Write an equation for the line that passes through the given point and is parallel/perpendicular to the graph of the given point.
Parallel: Y=3x-2; (3,2)
Perpendicular: Y= -2x-1; (2,-1)

Also I will mark brainly to who explain what they did step by step

Answers

Answer 1

Answer:

Parallel: The slope is the same as in the previous equation. So, y=3x+b. To find the value of b, you plug in the given point, 2=3(3)+b, b=-7. So the equation is y=3x-7.

Perpendicular: The slope is the negative reciprocal when an equation is perpendicular. The negative reciprocal of -2 is 1/2. So, y=1/2x+b. To find the value of b, you plug in the given point, -1=1/2(2)+b, -1=1+b, b=-2. So the equation is y=1/2x-2.

:)

Answer 2

9514 1404 393

Answer:

parallel: y = 3x -7perpendicular: y = 1/2x -2

Step-by-step explanation:

The given line equations are written in "slope-intercept" form.

  y = mx + b . . . . . . . . . m is the slope; b is the y-intercept

If we solve this equation for b, we find ...

  b = y - mx

This is useful for completing the equation of the line through a given point when the slope is known.

Parallel

A parallel line will have the same slope as the given line. The given line has a slope (x-coefficient) of 3. We can find the "b" of the line through the desired point as ...

  b = y -3x

  b = 2 -(3)(3) = -7

The equation of the parallel line is ...

  y = 3x -7

__

Perpendicular

A perpendicular line will have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to. Here, the given line has a slope of -2, so the perpendicular line will have a slope of ...

  -1/(-2) = 1/2

Then the y-intercept is ...

  b = y -(1/2)x

  b = -1 -(1/2)(2) = -2

And the equation of the perpendicular line is ...

  y = 1/2x -2

__

The attached graph shows the original lines as dashed lines, and the corresponding desired lines as solid lines in the same color.

Write An Equation For The Line That Passes Through The Given Point And Is Parallel/perpendicular To The

Related Questions

pls help i am in k12
What is the slope of Car A’s graph? What does it mean?
(b) What is the slope of Car B’s table? What does it mean?

Answers

if you provide a picture i can help you ❤️

In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).​

Answers

97.07%

Step-by-step explanation:

total number of students is

696+21=717

696/717×100=97.07

answer is 97.07%

What is the HCF of two consecutive odd numbers? for 50 points​

Answers

Answer:

The HCF of two consecutive odd number is 1.

Step-by-step explanation:

What is the HCF of two consecutive odd numbers?

The HCF of two consecutive odd number is 1.

solve each equation. 6x+2/3-2=4x-4/6

Answers

Answer:

6x+2/3-2=4x-4/6

6x-4x = 2-⅔-4/6

2x = 2-(4+4)/6

2x = (12-8)/6

2x = 4/6

12x = 4

x = 4/12

x =⅓

Step-by-step explanation:

brainliest plz

fourth degree and a single zero of -3

Answers

The degree of a polynomial is the highest power of the polynomial.

The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

The degree is given as:

[tex]\mathbf{n = 4}[/tex]

The zero is given as:

[tex]\mathbf{x = -3}[/tex]

Add 3 to both sides

[tex]\mathbf{x + 3= 0}[/tex]

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

[tex]\mathbf{P(x) = (x + 3)^n}[/tex]

Substitute 4 for n

[tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Read more about polynomials at:

https://brainly.com/question/11536910

In pack of ten books, three are geometry books while the rest are book on algebra. If three books are drawn at random, what is the probability that one of them is geometry book and the others are book on algebra​

Answers

Answer:

21/40.

Step-by-step explanation:

There are 3 geometry and 7 algebra books.

If the geometry book is drawn first probability = 3/10

If the second is algebra P = 7/9.

If the third is algebra P = 6/8 = 3/4.

So the probability  of all three being drawn in this order = 3/10 * 7/9 * 3/4

= 63/360

= 7/40.

Now there are a total of 3 ways in the order they are drawn, That is:

GAA

AGA

AAG.

So the required probability = 3 * 7/40

= 21/40.

HELP PLZ ASAP!!!!


A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months.


