What is an equation of the line that passes through the point (6,1) and is
perpendicular to the line 2x + 3y 18?

Answers

Answer 1

Answer:

y - 1 = 3/2(x - 6)

Step-by-step explanation:

First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.

2x + 3y = 18

3y = -2x + 18        (Subtract 2x from both sides)

y = -2/3x + 6        (Divide both sides by 3)

The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.

Point-Slope Form: [tex]y - y_{1}=m (x-x_{1})[/tex]

y - 1 = 3/2(x - 6)

If necessary, this can also be written in slope-intercept form by solving for y.


Related Questions

Classify this expression based on the number of terms: 4a^2+9ab^2-15b^3. A.Monomial B.Binomial C.Trinomial D.Polynomial

Answers

It is a trinomial because it has 3 terms.

Solve the system of equations. What is the solution?
10x – 4y = 12
5x + 2y = 14

Answers

Answer is 2

Step-by-step explanation:

I have a question. It is: 5x+2y=4 3x+6y=-12 Solve the system of equations by graphing. How do I input that on a Casio graphing calculator. Giving brainliest if it works. Thanks!

Answers

Answer:

Step-by-step explanation:

  [1]    5x + 2y = 4

  [2]    3x + 6y = -12

Graphic Representation of the Equations :

   2y + 5x = 4        6y + 3x = -12  

 

// Solve equation [2] for the variable  y  

 

 [2]    6y = -3x - 12

 [2]    y = -x/2 - 2

// Plug this in for variable  y  in equation [1]

  [1]    5x + 2•(-x /2-2) = 4

  [1]    4x = 8

// Solve equation [1] for the variable  x  

  [1]    4x = 8  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = -x/2-2

// Use the  x  value to solve for  y  

   y = -(/2)(2)-2 = -3  

Willy is creating a garden this is the diagram of willy's garden what is the area of the garden he's going to build. 32ft,26ft,10ft driveway 20ft,7ft garden 14ft.

Answers

Answer:

the answer is 230 ft squared

Step-by-step explanation:

We can solve this by subtracting the area of the driveway from the entire rectangle

The area of a rectangle is , so multiplying 14 by 32, we get 448

Now we need to find the area of the driveway. We can split up the driveway into 2 rectangles, one big rectangle at the left and a tiny rectangle in the upper right.

To find the area of the big rectangle in the driveway, we multiply 10 by 20, getting 200.

To find the area of the tiny rectangle in the driveway, we subtract 20 from 26 to find the length, which is 6.

Now we need to find the width of the tiny rectangle. We can do this by subtracting 7 from 10, getting 3.

Multiplying 6 by 3, we get 18, so the area of the tiny rectangle is 18.

Adding 200 to 18, we get 218, so the area of the driveway is 218 ft squared.

Now we need to subtract 218 from 448.

448-218=230

Simplify this expression 2(10) + 2(x - 4​

Answers

Answer:

12 + 2x

Step-by-step explanation:

2(10) + 2(x - 4)

20 + 2(x - 4)

20 + 2x - 8

12 + 2x

Answer:

-6

Step-by-step explanation:

2(10)+2(x-4)=0

20+2x-8=0

20-8+2x=0

12+2x=0

2x=-12

x=-6

20 POINTS ANSWER QUICK

Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3

Answers

Answer: C is not a mixed number

Complete the operation. Show steps needed
without a calculator.
a) 3.76 + 0.345

Answers

The answer is 4.105 explaining is just adding them and keeping the decimals it place

Answer:

4.105000

Step-by-step explanation:

because you have to add up


Can someone help me with this?

Answers

Answer:

I'm pretty sure it's 1, 2, and 3, but I'm not positive

158.297 rounded each number to the nearest while number

Answers

Answer:

158.3

Step-by-step explanation:


What is 50% of 98 pls

Answers

The answer is 49 :))

Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. Estimate the number of months that Zea can continue this pattern until she reaches her credit limit.

Answers

Fun fact actually really really sad fact i dont know

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

What is a credit card?

