I need it step by step please​

I Need It Step By Step Please

Answers

Answer 1

Answer:

The equation of the line passes through (3, -2) and parallel to the given line:

[tex]y = 3x-11[/tex]

The equation of the line passes through (3, -2) and perpendicular to the given line:

[tex]y=-\frac{1}{3}x-1[/tex]

Step-by-step explanation:

Given the points on the graph line

(2, -1)

(1, -4)

Finding the slope between (2, -1) and (1, -4)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]m=\frac{-4-\left(-1\right)}{1-2}[/tex]

[tex]m=3[/tex]

Equation of the line passes through (3, -2) and parallel to the given line.

We know that parallel lines have the same slope.

so the equation of the line parallel to the given line = 3

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (3, -2)

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

[tex]y+2 = 3x-9[/tex]

[tex]y = 3x-9-2[/tex]

[tex]y = 3x-11[/tex]

Therefore, the equation of the line passes through (3, -2) and parallel to the given line:

[tex]y = 3x-11[/tex]

The equation of the line passes through (3, -2) and perpendicular to the given line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation

[tex]y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)[/tex]

[tex]y+2=-\frac{1}{3}\left(x-3\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=-\frac{1}{3}\left(x-3\right)-2[/tex]

[tex]y=-\frac{1}{3}x-1[/tex]

Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:

[tex]y=-\frac{1}{3}x-1[/tex]

Conclusion:

The equation of the line passes through (3, -2) and parallel to the given line:

[tex]y = 3x-11[/tex]

The equation of the line passes through (3, -2) and perpendicular to the given line:

[tex]y=-\frac{1}{3}x-1[/tex]


Related Questions

USE The two Approches, Find
The lCM OF 48, 60,72​

Answers

answer it is right at right write L.C.M

Find the constant of proportionality for the table of values.
х
4
5
6
7
у
14
17.5
21
24.5
The constant of proportionality is k =

Answers

Answer:

[tex]\huge\boxed{k=3.5}[/tex]

Step-by-step explanation:

[tex]\dfrac{y}{x}=constant=k[/tex]

Divide the y value by its corresponding x value:

[tex]\dfrac{14}{4}=\dfrac{7}{2}=3.5\\\\\dfrac{17.5}{5}=3.5\\\\\dfrac{21}{6}=\dfrac{7}{2}=3.5\\\\\dfrac{24.5}{7}=3.5[/tex]

Triangle DABC is similar to DEFG.


What is the area of DEFD?





Select the best answer from the choices provided.
A.
250 in.2
B.
125 in.2
C.
10 in.2
D.
5 in.2

Answers

Answer:

is there an image provided?

Step-by-step explanation:

The correct answer I believe is c

Help how do I do this?

Answers

The answer will be 2(x+5)(x+3). I hope this will be easier.

Answer:

THE ANSWER IS 9

bc you will distribute 2x+16-2 18÷2 =9

these kids are mad annoying no cap

Answers

ever little kid is annoying !!!

Answer: :) :0 :D :P :N intresting question

Step-by-step explanation: i dont know what the H -e -l -l I'm doing here

What does bc equal ?

Answers

Answer:

180

Step-by-step explanation:

First to solve right !!!!WIL GET MARKED BRAINLIEST!!!! (easy)


I have $3

My mom gave me $20

My dad gave me $100

My uncle n auntie gave me $50

I had $10

How much did i have??

Answers

Answer:

183$

Step-by-step explanation:

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

$183 is the answer

reasoning: ...


What point is on both lines y = {x +3 and y = x +1? (1 point)




Please help ASAP

Answers

Answer:

No point

Step-by-step explanation:

This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1

Answers

Answer:

Average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: [tex]f(x)= x^2-x-1[/tex]

The formula used to find average rate of change is:

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

We have, a = -1 and b = 1

Finding f(b) when b=1

[tex]f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1[/tex]

Now, finding f(a), when a= -1

[tex]f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1[/tex]

Now, putting values and finding average rate of change

[tex]Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1[/tex]

So, average rate of change for the function [tex]f(x)= x^2-x-1[/tex] over the interval -1<x<1 is -1

Given z1=9+9sqrt(3)i and z2=2+sqrt(3)i what is z2-z1
This is urgent will give brainliest!

