Find the equation of the line.
A line that is parallel to the graph of 2x+3y=5 and contains the point (3,1)

Answers

Answer 1

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes, then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{3}[/tex] x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line


Related Questions

Together they swam a total of 175 laps. Swimmer B swam 25 more than twice as many laps as Swimmer A.

Answers

Answer:

75

Step-by-step explanation:

175= 25+2a

The number of laps that Swimmer A swam was 50 laps.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we suppose that:

Swimmer A swam x lapsSwimmer B swam y laps.

Then, according to the given data, we have:

x + y = 175 laps

y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).

Thus, we get a system of two equations as:

[tex]x + y = 175\\y = 25 + 2x\\[/tex]

From second equation, putting value of y in first equation, we get:

[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]

As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.

Learn more about solving system of linear equations here:

https://brainly.com/question/13722693

PLEASE HELP!!!

sin 0 = 9/41. Find tan 0.​

Answers

Answer:

B. 9/40

Step-by-step explanation:

just got the answer

The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric ratio:

As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

sinθ = 9/41

sin is the ratio of the side opposite to the hypotenuse.

From the Pythagoras theorem:

Adjacent side² = hypotenuse² - opposite²

Adjacent side² = 41² - 9²

Adjacent side = 40

tan is the ratio of the side opposite to the adjacent

tanθ = 9/40

Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False


Answer is false

Answers

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

I NEED HELP PLEASE- ‼️‼️‼️

Answers

Answer:

18x^2 - 30x

Step-by-step explanation:

Distribution:

You just have to distribute 6x by each term in the parenthesis.

Equation: 6x(3x-5)

(You can also think of it as: 6x * 3x + 6x * -5)

18x^2 - 30x

This is as simplified as can it can be.

(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).

6. Monthly Mortgage payments can be found using the formula Below:

M-PG2)(1+1)"

(1+12"-1

M = monthly payment

P = amount borrowed

r=annual interest rate

n = number of monthly payments

The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment

was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.

Answers

Answer:  your equation is poorly written/wrong hence I used the equation below

answer :  $289156.63

Step-by-step explanation:

applying the formula to calculate monthly repayment of Mortgage

M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]  -----  ( 1 )

M = Total monthly payment = 800 * 12 * 30 = $ 288,000

P = ?

r = 5.2% / 12 = 0.4%

n = 30 * 12 = 360 months

Back to equation 1

P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]

   = 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]

   = 288,000 / -0.996  =  - $289156.63 ( It has a negative value because It is a loan borrowed )

What is the slope of a line perpendicular to the line whose equation is x + 3y = -12

Answers

Answer:

5

Step-by-step explanation:

,

One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Can someone help please and thanks

Answers

answer is 7.5

[tex] {9}^{2} = {5}^{2} + {x}^{2} \\ 81 = 25 + {x}^{2} \\ - 25 \: \:- 25 \\ 56 = {x}^{2} \\ \sqrt{56} = \sqrt{x} \\ 7 .4833... \\ 7.5[/tex]

will 5 star worth 76pts

Answers

Answer:

i can't see anything

Step-by-step explanation:

Pls aware rn I need this no links

Answers

Answer:

23 degrees

Step-by-step explanation:

. that is the answer

I NEED HELP WITH THIS MATH PROBLEM

Answers

Answer:

Step-by-step explanation:

9.8 divided by 100

Answer 0.098 km/liter

Help please
ТУ
3
2
10
-5-4-3-2 2 3 4 5
((-2. -12 (0-1)
-3
15
x= -2
Oy= -2
O y= -1
Ox=0

Answers

Answer:

I think it is y = - 1

Step-by-step explanation:

I hope that is useful for you :)

explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Answers

Answer:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Step-by-step explanation:

Given

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Required

Convert to radical form

[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]

Evaluate the exponents

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]

[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]

Split the exponent

[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]

Apply the following law of indices

[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]

So, we have:

[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]

Can I get help?
I don’t know how old he is?

Answers

Answer:

B

Step-by-step explanation:

If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.

Will Give Brainliest
Let ​ x2+8x=7 .​

What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.

​​x2+8x+ ? ​= ​?

Answers

Answer:

4/6

Step-by-step explanation:

im smart trust

All of my points to these "simple" questions

Answers

Answer:

x = 66°

∠MON = 57°

x = 13°

Step-by-step explanation:

To tired to explain, just take my word for it...

Answer:

1.

X=66

2.

57

3.

13

Step-by-step explanation:

Good luck .