A credit card is a method of payment that is given to customers so they may pay a merchant for products and services depending on the debt they have accumulated.

Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125.

The distinction between the installment made and the charges done will be given as,

Difference = $200 - $125

Difference = $75

Partition as far as possible by this distinction to find the number of months that Zea can proceed with this example until she contacts her credit limit.

⇒ $2,000 / $75

⇒ 26.667 ≈ 27

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

More about the credit card link is given below.

https://brainly.com/question/27350251

#SPJ2

Help! brainliest stars and hearts if correct! Please Area and perimeter! Please explain!

Answers

Answer:

Perimeter = 14 in

Area = 8 in^2

Step-by-step explanation:

Area = 2x2 + 4x1 = 8 in^2

Perimeter = 2+2+2+2+1+4+1 = 14 in

Answer:

The area is 8 square inches and the perimeter is 16 square inches.

Step-by-step explanation:

First, find the area.

We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.

4 ⨯ 1 = 4

So, the area of the bottom rectangle is 4 square inches.

For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.

2 ⨯ 2 = 4

Now, we have to add 4 + 4, because the two quadrilaterals are joined together.

4 + 4 = 8

So, the area of the shape is 8 square inches.

Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.

Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.

2 + 2 + 2 + 4 + 1 + 4 + 1 = 16

So, the perimeter of the shape is 16 inches.

Which statement about this figure is true?????

Answers

if ur talking abt symmetry then uh
that figure most definitely doesn’t have a line of symmetry

PLS HELP ASAP! GIVING BRAINLIST!

Answers

Answer: 5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

25*11=275

[tex]\sqrt{25}\sqrt{11}[/tex]

25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5

help me please i really need it

Answers

28/10 is ur answer ur welcome

Find a POSITIVE and NEGATIVE co-terminal angle for
-19(pie)/8

Answers

0928-210=8 is the answer

1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)

Answers

Answer:

No Solution

Step-by-step explanation:

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

2x -10 = 2x -6  When we subtract 2x from both sides we are left with a false statement.

-10 [tex]\neq[/tex] -6

Thus, no solution.

Write each expression in standard from verify that your expression is equivalent to the one given by evaluating each expression using x =5
a) 3x + (2 - 4x)
b) 3x + (-2 + 4x)
c) -3x + (2 + 4x)
d) 3x + (-2 - 4x)
e) 3x - (2 + 4x)
f) 3x - (-2 + 4x)
g) 3x - (-2 - 4x)
h) 3x - (2 - 4x)
i) -3x - (-2 - 4x)
PLEASE HELP ME!!! I DONT UNDERSTAND!

Answers

I don’t understand too
Lololololololol

Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home?

Answers

10:10 pm because the movie ended at 9:20 and 50 minutes later would be 10:10 :)

it cost $5 per game to bowl plus $8 to rent shoes. if you have $30 to spend, how many hours can you spend bowling?

Answers

Answer:

21

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

30-8=22

5*4=20

20 dollars is the closest you can get without going over

Which value of x makes 2(x+8)=40 *
A x=20
B x=12
Cx=42
plz help me

Answers

The answer is B why because you have to multiply everything in the parentheses by 2 then subtract 16 from 40 and itself the ln divide 2 from 24

GET THIS CORRECT ILL GIVE BRAINLIEST

1+1

:)

Answers

1+1 is 2 from 1st grade

Answer:

2

Step-by-step explanation:

But if you want monkey math then it is 11 or 22. Hope this helps lol.

A triangle’s base is 3 feet longer than twice its height, h. To create a new triangle, the base is decreased by 4 feet, and the height is increased by 2 feet. Which expression represents the area of the new triangle?

Answers

Answer:

area of the triangle =

[tex] \frac{(x - 4) \times (y + 2)}{2} [/tex]

let base be x and height y

hope it helped

PLS mark BRAINLIEST

Answer:

let height be x

base =2x+3

for new

height =x+2

base=2x+3-4=2x-1

area of new triangle=1/2_newbase×height

=1/2 (x+2)(2x-1) is required expression

what is the surface area?

