Find the equation of straight line passing through the point:
a) (4,8) and parallel to the line 3x+y=17
b) (2,3) and perpendicular to the line y=2x+13
I need the answers ASAP please!

Answers

Answer 1

Answer:

See solution below

Step-by-step explanation:

Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)

m is the slope

c is the intercept

Fr the equation 3x+y = 17

y = -3x+17

m = -3

Given the point (4,8)

The equation of the line is expressed as;

y - 8 = -3(x-4)

y - 8 = -3x + 12

y + 3x = 12+8

y+3x = 20

This gives the required equation

For the equation y = 2x + 13

Slope m = 2

Since the line is perpendicular to the unknown line;

M = -1/2

Given the point (2, 3)

Get the equation

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

2(y-3) = -(x - 2)

2y-6 = -x+2

2y+x = 2 + 6

2y+x = 8

This gives the required equation


Related Questions

Suppose you deposit $7500 $ 7500 in a savings account that has an interest rate of 512%. 5 1 2 % . If the interest is compounded monthly, what will the approximate balance of this savings account be after 3 3 years?

$8842

$7603

$14,424

$37,645

Answers

Answer:

8842

Step-by-step explanation:

The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

How to determine what will the approximate balance of this savings account be after 3 3 years

To calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the values into the formula:

A = $7500(1 + 0.0512/12)^(12*33)

Calculating inside the parentheses first:

A = $7500(1 + 0.00427)^(396)

Now, raising to the power:

A ≈ $7500(1.00427)^(396)

Evaluating this expression:

A ≈ $7500 * 56.951

A ≈ $425,632.50

Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.

Learn more about compounding interest at https://brainly.com/question/3989769

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HELP!!! MARKING BRAINLIEST!!!

Answers

Answer:

I'm pretty sure it's an open circle on 22 pointing to the right

Answer:

It would be h>22. So graph it at 22.

Step-by-step explanation:

Was it correct?? Hope this helps!!

The first five terms of a sequence are:

4, 20, 100, 500, 2500, ...

What is the common ratio of the function?

Question 6 options:

Answers

Answer:

5

Step-by-step explanation:

Each number is multiplied by 5 to get the next one

Answer:

5

Step-by-step explanation:

Help me pls pls pls p

Answers

Answer:

L= 90, M=53, K=37

Step-by-step explanation:

Tilt your phone/computer to the right, and you'll see the 90° angle for L. Now you're left with two more, and just compare which angle is bigger, K or M. M is bigger, so you apply the bigger number out of the you got which is 53. Now no doubts, K is 37.

Find the highest common factor of 360 and 900

Answers

Answer:

180

Have a wonderful day!


20 POINTS
The Constant of Proportionality is a constant rate of change that is equal for all given information.

true or false?

Answers

Answer:

It will be True

Hope it's help

These numbers are common multiples of ________.

6, 12, 18, 36

A) 2 and 4

B) 2 and 3

C) 3 and 4

D) 4 and 6

Answers

From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

What are common multiples?

Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.

To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:

6 = 2 x 3

12 = [tex]2^2[/tex] x 3

18 = 2 x [tex]3^2[/tex]

36 = [tex]2^2[/tex] x [tex]3^2[/tex]

To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...

Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.

To learn more about Common multiples from given link.

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Can someone please check my answer?!

Answers

Answer:

You answered it correctly :)

Step-by-step explanation:

3 (x – 1 ) + 4 ( x + 2 )

Answers

Answer:

7x + 5

Step-by-step explanation:

Let's simplify step-by-step.

3(x−1)+4(x+2)

Distribute:

=(3)(x)+(3)(−1)+(4)(x)+(4)(2)

=3x+−3+4x+8

Combine Like Terms:

=3x+−3+4x+8

=(3x+4x)+(−3+8)

=7x+5

-Bacon

How long does it take $150 to grow to $600 at 5% annual percentage rate compounded continously? Round to the nearest whole number. Must show work.

Answers

Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

Plz help will mark brainliest

Answers

Answer:

Parallel Line: -1/4x Perpendicular Line: 4x

Step-by-step explanation:

PLEASE HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

I think 40 visitors

Step-by-step explanation:

I am not 100% sure

Answer:

c. 50 visitors

Step-by-step explanation:

you can see that hiking is 1/4th of the circle

because it is a right angle

choose all of the statements that correctly compare the two functions shown (brainliest)​

Answers

Answer:

one of the answers is c

Step-by-step explanation:

Approximately 45% of films are rated R if 850 films were recently rated how many were rated R

Answers

Answer:

382.5?????

