find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2​

Answers

Answer 1

Answer (assuming it can be put in point-slope format):

[tex]y + 4 = 3(x-2)[/tex]

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex],  to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:

[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]


Related Questions

Exits along interstate highways were formerly numbered successively from the western or southern border of a state. However, the Department of Transportation changed most of them to agree with the numbers on the mile markers along the highway. a. What level of measurement were data on the consecutive exit numbers

Answers

Answer:

The appropriate response will be "Ordinal".

Step-by-step explanation:

Consecutive exit figures would be quantified on either the 'ordinary' magnitude because they were represented progressively again from the southwestern boundary including its nation. There would seem to be a clear structure to also be accompanied whilst also numbering, as well as that there were no wide variation exit figures.

After a discount of 30%, the sale price of a ride
pass at a fun park is $35. What was the original
price?

Answers

Answer:

Step-by-step explanation:

Its simple really, its 45.5

Since its a mark down and you want to find the original number, you have to multiply 35 by 1.3

35 x 1.3 = 45.5

Which then gives you 45.5

What's the area of the trapezoid?

Answers

Answer:

Mark brainliest please if i am correct one more brainliest please

Step-by-step explanation:

A=a+b

2h=15+25

2·5=100

Answer:

51.2

Step-by-step explanation:

plz mark me as brainliest

Help ASAP NEED HELP

Answers

Answer:

Its C

Step-by-step explanation:

first you would do the square which would be 3x3 which is 9 next you would do the rectangle which is 9x3 which is 27

9+27=36

A Data Scientist of a Fortune 500 banking firm is looking at the relationships between various age groups of adults and types of investments portfolios. He is looking at a Chi Square distribution in his statistical software. What is the probability that x is larger than 12 when df = 19?

Answers

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100

Determine whether the given value is a solution of the equation. Show your work.

21 = x − 5; x = 16

Answers

Step-by-step explanation:

No Not an answer

21=x-5

x=26

3x+2x-13=47 solve for x

Please show the work

Answers

3x+2x-13=47
5x-13=47
5x=60
x=12

What is the value of x?​

Answers

Step-by-step explanation:

Given in the picture that,

2x + 2x + 2x + 2x + 2x = 11

So, by the problem,

=> 2x + 2x + 2x + 2x + 2x = 11

=> 10x = 11

[tex] => x = \frac{11}{10} or \: 1.1(ans)[/tex]

Hence required value of x is 1.1 (Ans)

What are the solutions to the equation x2-12x + 20 = –20?

Answers

x = 2, 10

Solve value of x by factoring, getting

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

-X – 3, solve for a when g(x) = 6.
PLSSS

Answers

the answer is -9 when g(x) is 6

Question 3
5 1
Divide 6 • 12

Answers

Answer:

5/6 divided by 1/12 = 10.

Hope this helped!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(5/6)÷(1/12) = 10

Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test

Answers

Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]

0.2333 = 23.33% probability he passes exactly one test

Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,
¿cuáles son las dimensiones?

Answers

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

[tex]\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b) [/tex]

Lo que significa :

[tex] =\tt 2(x + x + 5) = 74[/tex]

[tex] =\tt 2(2x + 5) = 74[/tex]

[tex] =\tt 4x +10 = 74 [/tex]

[tex] =\tt 4x = 74 - 10[/tex]

[tex] =\tt 4x = 64[/tex]

[tex] =\tt x = \frac{64}{4} [/tex]

[tex]\color{plum} =\tt x = 16[/tex]

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

[tex] =\tt x + 5[/tex]

[tex] = \tt16 + 5[/tex]

[tex]\color{plum} =\tt 21 \: pulgadas[/tex]

La longitud de este rectángulo = 21 pulgadas

Por lo tanto :

● Longitud del rectángulo = 21 pulgadas

● Ancho del rectángulo = 16 pulgadas

204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?

