Write an equation of a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3

Answers

Answer 1

Answer:

y = (-3/5)x + 4

Step-by-step explanation:

Parallel lines have the same slope.

So the slope to the other line would be -3/5 as well.

Slope-intercept form is y = mx + b where m is the slope.

So you substitute the slope in making it y = (-3/5)x+b.

To find b, the y-intercept, you have to plug in the point for y and x in it. So you use the point (5,1) for it. That would get to 1 = (-3/5)5 + b.

To simplify that, it would get to 1 = -3 + b

Then you add 3 on both sides getting to b = 4.

Then you substitute b in, getting y = (-3/5)x + 4.

Hope this helped! If not, please let me know! <3

Answer 2

An equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

Given that, a line that passes through the point (5,1) and is parallel to the line y= (-3/5)x -3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, the slope of a line parallel to given line is m1=m2

By comparing y= (-3/5)x -3 with y=mx+c, we get m= -3/5

So, the slope of parallel line is -3/5

Now, put m= -3/5 and (x, y)=(5, 1), that is

1=-3/5 (5)+c

c= 4

So, equation with m=-3/5 and c=4, we have y=-3/5 x+4

Therefore, an equation of a line that passes through the point (5,1) and is parallel to the given line is y=-3/5 x+4.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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Related Questions

which representation does not show y as a function of x​

Answers

J because the x value is used more then once.

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
What can Vector report to his local Biogas Club about the results of his experiments? ​

Answers

Answer:

About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.

Iready 100%

Answer:

The range is more consistent with pure cow manure, but the mixture of cow manure and mashed bananas creates more biogas overall.

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?

Answers

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

I need some help on geometry

Answers

Answer:

Angles 1 and 3 are 151 degrees and angle 2 is 29 degrees

Step-by-step explanation:

2 and 4 are opposites so they will be the same measurement and 1 and 3 are easy to find. Just subtract 29 from 180.

The occupancy rate of a motel is the percentage of rooms that are occupied on a particular night. The
histogram below summarizes the occupancy rates for a random sample of 100 nights for a motel.
0.35
0.30
0.25-
0.20-
0.15-
0.10-
0.05
0+
0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95
Motel Occupancy Rate
Based on the histogram, which of the following values could represent Q3?
Relative Frequency
(A) 0.24
(B) 0.63
(C) 0.67
(D) 0.71
(E) 0.75

Answers

For the given table, the third quartile is given by:

(D) 0.71.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is the 25th percentile.The third quartile is the median of the second half of the data-set, which is the 75th percentile.

Given a cumulative frequency table, the third quartile Q3 is the value when the sum of the frequencies is of 0.75.

From the frequency table, we have that:

A rate of 0.65 is the 30th percentile.A rate of 0.7 is the 57th percentile, as 0.3 + 0.27 = 0.57.A rate of 0.75 is the 80th percentile, as 0.57 + 0.23 = 0.8.

Hence the 75th percentile is between 0.7 and 0.75, meaning that option D is correct.

More can be learned about the quartiles of a distribution at https://brainly.com/question/28168026

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than the width. What are the dimensions of this box? Give your answer in the form l,w,h as comma separated values. For example if the box has a length of 1, a width of 2, and a height of 3, you would submit the answer 1,2,3.

Answers

Answer:

Length = 8 inches

Width = 4 inches

Height = 6 inches

Step-by-step explanation:

Volume of the box = 192 cubic inches

Volume of a box = length × width × height

Let

Width = x

Length = 2x

Height = x + 2

Volume of a box = length × width × height

192 = 2x * x * (x + 2)

192 = 2x^2 (x + 2)

192 = 2x^3 + 4x^2

Divide through by 2

96 = x^3 + 2x^2

Subtract 96 from both sides

x ^3 + 2x^2 - 96 = 0

Factorise

(x - 4) (x^2 + 6x + 24) = 0

x^2 + 6x + 24 has no real x-value

So,

Divide both sides by (x^2 + 6x + 24).

