Consider the line y = 3x - 1.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 3)
Find the equation of the line that is parallel to this line and passes through the point (-8, 3).

Answers

Answer 1

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3


Related Questions

Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.

Answers

Answer:

Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36

Part B: x= -1

Step-by-step explanation:

This is how it should have been done.

Step 1: -5+6(6x+6)= 1+6x

Step 2: -5+36x= 36=1+6x

Step 3: 36x+31= 1+6x

Step 4: 36x= 6x-30

Step 5: 30x= -30

Step 6: x= -1

PLEASE GRAPH THIS AND SHOW THE Y AND X INTERCEPT​

Answers

Answer:

I found this : graph the inequality by finding the boundry line, then shading the appropriate area

8 > 10p^2h-8c/5   (draw a line under the >)

Step-by-step explanation:

slope -3/4 and y-intercept 9.​

Answers

Answer:

The equation would be:

Y=-3/4 + 9

Step-by-step explanation:

Hope it helps.

This is worth 20 points.

Find the slopes of segments CS and KP, and then determine whether they are parallel, perpendicular, or neither.

C(−6, −7),

S(−3, −5),

K(3, 3),

P(9, 7)

Answers

Answer:

CS M=2/3 , KP M=2/3

Step-by-step explanation:

Neither because, they have the same slope but CS is negative so, the slopes are in a line.

I need help T-T hehehehehehehe

Answers

Ummmm... Chicken nuggets??

Answer:

hehhehhe what the other guy said lol 10+9=21

Suppose we are given the following.
Line 1 passes through (-1, 4) and (-3, -2).
Line 2 passes through (-1, -2) and (0, 1).
Line 3 passes through (-6, -3) and (3, -6).
(a) Find the slope of each line.
Slope of Line 1 =
Slope of Line 2 = 0
Slope of Line 3 =
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel Perpendicular Neither
Line 1 and Line 3: Parallel Perpendicular Neither
Line 2 and Line 3: Parallel Perpendicular Neither

Answers

Answer:

Slope of line 1 = 3

Slope of line 2 = -3

Slope of line 3 = -1/3

Line 1 and 2 = perpendicular

Line 1 and 3 = perpendicular

Line 2 and 3 = perpendicular

Step-by-step explanation:

trust me its correct

pls mark me as brainliest

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)

Answers

Answer:

yes because 422+ 562= 70

The answer is b



That’s the answer

Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400

Answers

Answer:

35 years

Step-by-step explanation:

A= P(1 + r)^n

A= $8400

r= 3%

n= ?

P= $3000

8400 = 3000(1 + 0.03)^n

8400/3000 = (1 + 0.03)^n

log2.8 = log (1.03)^n

log 2.8 = nlog 1.03

n=log 2.8/log 1.03

n= 35 years

is the correct rate 1.20$ per hotdog?

Answers

Answer:

true

Step-by-step explanation:

Which values from the given replacement set make up the solution set of the inequality? 2b≥6;

A) { 3, 4}

B) {2, 3, 4}

C) {1, 2, }

D) {1, 2, 3}

Answers

The answer is A because the variable can’t be no lower than 3 and every other answer has 2 in it. 2•(3) is equal to 6 and 2•(4) is greater than 6 which correlates with the sign (greater than or equal to).

Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3

Answers

Answer:

(6,2)

Step-by-step explanation:

because math

what is x divided by 2= 4.5 Pls help with this.

Answers

Answer:

9

Step-by-step explanation:

9/2= 4.5

can someone help me plz
i need #6,7,8

Answers

7. subtract 3

x=(-2)

x=2

8. 8c-4=20

add 4

8c=24

divide 8

c=3

9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]

what is 5 times (2+8)+(12-6/3)times2

Answers

Answer:

5(2+8)+(12-6/3)2

5(10)+(12/1-6/3)2

50+(36/3-6/3)2

50+(30/3)2

50+60/3

50+20

70

Step-by-step explanation:

Answer: 70

If the equation is  [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]

[tex]5*10+(12-2)*2[/tex]

[tex]5*10+10*2[/tex]

[tex]10(5+2)[/tex]

[tex]10*7[/tex]

Answer: 70

Please mark brainliest if correct :)

PLEASE HELP ASAP I FORGOT HOW TO DO THIS!

Answers

Answer:

its A

Step-by-step explanation:

Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3

Answers

Answer:

M=-1/3

Y=-1/3x + 4

HELP PLZZZZ
1.) is 67.95 an integer

2.) is 54/9 an integer

3.) is 19 an integer

4.)is 544.88 an integer

5.) is 7/6 an integer

Answers

Answer:

Step-by-step explanation:

no

no

yes

no

no

an integer is a whole number positive or negative or zero.

... ,-3,-2,-1,0,1,2,3,... are integers.