A. W= 360m + 60,000

B. W= 60,000m + 360

C. W= 360m - 60,000

D. W= 60,000m - 360

Answers

Answer:

Step-by-step explanation:

Your answer is A.

Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case

Plz help I need help

Answers

Answer:

Not proportional

Step-by-step explanation:

This is because there is not an equal about of feet per day

- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth) ​

Answers

Answer:

1.03

Step-by-step explanation:

Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.

Answer:

1.03

Step-by-step explanation:

The ratio of green pepper plants to red pepper plants in Adeline's garden is 3 to 5. If there are 20 red pepper plants, how many green pepper plants are there?

A. 35
B. 16
C. 12
D. 6

Answers

the answer is C 12


explanation:
4x5 is 20
4x3 is 12
process of GCF to find the ratio

-8+r>-8
please show work

Answers

Hello there!

-8+r>-8

Move all the numbers to the right:

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

{-13,-2,9,20,31,…} which term in this sequence is 306

Answers

Given :-

-13,-2,9,20,31 . . . . .

To find :-

which term in this sequence is 306 .

Solution :-

Common difference ,

d = 31 - 20 d = 11

As we know that ,

Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30

Answer:

30th

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 13 and d = 11 , then

[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306

11n - 24 = 306 ( add 24 to both sides )

11n = 330 ( divide both sides by 11 )

n = 30

The 30th term is 306

place the boxes in the correct location this Math problem 15 points

Answers

Answer:

but where is the question please type your full questions

Do you have a picture

Pokyaa is 11 years older than Afriyie, if altogether the two sisters age is 52, what is Pokyaa's age?

Answers

Pokyaa is 31 years, 6 months, while Afriyie

is 20 years, 6 months

The age of Pokyaa's such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that the age of Pokyaa is P while the age of Afriyie is A.

As per the given,

Pokyaa is 11 years older than Afriyie

Therefore,  P = 11 + A

Altogether P + A = 52

Substitute,A = 52 - P  into P = 11 + A

P = 11 + (52 - P)

P = 11 + 52 - P

P + P = 63

2P = 63

P = 32.5 ⇒ 31 years and 6 months.

Hence "The age of Pokyaa such that Pokyaa is 11 years older than Afriyie is 31 years and 6 months old".

For more about the equation,

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Select the values that are solutions to the inequality x2 + 3x – 4 > 0.

–6

–2

0

5

Answers

the answer to this question is -6&5

Write the equation in point slope form

Answers

Answer: X=4/2x+3

Step-by-step explanation:

I just know

The equation in point slope form is
y-4 = (1/2)(x -2).

The equation for point slope form is
y - y1 = m(x - x1)

The point on the graph is given as (2,4) so you can substitute that into the equation as

y - 4 = m(x - 2)

M represents the slope.

By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).

Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2

Therefore the slope = 1/2 = m.

Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).

PLEASE HELP
WILL MARK BRAINLIEST
(don’t put links or i will report)


What type of correlation is shown within your data? Explain how you know.

Answers

Answer:

it looks like a positive correlation?

Step-by-step explanation:

I really don't know much but it looks like the y in increasing in a positive direction when the x is as well

Giving brainliest for number 31

Answers

Answer:

b, d, c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

f(x)=x²-x

#CarryOnLearning

hopeithelps,,thanks

the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?

Answers

We want to find the rate of change of the surface for a cube of increasing volume.

When the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

We know that for a cube of side length S, the volume is:

V = S^3

And the surface area is:

A = 6*S^2

Here we know that the volume increases at a rate of 12in^3/min.

Because the volume depends on the side length cubed, we can say that the side length increases at a rate of:

∛(12in^3)/min = 2.29 in/min

Then, as a function of time t in minutes, we can write the side length as:

S(t) = (2.29 in/min)*t

Then the surface area equation is:

A(t) = 6*((2.29 in/min)*t)*((2.29 in/min)*t)

A(t)  = (31.46 in^2/min^2)*t^2

The rate of change is given by direct differentiation, we get:

A'(t) = 2*(31.46 in^2/min^2)*t

Now we need to evaluate this in the value of t such that the side length is equal to 20 in:

S(t) = 20in = (2.29 in/min)*t

         (20in)/(2.29 in/min) = t = 8.73 min

Then we will get:

A'(8.73min) =  2*(31.46 in^2/min^2)*8.73min = 439.29 in^2/min

This means that when the side length is equal to 20 inches, the surface area is increasing at a rate of 439.29 in^2 per minute.

