Consider the following equation

3x + 9y = 8y - 2

Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.

Answers

Answer 1

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3


Related Questions

A ratio of 2 gray chips for every 5 pink chips is equivalent to a ratio of ? pink chips for every 18 gray chips?

Answers

2 x 9 = 18 so 5 x 9 = 45 so for every 18 gray chips there are 45 pink chips. Also 2/5 is equivalent to 18/45

Help me solve this problem and explain to me please

Answers

The answer would be 3 and 2. Complementary means when you add two angles together, they equal 90° or a right angle.

A manufacturer with exclusive rights to a sophisticated new industrial machine is planning to sell a limited number of the machines to both foreign and domestic firms. It is estimated that if the manufacturer supplies machines to the domestic market and machines to the foreign market, the machines will sell for −+ thousand dollars apiece domestically, and for +− thousand dollars apiece abroad. If the manufacturer can produce the machines at the cost of $ apiece, how many should be supplied to each market to generate the largest possible profit?

Answers

Answer:

Supply all machines to the which ever market provides the highest price.

what is -6 × -4m × m4 ??​

Answers

Answer:

21.

Step-by-step explanation:

Point A is located at (4,0) and is reflected in the x-axis. What are the coordinates of point A'?
O (0,4)
0 (0,-4)
O 1-4,0)
O (4,0)

Answers

Answer:

(4,0)

Step-by-step explanation:

Can y’all help me on question 16?!

Answers

600kb in 24 seconds to find out how many kbs per second divide by 24
600/24 is 25kb

Choose all of the statements that are true about AABC.

Answers

Answer:

Step-by-step explanation:

sin(62°) = 25/BA

BA = 25/sin(62°) ≈ 28.3

Angle BAC = 180°-90°-62° = 28°

BC = √((BA)^2-(AC)^2) = 13.3

cosC = 0

Answer:

A and D are correct

Step-by-step explanation:

Given ΔABC

∠C = 90°∠B = 62°AC = 25

The options:

A. 25/BA = sin 62° ⇒ BA = 25/sin 62° = 28.3 ≈ 28

Correct

B. ∠BAC = 90° - 62°= 28° ≠ 48°

Incorrect

C. 25/BC = tan 62° ⇒ BC = 25/tan 62° = 13.29 ≠ 18

Incorrect

D. cos(∠ACB) = 0 ⇒ cos 90° = 0

Correct

........................ ​

Answers

Answer:

what do u need help with?

Step-by-step explanation:

Special right triangles pls help!! ​

Answers

Answer:

B

Step-by-step explanation:

The answer is d i think

Find two numbers whose sum is 44 and whose difference is 6.
smaller number
larger number

Answers

x+ y = 44
x - y = 6
—————
2x = 50

x = 25
y = 44-x = 19

Which equation has the solution X = 2?

Answers

Answer:

B

Step-by-step explanation:

B: 3x + 2 =8

The first step to solving for X is isolating the variable, so we subtract 2 from both sides!

3x=6

Now we divide both sides by three to isolate the X:

X=2

i hope this helps!

pls give thx, and brainliest ;)

PLEASE HELLLLPPPPPPPPPPPPP
Find the Value of x (I attached pic)

Answers

Answer:

120°

Step-by-step explanation:

Which of the following represents 10 1/2 as a decimal?

Answers

Answer:

10.5

Step-by-step explanation:

10 1/2 = 10.5

Answer:

Its 10.5

Step-by-step explanation:

The ten is a whole number and .5 is 5/10 or a half.

Have a great day.

Which ones match together plz help.

Answers

it won’t let me actually put them but i’m trying

1. x+2<20
2. x-2<20
3. 2x<20
4. 1/2x<20

Answer quick pls I need help

Answers

Answer:

1. 0.33

2. the cost per ounce

3. that everytime you go up an ounce, it will cost 0.33 more

4. y = 0.33x + 0.33

Step-by-step explanation:

hiiiiiii im soooooooo tired but i gotta clean my room lol

Answers

Answer:

lol

Step-by-step explanation:

Answer:

lol. How are you doing today?

