The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.​

Answers

Answer 1

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].


Related Questions

Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of One-third off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?

Answers

Answer: I think it's 1.80

Answer:

B

Step-by-step explanation:

Bryan calculated the area of a square to be 18/32 square foot. Which shows the side length of the square? (Hint: Simplify. Also, area of a square is side x side.)

Answers

Answer:

x = 0.75 feet

Step-by-step explanation:

The area of a square is 18/32 square foot

We need to find the side length of the square.

The area of a square of side x is given by :

[tex]A=x^2[/tex]

Substitute all the values,

[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]

So, the side length of the square is equal to 0.75 feet.

The product of 3 and 2, increased by 5 to the second power , minus the quotient and 8 and 2

Answers

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Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

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- Zack Slocum

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Find the surface area of the regular pyramid. Write your answer as a decimal.

It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.

Answers

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE

Answers

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

Find the x in each triangle

Answers

Answer:

hi

Step-by-step explanation:

you can find the answer according to the Pythagorean theorem

1.

[tex] {5}^{2} + {x}^{2} = {13}^{2} \\ 25 + {x}^{2} = 169 \\ {x}^{2} = 169 - 25 \\ {x}^{2} = 144 \\x = \sqrt{144} \\ x = 12 \: dm[/tex]

2.

[tex] {10}^{2} + {24}^{2} = {x}^{2} \\ 100 + 576 = {x}^{2} \\ {x}^{2} = 676 \\ x = \sqrt{676} \\ x = 26 \: in[/tex]

hope it helps

have a nice day

21 m
15 m
Which is closest to the length of XY?

Answers

Answer:

18.0 i think

Step-by-step explanation:

Which of these show a set of equivalent expressions ? select all that apply

Answers

A, C, E are correct
See work you in photo below
Good luck

Express 4 hours on seconds and leave answer in standard form

Answers

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

how do I solve the value of this​

Answers

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer and Step-by-step explanation:

Let's put the information given into equations.

Let's also denote x as individual songs and y as albums.

Charlene -  6x + 2y = 25.92

Keisha -  4x + 3y = 33.93

Those above equations is answer choice option, which is D.

So, D is the correct Answer.

#teamtrees #PAW (Plant And Water)

What is the area of a square, rectangle, or parallelogram?

Answers

Answer:

area of a square= length ²

area of a rectangle=length*breadth

area of parallelogram=base *height

What is the value of X?

Answers

Answer:

23

Step-by-step explanation:

83+3x+90+x+95= 360

4x= 360-83-90-95

4x= 92

x= 23

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Answers

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

any answers please help me out

Answers

E⁣⁣⁣⁣xplanation i⁣⁣⁣⁣s i⁣⁣⁣⁣n a f⁣⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

plzzz helpppp reward brainliestttt

Answers

Answer:

The answer of this question is,

The answer of first question is point 2 and the answer of second question is point 3, look at the picture

SYTEM OF INEQUALITIES , 65 points.
HELP

Answers

Answer:

[tex]2x+3y\geq 60\\x>10[/tex]

Step-by-step explanation:

We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.

Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].

Therefore the system of inequalities is:

[tex]2x+3y\geq60\\x>10[/tex]

Hope this helps!

if U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2​

Answers

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

π= 22/7

r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

r = 13/4 = 3 1/4

BRAINLIEST!!! See pic BELOW!!!

Answers

i think it would be A since i think both sides have to be 160°

Answer:

160° = (10x + 50°) [Vertically Opposite Angles]

[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]

Option A. 11 is the correct answer.

Write the number 6,800 in scientific notation.

Answers

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Number 7 please help 10 points no links pleAse

Answers

Answer:

Option C : 25

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

Who is the volume of a sphere that has the radius of 3 inches

Answers

Answer:

113.1

Step-by-step explanation:

i just did the math

Answer:

113.1 is the answer

I just multiplied

solve the following equation
x/3 +4 =7

Answers

Answer:

Sorry if im wrong..

Step-by-step explanation:

7 = (7 x)/3 + 4 = 21 x + 4 = 7

X/3+4=7
-4 -4

X/3=3
3.3 3.3

X=9

Please help me out please

Answers

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

The circumference of a circle is 2\piπ m. Find its radius, in meters.


NO FILES TYPE THE ANSWER PLZ

Answers

Answer: r=C2π=22·π≈0.31831

Hope this helps!

A graph of f(x) = 6^2 - 11x + 3 is shown on the grid
What are the zeros of f?

A. 3
B. 2 and 9
C. 11/12
D. 1/3 and 3/2

Answers

The answer is D
Use Conects

I will give brainliest please help

Answers

Answer:

x^5y^5

Step-by-step explanation:

here's your solution

=> if base are same then power get added in multiplication

=> so, x^2 * y^4 * x^3 * y^1

=> x^2 * x^3 * y^4 * y^1

=> x^5*y^5

hope it helps

X^5,y^5 because you add the two and three and get five so it’ll be x to the fifth power then you add four and one but there isn’t a number on the y at the end so that automatically makes it one so add four and one you get five so therefore the answer is x^5,y^5

2. The mean weight of the students on the

Trail Middle School wrestling team is 150

pounds with a mean absolute deviation of

10 pounds. The mean weight of the

students on the Burlington Middle School

wrestling team is 130 pounds with a mean

absolute deviation of 10 pounds. By how

many pounds is the mean weight of the

students on Trail's team greater than the

mean weight of the students on

Burlington's team?

Answers

Answer:

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

Step-by-step explanation:

Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School  wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.

Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]

The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School  wrestling team

In rectangle ABCD the slope of AB is 1/2 what is the slope of CD

Answers

Answer:

there is no picture of what i need to solve

Step-by-step explanation:

a woman sold an article for 400.00and made a profit of 25%,Find ty cost price and profit​

Answers

Answer:

$100 profit, $300 cost

Step-by-step explanation:

So 25% of $400 is $100, now we know she made $100 on the article

and the other $300 was the amount used to make the article i'm asuming

A woman sold an article for 400.00

made a profit of 25%

Cost price and profit​ is $100 profit, $300 cost.

What are the 4 types of profit?

There are four levels of profit or profit margins: gross profit, operating profit, pre-tax profit, and net profit.

These are reflected on a company's income statement in the following sequence: A company takes in sales revenue, then pays direct costs of the product of service.

What is profit and example?

Profit is a term that often describes the financial gain a business receives when revenue surpasses costs and expenses. For example, a child at a lemonade stand spends one quarter to create one cup of lemonade. She then sells the drink for $2. Her profit on the cup of lemonade amounts to $1.75.

To learn more about Profit, refer

https://brainly.com/question/12225249

#SPJ2

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