Answers

Answer:

[tex] = 2 + \sqrt{3} i - (9 + 9 \sqrt{3} i) \\ = (2 - 9) + ( \sqrt{3} - 9 \sqrt{3} )i \\ = - 7 + (1 - 9) \sqrt{3} i \\ = - 7 - 8 \sqrt{3} i[/tex]

The required simplification of z2-z1 = -7-8sqrt(3)i.

z1=9+9sqrt(3)i
z2=2+sqrt(3)i
z2-z1 to be determined.

What is a complex number?

A complex number is defined as the sum of a real and imaginary numbers.

Here,
[tex]z_1=9+9\sqrt(3)i\\z_2=2+\sqrt(3)i\\\\z_2-z_1 = 2+\sqrt(3)i-(9+9\sqrt3i\\z_2-z_1 = 2-9+\sqrt(3)i-9\sqrt3i\\z_2-z_1 = -7-8\sqrt(3)i[/tex]

Thus, the required simplification of z2-z1 = -7-8sqr(3)i.


Learn more about complex numbers here:

https://brainly.com/question/28007020
#SPJ2


which equation correctly represents the line graph below?

Answers

Answer:

y = 1/2x + 12

Step-by-step explanation:

The y intercept is 12, and the slope is 1/2

The diagram shows the number of quarts of blood the human heart pumps per minute. A drawing shows an anatomy of human heart. Label reads: Pumps 5 quarts of blood per minute. a. How many quarts of blood does the human heart pump per hour? quarts per hour Question 2 b. How many liters of blood does the human heart pump per minute? liters per minute

Answers

The unitary method is used to find the unit value of any quantity.

(a)The human heart pumps 300 quarts/hour.

(b) The human heart pumps 4.730 liters/minute.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

Reading on the label is 5quarts/min.

Since, 60 min = 1 hour

Use unitary method to get,

1 min = 1 / 60 hour.

Therefore, pumping of blood in quarts/hour = 5 / (1 / 60)

                                                                         = 5 × 60

                                                                         =  300

Since, 1 quart = 0.946 liter

The pumping of blood in liter/minute = 0.946 × 5

                                                               = 4.730.

Hence, the human heart pumps 300 quarts of blood per hour and 4.730 liter of blood per minute.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ1

HELP. How long is the minor axis for the ellipse shown below?

Answers

Given:

The equation of ellipse is

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]

To find:

The length of the minor axis.

Solution:

The standard form of an ellipse is

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.

We have,

[tex]\dfrac{(x+4)^2}{25}+\dfrac{(y-1)^2}{16}=1[/tex]      ...(ii)

On comparing (i) and (ii), we get

[tex]b^2=16[/tex]

Taking square root on both sides.

[tex]b=\pm 4[/tex]

Consider only positive value of b because length cannot be negative.

[tex]b=4[/tex]

Now,

Length of minor axis = [tex]2b[/tex]

                                  = [tex]2(4)[/tex]

                                  = [tex]8[/tex]

So, the length of minor axis is 8 units.

Therefore, the correct option is B.

Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?

Answers

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $[tex]x[/tex]

As per question statement:

[tex]65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80[/tex]

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = $28

supposea,b,and c represent three postive whole numbers. if a+b=19, b+c=28, and a+c=25 what are the values of a, b, and c? solve for x sqaured 2 -4x +3 = 0

Answers

Hello can you help me Solve each system of equations by GRAPHING. Clearly identify your solution.
(4x-y=3)
(3x+y=4)


Please help I need this answer and an explanation of how you got it I really do need this if you can help please it would mean so much to me I REALLY NEED HELPPPP

wa says that 15 years from now his age will be 3 times his age 5 years ago. If a represents William's present age complete the following 25 years 28 years X-15= 3+ 5) x+15= 3(4-5) The equation representing William's claims​