Step-by-step explanation:

because 850×45% its that

Please answer I’ll make brainliest. I have other questions too that I’ll be posting shortly

Answers

Answer:

13.3

Step-by-step explanation:

13.3. E eeeeeeihuggufuyfdyyfhccuugfuftxyfyzilycidsitcsitcditidtsfixixsfidfsticsticidffiscifs

PLEASE HELP

A company's human resources (HR) department wants to find out what proportion of the company's 1,500 employees regularly visit the in-office recreational room. Throughout a week, HR assistants randomly handed out surveys to employees as they entered the office building every day, until 400 different employees confirmed or denied they visited the recreational room on a regular basis. The survey found that over 30% of the employees who completed the survey visit the recreational room on a regular basis. Which assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis?

А. No assumptions can be made about the approximate proportion of all employees who visit the recreational room because the sample is blased.
B. The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.
C. The approximate proportion of all employees who visit the recreational room will be greater than the sample proportion because it is a larger group of employees.
D. No assumptions can be made about the approximate proportion of all employees who visit the recreational-room because the sample size is too small. ​

Answers

Answer:

The answer is B

Step-by-step explanation:

The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.

What is a survey?

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

The assumption can be made regarding the proportion of all the employees who visit the recreational room on a regular basis is:

B.) The approximate proportion of all employees who visit the recreational room will be similar to the sample proportion because the sample accurately represents the population.

Learn more about Survey:

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HELPPP PLEASEEE I need it like for real

Answers

Answer:

51

Step-by-step explanation:

Please show work! !!!!!!!!!!

Answers

Answer:

18 feet

Step-by-step explanation:

divide 12 by 2 and you have a side length, because of the midpoints

the perimiter in this case would be 6x3=18

18 feet yeah your welcome i can’t show my work i searched it up lol have good day

Please Help!!
On answering the questions

Answers

Answer:

They both have paper

Step-by-step explanation:

Crayons have paper wrapped around them and a newspaper is made of paper. & they both can be recycled

What is 0.22 divided by 11

Answers

Answer:

The answer is 0.02

This is the answer... 0.02

what explorer traveled north along the Mississippi river?

Answers

Answer:

water

Step-by-step explanation:

water

+river

100 + 2x = 12x - 10
plsplsplspls help

Answers

Answer:

x=11

Step-by-step explanation:

100+2

Solve the system of
equation using the
elimination method.
2x + y = 4
x - y = 2

Answers

Answer:

x=2

y=0

Step-by-step explanation:

I use symbolab it helps

Right answer gets brainlist

Answers

Answer:

1.67

Step-by-step explanation:

Do 15/9=1.67

Answer:

9 over 15

Step-by-step explanation:

dan buys a car for £2,200 it depreciates at a rate of 0.5% per year how much would it be worth in 6 years

Answers

Given:

The initial value of car = £2,200

Depreciation rate = 0.5%

To find:

The worth of car after 6 years.

Solution:

Exponential decay model:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of depreciation and t is number of years.

Putting a=2200, r=0.005 and t=6, we get

[tex]y=2200(1-0.005)^6[/tex]

[tex]y=2200(0.995)^6[/tex]

[tex]y=2200(0.9703725)[/tex]

[tex]y=2134.8195[/tex]

[tex]y\approx 2134.82[/tex]

Therefore, the worth of the car after 6 years is £2134.82.

Belinda has a savings account. Every month she deposits $30 in it. The graph shows the relationship between the months and the balance of Belinda's savings account.

Write an inequality to show when Belinda will have more than $120 in her savings account.

Answers

Answer:

Lets say that m is months

Every month she deposits 30 so that is 30m

lets say t is time

t = 30m > 120

After 4 months, she will have exactly $120. In 5, she will have more.

Step-by-step explanation:

Solve the following quadratic equation.
(1 - 18)2 = 1
OA
x = 19 and x = 17
OB.
x= -19 and x = .17
OC. x= -19 and x = 17
D.
x = 19 and x=-17

Answers

Given:

Consider the given equation is

[tex](x-18)^2=1[/tex]

To find:

The values of x.

Solution:

We have,

[tex](x-18)^2=1[/tex]

Taking square root on both sides, we get

[tex]x-18=\pm\sqrt{1}[/tex]

[tex]x-18=\pm 1[/tex]

Adding 18 on both sides, we get

[tex]x-18+18=\pm 1+18[/tex]

[tex]x=\pm 1+18[/tex]

Now,

[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]

[tex]x=19[/tex] and [tex]x=17[/tex]

Therefore, the correct option is A.

125 = 5 missing exponent

Answers

Step-by-step explanation:

5³ that's yo answer!!!!!!!!!!!!!!?

can I have brainliest

Answer:

Well, I don't really understand the question, but if your looking for the missing exponent it would be:

125=5x

or 5^3 is 125.

Step-by-step explanation:

help it is due in 10 mins

Answers

Answer:

independent- hours

dependent- money earned

the amount of money you make depends on the amount of hours you babysit

y=8x

Step-by-step explanation:

Find the surface area of the net.

Answers

Answer:

700

Step-by-step explanation:

5 x 20= 100

5 x 20= 100

10 x 20= 200

10 x 20= 200

5 x 10= 50

5 x 10= 50

100+100+200+200+50+50=700

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