0 ÷ (x^2 + 6x + 24) = 0

So,

(x - 4) = 0

x = 4

Width = x = 4 inches

Length = 2x

= 2(4)

= 8 inches

Height = x + 2

= 4 + 2

= 6 inches

Check:

Volume of a box = length × width × height

= (8 * 4 * 6) inches

= 192 inches

A concert started at 5:22 PM on a Friday. The concert ended at 7:04 PM. How long did the concert last?

Answers

Answer: 1 hour 42 minutes

Answer:

1 hour and 42 minutes

Step-by-step explanation:

I need it asap HELP ME PLEASE​

Answers

Answer:

x=-38

Step-by-step explanation:

8x+51=6x-25

2x= -76

x= -38

The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers

Answers

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Which best describes what forms in nuclear fusion?

a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei

Answers

Answer:

I guess Letter B. One Larger, More stable nucleus

It produces nearly all the elements that are heavier than helium..

Answer:

Answer A

Step-by-step explanation:

Edge 2021

is 16π rational or irrational

Answers

Answer:

The square root of 16 is a rational number. The square root of 16 is 4, an integer.

Answer:

it is irrational

Step-by-step explanation:

but since the digits in π (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction. Therefore it is an irrational number.Mar 14, 2017

Evaluate f(x)=2x-7 when x=-2,0 and 3

Answers

Answer:

Step-by-step explanation:

A) y = 2x – 7  and f(x) = 7 – 2x

Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

 

B) 3x = y – 2  and f(x) = 3x – 2

Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

 

C) f(x) = 3x2 + 5 and y = 3x2 + 5

Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.

 

D) None of the above

Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)

Answers

Answer:

1.5 weeks

Step-by-step explanation:

Given

[tex]Earnings = 770.98[/tex] weekly

[tex]Amount\ Left = 385.49[/tex]

[tex]Game\ Cost = 1541.72[/tex]

Required

Determine the time taken to save up

Represent the time with t

The relationship between the given parameters can be expressed as:

Amount + Earnings in t weeks = Game Cost

This gives:

[tex]385.49 + 770.98t = 1541.72[/tex]

Collect Like Terms

[tex]770.98t = 1541.72 - 385.49[/tex]

[tex]770.98t = 1156.23[/tex]

Solve for t

[tex]t = 1156.23/770.98[/tex]

[tex]t = 1.49968870788[/tex]

[tex]t = 1.5[/tex] Approximated

Which statement is equivalent to the inequality 1/2x+3<2x-6?



Please help me fast

Answers

Answer:

x > 6

Step-by-step explanation:

Hi there !

1/2 x + ²⁾3 < ²⁾2x - ²⁾6

x + 6 < 4x - 12

6 + 12 < 4x - x

18 < 3x

3x > 18

x > 18/3

x > 6

Good luck !

recipe call for 5 teaspoons of seasoning for every 7 batches of chicken. If you have 14 batches of chicken, how many teaspoons of seasoning will you need?

Answers

Answer:

10 teaspoons

Step-by-step explanation:

Please help within the next hour

Answers

Answer:

it's x= 1±sqrt(47)

Step-by-step explanation:

for each ordered pair, determine whether it is a solution to 7x+3y=2

the ordered pairs:
0, -8
-1, 3
2, -4
5, 2

Answers

Answer:

Step-by-step explanation: i thimk 5,2

In the state of New Mexico, 85% of the land is above 4,000 feet in elevation.
Which fraction is equivalent to 85%?
A) 4/5
B) 5/8
C) 17/20
D) 1/85

Answers

Answer:

85 % = 17/20

Step-by-step explanation:

It is given that,

85% of the land is above 4,000 feet in elevation.

We need to write a fraction that is equivalent to 85%.

We know that, percent means dividing by 100 i.e.

[tex]85\%=\dfrac{85}{100}[/tex]

We can write 85 as 17×5 and 100 as 20×5

So,

[tex]\dfrac{85}{100}=\dfrac{17\times 5}{20\times 5}[/tex]

5 will cancel out from numerator and the denominator

[tex]\dfrac{85}{100}=\dfrac{17}{20}[/tex]

Hence, the correct option is (c).