83% of ____=75.53 this is for my math ixl

Answers

Answer:

83% of 91 = 75.53

What decimal is equivalent to Two-tenths?

Answers

Answer:

and example hope it helps

Answer:

0.2

Step-by-step explanation:

Two tenths = [tex]\frac{2}{10}[/tex] = 0.2

**50 pts**I mark brainliest**

M<2=34 degrees. find m<4 and explain how you know.

Answers

Answer:

angle 4 = 34 degrees

Step-by-step explanation:

angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.

Answer:

34

Step-by-step explanation:

<1+<2=180° because these are neighbour angle

X+34=180

X=146

Then you can apply the left side

X+146=180

X=34

Diego buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 8 sugar cookies and 8
oatmeal raisin cookies. What is the probability that Diego randomly selects a sugar cookie from the bag, eats it, then
randomly selects another sugar cookie? Express your answer as a reduced fraction,

Answers

Answer:

POGGERS

Step-by-step explanation:

KEKW

7 miles
Which rate can you set Thour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
7 hours
O ? miles
49 hours
o ? miles
? miles
7 hours
2 miles
49 hours

Answers

Answer:

49×7=x

x=343 miles

Step-by-step explanation:

49hours×7mph=343miles

Area of a parallelogram = b•h
What is the base of a parallelogram with an area of 48 and a height of 6?

Answers

Answer:

area of parallelogram =b×h

48cm²=b×6cm

48cm²/6cm=b

8cm=cm

What quadrant is point (-9,2) located in?​

Answers

The point is located in quadrant 2

5/4 x 3/8 =????
Pls answer i need help

Answers

Answer:

The answer is 15/32

Step-by-step explanation:

5/ 4

×  

3/ 8

=  

5 × 3

4 × 8

=  

15/ 32

Answer:

5/4×3/8

Step-by-step explanation:

12/32 or 12²¹/12

Write the ratio men to women in its simplest form

Answers

Answer:

7:8

Step-by-step explanation:

men: women

70:80

7:8

Answer:

7 : 8

Step-by-step explanation:

Total number of adults in the survey = 150

Number of women = 80

Number of men = 150 - 80

                           = 70

Ratio of men : women = 70 : 80

                                     = 70 /80

                                     = 7 / 8

                                     = 7 : 8

Hope it helps :)

Please mark my answer as the brainliest

1) Sam bought a soft drink for 4 dollars and 7 candy bars. He spent a total of 39 dollars. How much did each candy bar cost ? ​

Answers

We first have to separate of the soft drink cost from the total.

39 - 4 = 35


35/7 = 5


Each candy bar cost $5. (Jeez, that’s expensive)


Hope it helped

Can someone help me :/ it’s due today. I’ll give extra points


The bottom one is dab=dcb

Answers

Answer:

The answer is A, B, C, D, E

ALL OF THEM ARE CORRECT!!!

Step-by-step explanation:

ASAP PLEASE!!!!!!! ILL DO ANYTHING!!!
A manager increased the hourly pay for three employees.

Carlie’s hourly rate, which used to be $9 per hour, increased by 6%.

Allison’s hourly rate, which used to be $8 per hour, increased by 9%.

Gabriele’s hourly rate, which used to be $11 per hour, increased by 5%.

Order the hourly rates from least increase in pay to greatest increase in pay.

Answers

Answer:

Allison, Carlie , Gabriele ($8.72, $9.54, $11.55)

Step-by-step explanation:

Carlie's 9+6%= $9.54

Allison's 8+9%= $8.72

Gabriele's 11+5%= $11.55

Need help with number 3a and 3b ?

Answers

Answer:

4 and 4.1

Step-by-step explanation:

because sqrrt17 is about 4.123 (memmorized) and it's rounded down to 4 and down to 4.1

Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more field trips? Show your work. How many students is 10%​

Answers

Answer:

480 students want more field trips.

60 students is 10%.

Step-by-step explanation:

There are 600 students, and 80% want more field trips.

80% of 600 is 0.8*600 = 8*60 = 480 students.

480 students want more field trips.

How many students is 10%​?

10% of 600 is 0.1*600 = 60*1 = 60

60 students is 10%.

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