What is an equation of the line that passes through the point
(−6,5) and is parallel to the line x−3y=21?

Answers

Answer 1

Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

Answer 2

An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.

Parallel lines have the same slope;

x -3y = 21

y = (21-x)/-3

y = 1/3x -7

Substitute the values;

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Therefore, the equation is y = 1/3x + 7

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Related Questions

If -11 + N = -11, then N is the

Answers

Answer:

additive identity

Step-by-step explanation:

-11+N=-11     N=0

ADD 11 TO BOTH SIDES

-11+N+11   =-11 +11

(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE

N=0

*Additive Identity Property states The sum of any number and 0 is that number.  

Estimate the product. Then find the exact product.

7.9(10.1)
estimated product = 80, exact product = 7.97
estimated product = 80, exact product = 79.79
estimated product = 80, exact product = 797
estimated product = 80, exact product = 7,979

Answers

Answer:

79.79

Step-by-step explanation:



Determine the domain and range of the given function.
The domain is
The range is

Answers

What is the function?
domain: all values that go into a function
range: difference between the lowest and highest values

rolex worked 40 hours last week. he had $74 deducted from his earnings for taxes. if he had $286 left after deduction, how much does rolex earn per hour?

Answers

He earned $9 per hour

Convert 132 pounds to kilograms. Use 1 kg = 2.2 lb.

Answers

1kg = 2.2lb

1lb = 0.454kg

132lb = 0.454*132

132lb = approx 60kg

Thanks in advance!
filler filler filler filler filler

Answers

Answer:

C

Step-by-step explanation:

The base number is 2, and it's being multiplied 7 times, so 7 is the exponent

Hope this helps!

Find the slope and the y-intercept of the line.
y = 5/4x+3 ​

Answers

The slope is 5/4 and the y intercept is 0,3

Write 0.00000029 in scientific notation.

Answers

[tex]29 \times {10}^{ - 8} = 2.9 \times {10}^{ - 7} [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Any help with this plz!!! <33

Answers

Answer:

A = 37°B = 63°C = 16°

Step-by-step explanation:

The tangent function relates an angle to the measures of its adjacent and opposite sides. The inverse tangent (arctan) function can be used to find the angle from its tangent value.

  Tan = Opposite/Adjacent

   angle = arctan(opposite/adjacent)

A = arctan(3/4) ≈ 37°

B = arctan(2/1) ≈ 63°

C = arctan(2/7) ≈ 16°

Which of the following criteria always proves triangles
congruent?
Select all that apply?
(Select all that apply)
Corresponding congruent Angle-Side-Angle
Corresponding congruent Side-Angle-Side
Corresponding congruent Side-Side-Angle
3 congruent sides
2 congruent sides
3 congruent angles
Geometry

Answers

Answer:

The correct options are;

3 Congruent sides

Corresponding congruent Angle-Side-Angle

Corresponding congruent Side-Angle-Side

Corresponding congruent Side-Side-Angle

Step-by-step explanation:

The conditions for congruency are;

Two triangles are congruent when

AAS which is the acronym for corresponding Angle-Angle-Side are congruent

SAS  which is the acronym for corresponding Side-Angle-Side are congruent

SSS which is the acronym for corresponding Side-Side-Side are congruent

ASA which is the acronym for corresponding Angle-Side-Angle are congruent.

The criteria that always proves triangles

are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-Side

Option A; Corresponding congruent Angle-Side-AngleOption B; Corresponding congruent Side-Angle-SideOption D: 3 congruent sides

There are some congruence theorems that prove that two triangles are congruent and they are;

1) SSS; This means Side - Side - Side and it denotes that the 3 corresponding sides of both triangles are congruent.

2) SAS; This denotes Side - Angle - Side and it denotes that the 2 corresponding sides and the included corresponding angle are congruent.

3) ASA; This denotes Angle - Side - Angle and it means that the 2 corresponding angles and the included corresponding side are congruent.

4) AAS; This denotes Angle - Angle - Side and it denotes that the 2 corresponding angles and corresponding non-included side are congruent.

In conclusion, from the options, options A, B & D.

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A music sharing service has an initial fee of $25 and a monthly fee of $6. When a person joins the service, it costs the company $70 to create the new account. Which inequality can be used to determine how many months, m, it would take for the company to stop losing money on a new customer?