Answers

Answer:

x+15 = 3(x-5)

Step-by-step explanation

Let the william present age be a, we are to find the equation representing William's claims​

15 years from now, williams age will  be x+15

5 years ago, his age will be x - 5

if 15 years from now his age will be 3 times his age 5 years ago, this is expressed as;

x+15 = 3(x-5)

Hence the required equation is x+15 = 3(x-5)

The quantities xxx and yyy are proportional. xxx yyy 222 222222 777 777777 999 999999 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals

Answers

Answer:

If the table is:

x=2 y=22

x=7 y=77

x=9 y=99

you can see that 22/2=11 same with 7/77 and 9/99

r=11

Step-by-step explanation:

pretty simple but i probably explained it horribly

The constant of proportionality (r) is 11 for the given variables in the table.

What is the constant of proportionality?

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The table is given in the question consists as:

The value of variable x = 2 when variable y = 22

The value of variable x = 7  when variable y = 77

The value of variable x = 9  when variable y = 99

We have to determine the constant of proportionality (r)

the constant of proportionality (r) = y / x

Substitute the values in the above equation,

the constant of proportionality (r) = 22/2 = 7/77 = 9/99 = 11

the constant of proportionality (r) =11

Thus, the constant of proportionality (r) is 11 for the given variables in the table.

To learn more about the constant of proportionality here:

https://brainly.com/question/17302514

#SPJ5

The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number

Answers

Answer:

It will take 9 years for the population to double

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

[tex]2P_o=P_o(1+0.08)^t[/tex]

Simplifying:

[tex]2=(1.08)^t[/tex]

Taking logarithms:

[tex]\log 2=\log (1.08)^t[/tex]

Applying the exponent property of logs:

[tex]\log 2=t\log (1.08)[/tex]

Solving for t:

[tex]\displaystyle t=\frac{\log 2}{\log (1.08)}[/tex]

Calculating:

[tex]t\approx 9[/tex]

It will take 9 years for the population to double

Need help please!!!!!!!

Answers

I believe it’s the last one
Mark brainliest if satisfied

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]

An equation for a house's value is y = 7500x + 125000,
where y is the value in dollars and
x is the time in years, starting now.
a) What is the y-intercept of this equation?
b) What does the y-intercept represent?
c) What is the value of the house 2 years from now?
d) At what rate is the house value changing from year to year​

Answers

9514 1404 393

Answer:

  a) 125000

  b) the value now

  c) 140000

  d) 7500 per year

Step-by-step explanation:

a) Comparing the equation to slope-intercept form (y = mx+b) we see that the y-intercept (b) is 125000.

__

b) We presume that "starting now" means x=0 corresponds to "now." The y-intercept is the value when x=0, so the y-intercept represents the value now.

__

c) When x=2, the value is ...

  y = 7500(2) +125000 = 140000

The value of the house is projected to be 140000 two years from now.

__

d) The coefficient of x being 7500 means the value will increase 7500 each year.

Identify the domain and range of the function.

Answers

Answer:

Domain is all real numbers, and range is all integers.  (D)

8500 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 59700 dollars?

Answers

Answer:

6

Step-by-step explanation:

j

Answer:29

Step-by-step explanation:

Can this be a line of symmetry?

Answers

Answer:

No, it can not

Step-by-step explanation:

Hope this helped have an amazing day!

No
Explanation: The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

please help me with this

Answers

Answer:

top right equation

Step-by-step explanation:

y=x^2-2

my answer got deleted. so stup id

Can I get some help ill make you brainlist and ill give 100 points

Answers

Answer:

the first one is 65 degrees i think

Step-by-step explanation:

Answer:

I HAVE NO IDEA

Step-by-step explanation:

Please give me brainliest im determine i really

have only been picked one time and please give me brainliest i really need it im sorry i didnthelp but im litterly crying right now please please please give me brainliest

Help please. Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.
3
1/3
-1/3
-3

Answers

Answer:  - 1/3

Step-by-step explanation:

goran just bought a refrigerator for $851. He paid $255.20 in down payment and will pay the rest in 6 equal installments. How much does he need to pay for each installment

Answers

Answer:

106.13

Step-by-step explanation:

855-255.2=636.8

636.8/6=106.13333

What do you call a person or an institution who invests the money or the
one who makes the funds available?

