Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?

Answers

Answer 1

Answer:

y = -1/3x + 7/3

Step-by-step explanation:

A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.

Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.

3 = -1/3 (-2) + b

9/3 = 2/3 + b

7/3 = b

Now we can create a line in slope intercept form: y = -1/3x + 7/3

Here is Standard Form if needed: x + 3y = 7


Related Questions

Which of the follwing are true statements about a 30-60-90 triangle?​

Answers

Answer:

A and E

Step-by-step explanation:

The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3

Answer:

A. and E.

Step-by-step explanation:

The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.

A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.

Answers

Answer:

16

Step-by-step explanation:

4 option: Pork, chicken, beef, or veggie burritos.

and for each of the 4 options: rice, beans, hot or mild salsa.

4x4=16

Example:

Pork with rice

Pork with beans

pork with hot salsa

pork with mild salsa

etc.

Pork: 4 possibility

Chicken: 4 possibility

Beef: 4 possibility

Veggie burritos: 4 possibility

4+4+4+4=16

Hope this answer help you.

I swear there are never tutors

Answers

Answer:

5-2y (the last option)

hope this helps!

please give brainiest<3

Answer:

2y-5

Step-by-step explanation:

How many in five days?

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check to pay her to pay her credit card bill of $125.43. how much must Tawana deposit in her checking account to maintain atleast the minimum balance?
hi

Answers

Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.

Hence, the answer is $99.89.

The answer would be $99.89

In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?

Answers

Answer:

100%, 50%, and 30%

Step-by-step explanation:

Thanks for your time.

(>.<) <3 Kris

Answer:

k(jjjjjjjjhuyt67 in bbkl

Help me I will give you brain list if you answer this first

Answers

0 is the answer :)))

Perform the indicated operation.

(16m2 + 40m + 25) ÷ (4m + 5) = _____

4 m + 5
4 m + 15 R. 100
4 m + 15 R. -50
4 m + 5 R. 50

Answers

Step-by-step explanation:

the answer is 4 m + 5 and my workings and the image above

Answer:

[tex]4m + 5[/tex]

Step-by-step explanation:

[tex](16 {m}^{2} +40m+25)÷(4m+5)[/tex]

[tex] \frac{16 {m }^{2} + 40m + 25}{(4m + 5)} [/tex][tex] \frac{(4 m + 5 {)}^{2} }{4m + 5} [/tex]

[tex]4m + 5[/tex]

Hope it is helpful....

I don’t know the answer

Answers

Answer:

c = 10.5

Step-by-step explanation:

Formula: the product of the lengths of the segments of one chord equal the product of the segments of the other.

              a •d = c • b

               7*12 = c*8

                 84 =8c

Divide by 8

                 84/8 = 8c/8

                 10.5 = c

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Answers

Step-by-step explanation:

Feel free to ask for more help. I love Linear Algebra


When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.

Answers

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant

Answers

Answer:

a is the answer because I just did that question and got 100 percent.


14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the
day. He counted the following number of cars the first four hours of the day.
.
13
12 cars the first hour
.
24 cars the second hour
14
.
36 cars the third hour
.
48 cars the fourth hour
15
16
What is true of the function Thomas wrote that represents the number of cars as a function
of the number of hours, h? Select all that apply.
a. The function is linear
b. The function is exponential.
c. The common ratio is 12
d. The common difference is 12.

Answers

Answer:

D

Step-by-step explanation:

it is because each number is gotten by adding 12 to the previous number

25 [tex]\sqrt{x}[/tex] 64 +187

Answers

Answer:

x = 17/4 = 4.250

x = 11/2 = 5.500

Step-by-step explanation:

5.500 is the correct answer

Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA

Answers

Step-by-step explanation:

f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.

Simply as much as possible.

4.4b-2.6b

Answers

Answer:

1.4b

Step-by-step explanation:

4b-2.6b

4.0-2.6=1.4

4b-2.6b=1.4b

Answer:

1.8b

Step-by-step explanation:

4.4b - 2.6b

subtract we get

1.8 b

Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers

Answers

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km


What is the area of this figure?

Enter your answer in the box

Answers

Answer:

and this is why I do not like math also all u got to do is count all the squares and the corners do not count as wholes u got to put two together and then it makes a whole

Step-by-step explanation:

its just that easy  :D hope it was helpful

How do I solve this?

Answers

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

y = x2
-2
What is the Domain:

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values

Answers

Answer:

Step-by-step explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Average rate of change of the function in the interval [-4, -2]

= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]

= [tex]\frac{0-(-12)}{-2+4}[/tex]

= 6

Average rate of change in the interval [-2, 1]                                                                            

= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]

= [tex]\frac{3-0}{1-(-2)}[/tex]

= 1

Average rate of change in the interval [-3, 1]

= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]

= [tex]\frac{3-(-5)}{1+3}[/tex]

= 2

Average rate of change in the interval [-4, 0]

= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]

= [tex]\frac{4-(-12)}{0-(-4)}[/tex]

= 4

El acero de alta resistencia es el principal material de los submarinos actuales, con un límite de profundidad de 250 a 400 m para que no haya ningún riesgo de explosión. Si se sabe que la distancia entre los 2 barcos es de 188 m y que las distancias de los barcos hasta el submarino son de 152 y 192 m respectivamente. Determina si el submarino corre algún riesgo de explosión, justificando la respuesta al mencionar la profundidad a la que se encuentra el submarino.

Answers

4j9gndbz4nhhmf76 love this life

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.

Answers

Answer:

x=2/3

Step-by-step explanation:

Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.

-3x+4=2

-3x=-2

3x=2

x=2/3

Please help me with this

Answers

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

Determine the value of each variable below. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

1) tan = opposite / adjacent

tan * adjacent = opposite

adjacent = opposite/tan

adjiacent = 60/1,600335 = 37.5

2) the two leg are congruent so the two angles are congruent

the sum of the inner angles of a triangle is 180 degrees

so

a = 45 degrees

b = 45 degrees

3) cos = adjacent/hypotenuse

adjacent = cos * hypotenuse

adjacent = 0,920505 * 45

adjacent = 41.4

.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA

Answers

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

help i give many points

Answers

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

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