Answers

Answer:

49

Step-by-step explanation:

204-8=196 in buses

each bus= 196÷4=49

Answer: 26


204 divided by 8=equals 25.5 so round to 26

if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater

Answers

Answer:

4/9

Step-by-step explanation:

P(≥3 and ≥3) = 4/6 x 4/6 = 4/9

help please and thank youu

Answers

Answer:

c

Step-by-step explanation:

number number number number

Perform the
ect
1. Find the sum of 5x + 20 and the
opposite of 20.
Find the sum of 5x +20 and the opposite of 20

Answers

Answer:

[tex]Sum = 5x[/tex]

Step-by-step explanation:

Given

1: 5x + 20

2: Opposite of 20

Required

Find their sum

Suppose that a is a number; The opposite of a is -a. So, the opposite of 20 is -20.

Having said that:

The required sum is:

[tex]Sum = 5x + 20 + (-20)[/tex]

Remove bracket

[tex]Sum = 5x + 20 -20[/tex]

[tex]Sum = 5x[/tex]

Please help I don’t get it

Answers

Answer:

y = 2x ± 3

························

Step 1.  The first blank is found at the point in which the line crosses the x- axis

Step 2. The second blankis found at the point in which the line crosses the y- axis

In this case those two points are 2 and 3

Hope this helped!

Simply the problem

(4×10⁵)(8.03×10-³) ​

Answers

Answer:

would be 32120000 or alternative form 3.212x10 and a 7 on top.

Step-by-step explanation:

HELP ASAP!! What is angle 1 called??

Answers

Your right it’s an obtuse angle

Solve for x.
x² = 9

x=±3

x=±4.5

x=±18

x=±81

Answers

I pretty sure x equals 3

what percent of 467.00 80%​

Answers

Answer:

80% of 467 is 373.6

Step-by-step explanation:

Answer:

I beleive the answer to your question is 373.6.

Step-by-step explanation:

80% of 467 is 373.6. Or your answer is 93.4. because 373.6 minus 467 is 93.4

How tall are you in centimeters (1 inches =2.54)

Answers

Answer:

Im about 178 centimeters

Step-by-step explanation:

Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
of coin does she have?

Answers

24 dimes and 76 quarters lol

What is the total area? Use 3 for Pi.
Answer fast pls!! xx

Answers

Answer:

1318.8

Step-by-step explanation:

i got this

28 x 15=420

420 x 3.14= 1318.8

Answer:

243.37 in^2

Step-by-step explanation:

large rectangle=28x15=420  (now we need to deduct the circular areas)

circular area =7.5^2(3.14)=176.63  (radius^2xPi)   (this is for a full circle which accounts for the two semi circles)

420-176.63=243.37

Help please

What is the value of b?

Answers

Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = [tex]\sqrt{36}[/tex] or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = [tex]\sqrt{52}[/tex]

Now you can find 'b' by using the Pythagorean Theorem:

([tex]\sqrt{52}[/tex])² + b² = (9+4)²

52 + b² = 169

b² = [tex]\sqrt{117}[/tex]

b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]

b = 3[tex]\sqrt{13}[/tex]

HELP I WILL GIVE BRAINLYEST TO WHOEVER GETS IT RIGHT PPPPPPPPLLLLLLLLEEEEEEEEESSSSSSSSEEEEEEEEE

Answers

Answer:

3/8

Step-by-step explanation:

Answer:3/4 pretty sure

Step-by-step explanation:

I do not know but  that would be my answer

4-(-5)
Integer Rules

Answers

Step-by-step explanation:

4-(-5)

= 4+5

= 9

............

The diagram represents a 12 cm by 4 cm rectangle.

12 cm

4 cm

Calculate the area of the rectangle, giving the units of your answer.​

Answers

The formula for calculating the area of a rectangle is:

A = tw

So therefore:

A = (12)(4)

Area = 48 cm squared.

As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students were asked to summarize the current prices (also referred to as the closing price of the stock for a particular trading date) of the collected stocks using graphical and numerical techniques. Identify the sample of interest for this study. Group of answer choices

Answers

Answer: The 500 NYSE stocks that current prices were collected from

Step-by-step explanation:

The sample of interest simply means a representation of the population. With regards to the information given pertaining to the question, the sample of interest will be "The 500 NYSE stocks that current prices were collected from".

The 500 NYSE stocks represents the total NYSE stocks that are available.

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