Mathematics High School

The equation of a line is 3x−5y=8. Select three lines that are parallel to the given line.

Answers

Answer 1

Answer:

The Given Equation is

3x - 5y = 8

Slopes of paralell lines are equal

So option 3, 4, 5 are correct

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Hope it helps..

Have a great day!!!

Answer 2

All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of parallel line is,

⇒ 3x - 5y = 8

Slope of parallel lines are,

⇒ m = 3/5

Now, We know that;

Slope of parallel lines are same ton each other.

For equation 1;

5x - 3y = 1

3y = 5x - 1

y = 5/3x - 1

dy/dx = 5/3

For equation 2;

9x - 10y = 16

10y = 9x - 16

y = 3/5x - 1

dy/dx = 3/5

For equation 3;

10y = 6x + 12

y = 6/10x + 12

dy/dx = 6/10 = 3/5

For equation 4;

12x - 20y = 24

20y = 12x - 24

y = 12/20x - 1

dy/dx = 12/20 = 3/5

For equation 5;

3x - 5y = 1

5y = 3x - 1

y = 3/5x - 1

dy/dx = 3/5

Thus, All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

Learn more about the equation of line visit:

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Related Questions

Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты

Answers

Answer:

I do not understand ummmm

There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use

Answers

Answer: They were able to use 665 pencils

Step-by-step explanation: You would simply do 8,454 - 1,789=665

Give Brainliest please :)

Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2

Answers

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

3:9

Total amount of shapes there are: 9
Amount of triangles there are: 3

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

Please Mark Brainiest

Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!

Answers

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Answer:

61.2 decimeter.

Step-by-step explanation:

2. Jill swam 200 meters in 2 minutes 42 seconds. If each lap is 50 meters long,

which is MOST LIKELY to be her time, in seconds, per lap?

Answers

Answer:

40.5

Step-by-step explanation:

there are 4 laps in 200 metres.

(200m÷50m)

2min 42 sec=120 sec+42sec (162sec)

so,

162÷4=40.5

A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.

Answers

Calculate the side length of the enlarged picture

Answer:

Hence, final picture will have a side length of 1.02 foot

Step-by-step explanation:

Side length of square photo, s = 0.17

Original dimension = (0.17 by 0.17)

Enlarged photo = double the original dimension:

2 * (0.17 * 0.17)

(0.34 * 0.34)

Second enlargement = Tripling the new dimension:

3 * (0.34 * 0.34)

(1.02 * 1.02)

Hence, final enlarged dimension = (1.02 * 1.02)

Hence, final picture will have a side length of 1.02 foot

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.

Give your ratio in its simplest form.

Answers

the ratio is 1-4,5 or 2-9 if you want whole numbers where the slower number are the bananas and the higher the apples

Answer:

1,260:280

1,260 to 280

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

I need 5

This is the picture..

Answers

Answer:

What are the options?

CPCT?

HELPPP ARE IMA GET AH BEATING AHA TY

Use the simple interest formula to find the end balance. Round your answer to the nearest cent (hundredths place).

$55,000 at 2.5% for 5 years

a
$6,875
b
$68,750
c
$61,875
d
$123,750

Answers

Answer:

a) $6,875

Step-by-step explanation:

S.I. = P×R×T/100

= 55,000 × 2.5 × 5/100

= 687500/100

= $6,875

Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?

Answers

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

I need help asap !!!!

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

Step-by-step explanation:

Pythagrean Theorem is on C

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

Is -2 x 4 positive or negative? please help i have 19 missing assignments

Answers

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

hello please help i’ll give brainliest

Answers

Step-by-step explanation:

I think Gold is the correct answer. Thanks.

Pretty sure the answer is Alloys.

pls help me first of all how do you add a photo?

Answers

Answer:

there should be a "paper clip" sign

Step-by-step explanation:

then go to it click it and pick or take a photo

what is the value of v in the equation -25=-(4v+7)+10

Answers

Answer:

-25 = -(4v+7)+10

-25 = -4v-7+10

-25 = -4v+3

4v = 3+25

4v = 28

v = 28 ÷ 4

v = 7

Answer:

Therefore the value of v in the equation is 7

Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

Answers

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]

Formula:

[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

For d1:

[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]

[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]

[tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]

For d2:

[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]

[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]

[tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]

The first distance value is greater than the second distance value.

You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .

Answers

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.

Answers

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

Three pairs of shoes cost $108. If each pair costs the same, how much does each one cost?

A.$32

B.$34

C.$36

D.$38

Answers

Answer:

C: 36

Step-by-step explanation:

There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.

36

108 divided by 3 is 36

What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answers

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

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

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

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

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

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