I NEED HELP PLEASE!!!!
Find the slope of the line passing through the points (-6,-5) and (4,4)

Answers

Answer:

m = [tex]-\frac{1}{10}[/tex]

Step-by-step explanation:

To find the slope you use the equation y2-y1 / x2 - x1. For this problem, it would be 4 - - 5/ 4 - - 6. If we simplify this you will get 9/10. Therefore, The slope of the line will be 9/10.

Which equation. Represents a line that is parralel to y = -2x-5

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Two parallel lines have the same slopes thus ;

The line which we want should in form like this :

y = - 2 x + h

(( h )) can be any positive and any negative number.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.

Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?

HELP PLS

Answers

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Hope this helps. :)

Benny bought 6 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 31 cards left. How many cards did Benny start with ?​

Answers

Half is 31 multiplied by 2 will equal 62 minus the 6 new cards is equal to 56 cards

PLEASE HELP AND SHOW HOW YOU GOT THE ANSWER PLEASEEE

Answers

Step-by-step explanation:

Hey there!

The points are; A(-2,3) and B(X,-5). And the distance between them is (√80) units.

We have;

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Keep all values.

[tex] \sqrt{80} = \sqrt{ {(x + 2)}^{2} + {( - 5 - 3)}^{2} } [/tex]

Squaring on both sides.

[tex] { (\sqrt{80}) }^{2} = ( { \sqrt{( {x + 2)}^{2} + ( { - 8)}^{2} } )}^{2} [/tex]

Simplify them.

[tex]80 = ( {x + 2)}^{2} + 64[/tex]

[tex]( {x + 2)}^{2} = 80 - 64[/tex]

[tex]( {x + 2)}^{2} = 16[/tex]

[tex]( {x + 2)}^{2} = {4}^{2} [/tex]

Cancel square from both sides.

[tex]x + 2 = 4[/tex]

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

Hope it helps....

(80)2=((x+2)2+(−8)2)2

Simplify them.

80 = ( {x + 2)}^{2} + 64

80=(x+2)2+64

( {x + 2)}^{2} = 80 - 64

(x+2)2=80−64

( {x + 2)}^{2} = 16(x+2)2=16

( {x + 2)}^{2} = {4}^{2}

(x+2)2=4^2

Cancel square from both sides.

x + 2 = 4

X= 4-2

Therefore, X= 2.

The x-coordinate of B is 2.

3(x + 6) — 2(x + 2) > 10

Answers

Answer:

x > -4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x + 14 > 10

Step 2: Subtract 14 from both sides.

x + 14 − 14 > 10 − 14

x > −4

Hope it helps!

You are helping your older sibling look for an apartment. There are 2 final choices. Apartment A is $1200 per month and requires a security deposit of $1000. Apartment B is $1175 per month and requires a security deposit of $1500. How many months will it be before the costs are the same?

Answers

Answer:

20 months.

Step-by-step explanation:

Let the number of months be represented as x

Apartment A is $1200 per month and requires a security deposit of $1000.

= $1200 × x + $1000

1200x + 1000

Apartment B is $1175 per month and requires a security deposit of $1500.

= $1175 × x +$1500

1175x + 1500

Apartment A = Apartment B

1200x + 1000 = 1175x + 1500

Collect like terms

1200x - 1175x = 1500 - 1000

= 25x = 500

x = 500/25

x = 20

Therefore, the costs for both apartment A and B will be the same after 20 months.

What is the slope of a line perpendicular to y=4/3x+4

Answers

the answer is perpendicular = -4/3

Answer:

-3

Step-by-step explanation:

i need help with finding the value of x ​

Answers

Answer:

Step-by-step explanation:

7x-2=11x-34

-2+34=11x-7x

32=6x

x=32/6=16/3

will be nice if you give me brainlies.Good luck!

help me out people, ill give brainliest to whoever answers best :P

Answers

Answer:

2 a

No the solution is not the same for both moves.

because the result is not the same.Also the first move lead to an error.

2 b

The solution is d=0

what would an equation be for 6 bags of flyers each bag containing 12 flyers

Answers

Answer:

6x12

Step-by-step explanation:

Answer:

6 multiplied by 12

Step-by-step explanation:

you have 6 bags, each bag contains 12 flyers

need help with this problem please​

Answers

y = -1/6 x + 2 is the answer!
hope this helps
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