Answer:
1. Not an integer
2. Not an integer
3. Is an integer
4. Not an integer
5. Not an integer

What is a irrational number between 9.6 and 9.7

Answers

Irrational = cannot be expressed as a fraction
It would be 9.66266227228, since it couldn’t be expressed as a fraction

Please help me I am stressed it is ratio tables

Answers

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

Please help thank you!!!

Answers

Acute scalene I remember from 2nd grade

HELP ME

please help me :,(

algebra
what are the roots, and y intercept of g (x)?

f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)​

Answers

Answers:

Roots of g(x) are: -1, -6, 1, -4

Y intercept of g(x) is:  24

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

Explanation:

Part 1) Finding the roots of g(x)

To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.

f(x) = (x-2)(x+3)(x-4)(x+1)

0 = (x-2)(x+3)(x-4)(x+1)

(x-2)(x+3)(x-4)(x+1) = 0

x-2 = 0  or  x+3 = 0  or  x-4 = 0   or  x+1 = 0

x = 2  or  x = -3   or   x = 4   or   x = -1

Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.

Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.

The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).

The four roots of g(x) are:  -1, -6, 1, -4

------------------------------------------------

Part 2) The y intercept of g(x)

Let's plug x = 0 into g(x) to see what happens

g(x) = -f(x+3)

g(0) = -f(0+3) ... replace every x with 0

g(0) = -f(3)

We don't know f(3) yet, but we can plug x = 3 into f(x) to find out

f(x) = (x-2)(x+3)(x-4)(x+1)

f(3) = (3-2)(3+3)(3-4)(3+1)

f(3) = (1)(6)(-1)(4)

f(3) = -24

Therefore,

g(0) = -f(3)

g(0) = -(-24)

g(0) = 24

The y intercept of g(x) is 24.

the product of -3/4 and a number x is -27. on writing the equation and solving it x=

Answers

Answer: -3/4*x=-27

x=36

Step-by-step explanation:

-3/4*x=-27

Divide on -3/4 on both sides:

-3/4/-3/4*x=-27/-3/4

x=36

solve using substitution method.

y=5,696x+25)
y = 9.49(x+6)

please help i answered but i just want to make sure it’s correct!

Answers

Answer:

y=56.9933034497, x=.00561680186

Step-by-step explanation:

x = 7x - 5 = 2x + 5​

Answers

Answer:

X = 10/9

Step-by-step explanation:

7x - 5 = 2x + 5

7x - 2x = 5 + 5

9x = 10

X = 10/9

Brainliest 5 stars Thanks!

Answers

It is 3x^3+2x+5 because once you divide it out you get that

help pls i’ll give out extra points

Answers

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

what is 2x=9 I need help asap plzzzzz

Answers

Answer:

4.5

Step-by-step explanation:

2x=9

x=9/2

 =4.5

Answer:

x = 4.5

Step-by-step explanation:

[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]

Hope this helps.

withdraws ​$ from bank account once each day for days. What integer represents the change in the amount in the​ account? Use pencil and paper. Find the integer that would represent the change in the amount in the account if deposits ​$ into bank account once each day for days. Explain the difference between the integer for the withdrawals and the integer for the deposits.

Answers

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

I need help on this, I don't get this

Answers

Answer:  x = 4

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

Work Shown:

Isolate y in the first equation

2x+y = 5

y = 5-2x .... subtract 2x from both sides

y = -2x+5

Then plug this into the other equation

-3x - 5y = 3

-3x - 5( y ) = 3

-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5

-3x + 10x - 25 = 3 .... distribute

7x-25 = 3

7x = 3+25 .... adding 25 to both sides

7x = 28

x = 28/7 .... divide both sides by 7

x = 4  is the answer

-------------------------------------

Optional Section:

Use this value of x to find y

y = -2x+5

y = -2(4)+5

y = -8+5

y = -3

Then we can check our answers by plugging them into the original equations

2x + y = 5

2(4) - 3 = 5

8 - 3 = 5

5 = 5

That confirms the first equation. Repeat for the second equation

-3x - 5y = 3

-3(4) - 5(-3) = 3

-12 + 15 = 3

3 = 3

We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.

Graphing the two original equations will show that they intersect at (4, -3).

Marisa has studies 1 1/2 hours today.That is 3/10 of the time ahe plans on studying today.How long does Marisa plans on studying today? Need help!!!!!

Answers

Answer:

Marrisa plans on studying for 5 hours today!

Step-by-step explanation:

1.5 hours =  (3/10) of X    ...... where X is the "number of hours she plans on studying today" and OF means to multiply....

so..... 1.5 = (3/10)X

then you will solve for X!  

Multiply by 10 on both sides and you get:   15= 3X

then divide by 3 on both sides and you get your answer!   5 = X

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