Answers

Answer:

Hope that answers your question

pls help i don’t understand!

Answers

Answer:  111 degrees

You may need to input the number only without the "degrees".

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

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

I need this quick!
Which equation has no solution?
|4x - 2|= -6
|-2 - x|= 9
|3x + 6|= 6
|-2x + 8|= 0
thanks so much! <3

Answers

Answer:

Hope that answers your question. The 3rd function has no solution

Someone help and plz make sure it’s right

Answers

The answer for this would be 10

A bag contains 100 marbles: 30 are red, 25 are green, 15 are blue, 7 are yellow, and the rest are orange.

Consider the following events, and then answer the question.

Event A: drawing a green marble
Event B: drawing a purple marble
Event C: drawing a red marble
Event D: drawing a yellow marble

Which probability is the smallest?

Answers

Answer:

a.25 out of 100 chances

b. 0 out  of 100 chances

c. 30 out of 100 chances

d. 7 out of 100 chances

Step-by-step explanation:

I NEED HELP FAST PLEASEEEE ITS A TEST 15 PTS
x + y = z could be true or false. Show your work for the
following:
a. If x is 2, y is 6, and z is 10, is the equation true or false?
b. If x is 3 and y is 5, what value of z would make the equation
true?

Answers

Answer:

a. False

b. z = 8

Step-by-step explanation:

a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8

b. 3 + 5 = 8

A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?

Answers

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

Other Questions
A baker has two identical cakes except that one cake is hot, and the other cake is room temperature. He places both cakes on an ice-coldplate. What happens? (Mark the one best answer.)Both cakes transfer energy to the plate.The plate transfers energy to the room temperature cake.Neither cake transfers energy to the plateOnly the hot cake transfers energy to the plate. What is a question or statement designed to provoke the reader into doing, supporting, or participating in something?O A call to actionA conclusionO Reasoning What are 5 similarities between the Roman republic and Roman Empire (make sure there true) Which process releases the highest amount of energy? roles performed by managers Which event was a colonial response to a British policy after the French & Indian1 pointWar?Navigation ActsStamp ActBoston Tea PartyProclamation of 1763 What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high? find the coefficient Griffins's driveway is 30 feet long.Choose the word and number to complete the sentence correctly.To convert 30 feet to yards ? 30 by ?. What are characteristics of wide-angle lenses? please help me ASAP...have a good day hi, whoever get this right get boba ( please dont guess if i get this wrong im going to shet myself) change the following sentence into a question, He invented a way to recycle rubber? QUESTION 1Which of the following statements are true of arteries and veins? (Read carefully and select all of the correct statements.)A. Venous anastomoses ensure that oxygenated blood will get to tissues.B. The endothelium of both arteries and veins contributes to the prevention of abnormal clotting.C. The smooth muscle layer of veins is thicker than that of arteries because veins are farther from the heart.OD. Only veins have valves, which keep the blood moving between heartbeats.E. The fibrous connective tissue layer of arteries is relatively thin because the blood is moving fast.OF Arterial anastomoses ensure that blood will be able to return to the heart. Help me please Please help Tyler orders a meal that costs $15. A. if the tax rate is 6.6% how much will the sales tax in be on Tyler's meal?B. Tyler also wants to leave a 20% tip for the server. How much do you think he should pay in all explain your reasoning. (20 POINTS) HELP ASAP AND USE IMAGE TO HELP!! At December 31, 2020, Concord Corporation had a projected benefit obligation of $551,500, plan assets of $313,400, and prior service cost of $134,800 in accumulated other comprehensive income. Determine the pension asset/liability at December 31, 2020. (Enter liability using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).) Pension asset/liability at December 31, 2020 (GIVING BRAINLIEST!!!!)After the Louisiana Purchase, how far west did the United States stretch?A) Appalachian MountainsB) Great LakesC) Rocky MountainsD) Pacific Ocean help someone please