represents the following transformations

1. slide right by 5 and up by 3 then reflect over the x axis

2. a vertical stretch by a factor of 3 and translate down by 4 units

Answers

Answer:

1234588765

Step-by-step explanation:

ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.​

Answers

Answer:

56is shjdns djdndjsndnskdvdjdnshdkd

Reflect the point over the y axis. (8, -3)

Answers

Answer:

-8, 3

Step-by-step explanation:

Reflections formula

Y-axis (-x, y)

X-axis (x, -y)

Answer:

   https://scratch.mit.edu/projects/580972810/

Step-by-step explanation:

This website is a link to a Scratch project. It's mine.

I made this because I couldn't do it on Brainly.

This is NOT a scam. I promise.

It will have a tiny purple ball which is the oringinal, and a green one which is the reflected.

It took Valerie 80 minutes to drive 120 miles. Which of the following unit rates expresses how fast Valerie was traveling?
60 miles per hour 70 miles per hour
80 miles per hour 90 miles per hour

Answers

Answer:

90 miles per hour

Step-by-step explanation:

Divide distance by time to get speed.

[tex]\frac{120}{80}[/tex]=1.5 miles per minute

60 minutes in an hour

1.5(60)=90 miles an hour

I NEED THIS ASAP!!!!!

1/2x*x*x*1/2x=360
Solve for x

Answers

Answer:

X to the 4th power = 1440

Step-by-step explanation:

Find the area of the regular pentagon

Answers

Answer:

here

A= 50

B = 62

Step-by-step explanation:

we know that

area of the regular Pentagon is 5/2*A*B

=5/2*50*62

=7750

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