If you want to learn more, you can read:

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A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1

Answers

Answer:

3

Step-by-step explanation:

27300 * (1-6.1%)^n = 22100,

n∈(3,4)

when n = 3,≈22603;

when n = 4,≈21224;

so choose n = 3.

Therefore, it takes  car to depreciate to this amount is [tex]3[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].

So, the equation is

[tex]27300(1-6.1)^n=22100\\\\[/tex]

when [tex]n[/tex] belongs to [tex](3,4)[/tex]

when [tex]n=3\\[/tex]

The equation would be

[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]

When

[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]

So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].

Hence, it takes  car to depreciate to this amount is [tex]3[/tex].

To know more about the simplification

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9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.

Answers

Answer:

11400000

Step-by-step explanation:

1 whale = 380000 lbs

30 whale weighs 380000×30

30 whales = 11400000

need help desperately.. y – 2.234 = 7.92

Answers

Answer:

251,734.

Step-by-step explanation:

y = 10.154 because you would add 2.234 to 7.92

An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

8% is the sales tax rate

Step-by-step explanation:

I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.

490 * 8.75% = 42.875

Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)

490 * 8% = 39.2

Hope this was somewhat helpful

The formula E =1/2 kx^2gives the potential energy E of a spring with spring constant k that has
been stretched by length x. Solve the formula fork to find the constant of a spring with a iven
potential energy and stretch.

Answers

Answer:

[tex]k = 2E/x^2[/tex]

Step-by-step explanation:

Given formula:

[tex]E = 1/2kx^2[/tex]

To solve for k, multiply both sides by 2 and divide by x²:

[tex]2E=kx^2[/tex][tex]k = 2E/x^2[/tex]

Answer:

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Step-by-step explanation:

The formula given is :

[tex]\sf\longmapsto \: E = \frac{1}{2} kx²[/tex]

Now, multiply (×) both sides by 2 and divide (÷) by x^2

[tex]\sf\longmapsto \: 2E = kx²[/tex]

[tex]\sf\longmapsto \: k = \frac{2E}{x {}^{2} } [/tex]

Kimberly has a revolving credit account at an annual percentage rate of 15% her previous monthly balance was $784.19 find a new balance if Kimberly's account show The Following activity - 88.76 + 115 + 210.72 - 354.12 - 723.92​

Answers

Answer:

784.19(1 + .15/12) = 793.99

Step-by-step explanation:

Find the product of 44.6 and 2.34.

Answers

Answer:

104.364

Step-by-step explanation:

Product means multiplication so:

44.6×2.34 = 104.364

3v + 7v + 9v =3 v+7 v+9 v= ​

Answers

Answer:

I cant help you

Step-bBecause i just c

y-step explanation:

If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?

Answers

Answer:

I'm pretty sure 70 liters

Step-by-step explanation:

because 60÷10=6

so 70÷10=7

Which graph represents the function f(x)=0.5x+4?


Which graph represents the function f(x)=−2x−1?

Answers

Answer:

Step-by-step explanation:

1.)The 4th picture will be the correct one.

Step-by-step explanation:

The first picture shows the graph of f(x) and in the options there are pictures of graph of g(x) = f(x) -1

So, it is clear from the equation of the functions that the graph of f(x) and g(x) will be similar but the the y value in g(x) will be 1 less than the y value in f(x) corresponding to a certain x value.

So, the graph will translate down by 1 unit.

Therefore, the 4th picture will be the correct one.

2.)-(2^x) - 1 will have a y-intercept of -1-1 = -2, a horizontal asymptote of y=-1, and will be decreasing everywhere. The third selection is the graph that has these characteristics.

Answer:

graph 4

Step-by-step explanation: because I love you <3 ;)

1. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.​

Answers

(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.

32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.

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