Answers

An institutional investor is a person or organization that trades securities in large enough quantities that it qualifies for preferential treatment and lower fees. A retail investor is an individual or non-professional investor who buys and sells securities through brokerage firms or savings accounts.

tip: make sure to reword it

Answer:

Lender

Quizzz review some of this the test name is

Math Math Math!!!!

10 questions

By:Mrs. Bagauisan

A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?


Decreasing one fifth unit/sec

Increasing one fifth unit/sec

Decreasing one tenth unit/sec

Increasing one tenth unit/sec

Answers

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

Which of the following are irrational numbers?
Check all that are true.

loading ...

loading ...

loading ...

loading ...

Answers

Is this a joke?????????????????

Answer:

d for sure

Step-by-step explanation:

Other Questions
what amount of heat is required to raise the temperature of 5 kg of water through 20 c? 4\7 equivalent fraction what is the functions of lysosomes ? Find each unit rate. Determine which is lower.Brand A: 240 mg sodium for 1/3 pickleor Brand B: 325 mg sodium for 1/2 pickle please urgent please help 4.7x 10^-1 as an ordinary number when a nubian story teller could telltales in egyption and traditinal nubian what was he or she called Which organ is responsible for training T-cells?tonsilsappendixspleenthymus Which of the following is likely to lead to an increase in the concentration of ATP in a cell? a) an increase in a cell's anabolic activity b) an increase in a cell's catabolic activity c) an increased influx of cofactor molecules d) the cell's increased transport of materials to the environment Complete the unfinished DNA strand from attached, and which m-RNA strand would be formed from the finished DNA strand? How has the mechanized clock impacted society today? Please help asap I suck at math :( Two savings accounts earn simple interest. Account A has a beginning balance of $500 and grows by $25 per year. Account B has a beginning balance of $750 and grows by $15 per year. You are asked to push a particular viewpoint with a client. The request makes perfect business sense but you happen to not believe in the particular notion you are to advocate. How do you deal with the situation 1. Suppose you borrow money at a nominal interest rate of 14%. At the time you borrow the money, you expect inflation to be 8%. The real interest rate you expect to pay on your loan is______%.2. Suppose that when you pay back the loan, inflation turned out to be 9%. The real interest rate you actually pay back is_______.3. Suppose that when you pay back the loan, inflation turned out to be 5%. The real interest rate you actually pay back is______.4. Think about the case where inflation turned out to be higher than expected. You initially thought inflation was going to be 3%, but it turned out to be 9%. Since the inflation rate turned out to be higher than______expected, then than you both expected. Gage's letter shows that he was aware of the A. potential for violence at Concord. B. weakness in his supply chain. C. support for the King by loyal locals. D. demands by colonists for independence.Having received intelligence, that a quantity of ammunition, provision, artillery, tents and small arms, have been collected at Concord, for the avowed purpose of raising and supporting a rebellion against his majesty, you will march with the corps of grenadiers and light infantry, put under your command, with the utmost expedition and secrecy to Concord, where you will seize arms, and all military stores whatever. But you will take care that the soldiers do not plunder the inhabitants, or hurt private property. Your most obedient humble servant Thomas Gage Nicholas wants to buy a new computer that is on sale for $899. His parents will loan him the money if he repays them. He has $225 in his savings account and plans to work as a camp counselor to earn money during the summer. If he earns $35 per day, how many days will Nicholas have to work in order to fully repay his parents? PLEASE HELP URGENT DO NOT WASTE ANSWERS WILL MARK BRAINLIEST Pls tell me the answer,,, What is the motion of the object?F = 90 NF3 = 60 NF = 20 NF2 = 90 NConstant speed to the leftAccelerating to the leftAccelerating to the rightConstant speed to the right Steam Workshop Downloader