Could somebody do this for me

Answers

Answer:

Step-by-step explanation:

Please help me with these!!

Answers

Answer:

Physics: 40℅

Chemistry: 20℅

Other: 90℅.

Hope you like my answer.

Please help me, much appreciated

Answers

Answer:

3 numbers are less than the mean. the mean is 17.4 so any number below that

-3×4y = (4+5y)-72 answer fast with steps plz

Answers

Answer:

-12y=5y-68     true for all X

Step-by-step explanation:

-3x4y=(4+5y)-72

simplify:

-3x4y=12y

simplify:

(4+5y)-72

remove parentheses:

4+5y-72

subtract the numbers:

4-72= -68

=5y-68

-12y=5y-68

Answer:

the answer would be 4

Step-by-step explanation:

−3(4y)=4+5y−72

−12y=4+5y+−72

−12y=(5y)+(4+−72)(Combine Like Terms)

−12y=5y+−68

−12y=5y−68

Step 2: Subtract 5y from both sides.

−12y−5y = 5y−68−5y

−17y= −68

Step 3: Divide both sides by -17.

−17y                    -68

------------       =   -----------

-17                        -17

y = 4

A bag of apples weighs 7 4/10 pounds.a crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit

Answers

Answer:

44.4

Step-by-step explanation:

7 4/10x5=37

37+7 4/10=44.4

Find the GCF of the group of monomials

9a^2b^3 and 15ab^2 and 21a^4b^3

Answers

Answer:

3ab^2

Step-by-step explanation:

The GCF of 9, 15, and 21 is 3.

The GCF of a^2b^3, ab^2, and a^4b^3 is ab^2.

The answer is the product of the two terms which is 3ab^2.

Mr. Brooks has a rope that is 8 feet long. He cuts half of the rope into 1/4 foot long pieces. How many pieces does he cut?

Answers

Answer:

32

Step-by-step explanation:

Can someone explain how they got the answer to this?

Answers

Answer:

you need to solve for x.

5x+10=20

    -10 -10

5x=10

/5   /5

x=2

Step-by-step explanation:

let me know if this wasn't what you were asking for.

Answer:

x=2

Step-by-step explanation:

5x + 10 = 20

    - 10     -10

5x = 10

5x/5 = 10/5

x = 2

hope this helped :)

I suck at math
The math problem is below

Answers

Answer:

Brooklyn earns four more dollars than Anna does each hour.

Step-by-step explanation:

So basically in order to get the amount ech of them recieve you would have to divide. So for Anna's since her least given number is 10 hours you would divide how much she earns (256) by how many hours she has been working (10) and you get 25.6

Now for Brooke she is given only one piece of evidence so you would use that she has been working for 26 hours and earns 769.6. So divide her earning by the hour and get 29.6

Subtract each of the answers (29.6-25.6) and you would get 4

Sorry if it doesn't make sense I was trynna rush and give you the answer

Answer:

Brooklyn earns four more dollars than Anna does each hour.

Step-by-step explanation:

Help ASAP I’ll mark you as brainlister

Answers

Answer:

22π

Step-by-step explanation:

C = 2πR

C = 2π(11)

C = 22π cm

Help please homework

Answers

Answer:

Y=7

Step-by-step explanation:

(X,Y) or (-2,?)

X=-2

4×(-2)-4y=20

-8-4y=20

-4y=20+8 /÷(-4)

Y=7

Please answer these and don’t just type in random things so u can get the points , I wanted to give 50 but I don’t trust some of you with answering.

Answers

Answer:

2) 6,290

3) 13,540

Step-by-step explanation:

Formula for each question:

Amount of money made = Base salary + (Amount sold × Commission percentage)

2)

17% = 0.17

0 + (37000 x 0.17)

6290

3)

6% = 0.06

10000 + (59000 x 0.06)

10000 + 3540

13,540


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

B is the correct answer
Brainliest would be nice

Answer:

Carl is correct. So the 2nd option

Step-by-step explanation:

A rectangle- a quadrilateral

it also had 4 sides and vertices.

I hope this Helps!

square the term in the parentheses? Please help​

Answers

Answer:

There is no parenthesis here

Step-by-step explanation:

add the question or equation or problem next time

What is
7.5% tax on
a $18
sweater?

19.35 or 1.35

Answers

Answer:

$1.35 will be your answer

Step-by-step explanation:

18 x 0.075 = 1.35

Answer:

[tex]1.35[/tex]

Step-by-step explanation:

7.5% of 18$ is 1.35.

It would make no sense if the tax cost more than the actual item.

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