Answers

Answer: [tex]25+6m > 70[/tex]

Step-by-step explanation:

Let m = Number of months

Combined charges for music sharing service = 25+6m

Cost of joining to company = $70

According to the question,

Combined charges > Cost of joining to company  (To find number of months it would take for this)

[tex]25+6m > 70[/tex] (required inequality)

NEED ANSWER ASAP!
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph?
I WILL MARK BRANIEST

Answers

Answer:

t=0.57h

Step-by-step explanation:

4.
Convert the following times into decimal time on the 24 hour clock:
1:30 PM=
09:12 AM=
11:54 PM=
4:15 PM=

Answers

Answer:

1:30pm = 13:30pm

09:12am = 09:12am

11:45 pm = 23:54pm

4:15pm = 16:15pm

Step-by-step explanation:

I'm in military school :)

9g + 14g + 4 = –19
plz help

Answers

Answer:

g=-1

Step-by-step explanation

Answer:

g=-1

HAVE A nice day

five million, forty-three thousand, two hundred ninety-nine in numbers ​

Answers

Answer:

5,043,299

Step-by-step explanation:

five million = 5,000,000

forty-three thousand= 43,000

two hunded = 200

ninety-nine = 99

Answer:

5,043,299

Step-by-step explanation:

i thinks its that

I NEED HELP ON THIS PLEASE!!

Below are the test scores for Ms. Brown's 1st and 2nd period math classes. Analyze the data and choose EACH correct statement:

1st period (Class A): 10, 15, 20, 25, 30, 35, 40

2nd period (Class B): 7, 12, 17, 25, 33, 38, 43

The standard deviation for Class A is 10

The standard deviation for Class B is 12.615

These are the options:

- The mean (average) score for each class is the SAME.

-The mean (average) score for each class is DIFFERENT.

- The variance for Class A is 125.

- The variance for Class B is 159.14.

- Class A has a greater spread.

- Class B has a greater spread.

- Based on the data, a score of 8 is more likely in Class B than Class A.

- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.

Answers

Answer:

hope that helps

Step-by-step explanation:

- If graphed, Class B would look more like the red graph below and Class A would look more like the blue one.

- Based on the data, a score of 8 is more likely in Class B than Class A.

- Class A has a greater spread.

Please someone helpppp!!!

Answers

Answer:

i think it is false, true, false

Step-by-step explanation:

I think it’s true, false true

A rectangle is drawn on a coordinate grid. The equation for one side of the rectangle is 2x – 5y = 9. Which could be the equation of another side of the rectangle?
y = 5x + 9
y = 2x – 9
y = -2/5x + 9
y = 2/5x - 9

Answers

Answer:

D

Step-by-step explanation:

it just is

What type(s) of symmetry does the figure have?

Answers

Answer:

both points and rotational only

Answer:

I would say point and rotational symmetry SUPER MEGA sorry if im wrong

Negative ten is no less than two times a number plus fourteen.

Answers

-10-2•14a it should be something like this

Answer:

-10 ≥ 2x + 14

Step-by-step explanation:

-10 ( negative ten )

≥ ( symbol for no less )

2x ( two times a number)

14 ( plus fourteen )

Here goes another question

Answers

Answer:

y = x - 8

Step-by-step explanation:

In order to solve this, we need to use point-slope form.:

y - y1 = m(x - x1)

Substitute the numbers into the equation:

y - (-8) = 1(x - 0)

y + 8 = x

y = x - 8

the answer would be y=x-8 ...!

Sturdy the diagram
Value of

Answers

Step-by-step explanation:

5x + 2 = 50 - x (vertically opp angle)

5x + x = 50 - 2

6x = 48

x = 8

if you wanna check it,

5x + 2 = 50 - x

5(8) + 2 = 50 - 8

40 + 2 = 42

42 = 42

Please help
Which row of the table reveals the y-intercept of function f?

Answers

Answer:

second row x=0 f(x)=2

Step-by-step explanation:

when x= 0 the f(x) = y-intercept

Second row of the table reveals the y-intercept of function f.

What are intercepts?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

According to the question

Y intercept of the function f :

y-intercept is the point where a line crosses the y-axis.

i.e x = 0

Only Second row satisfy this condition .

Hence, Second row of the table reveals the y-intercept of function f.

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The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2 ​

Answers

Answer:

I think it's b I don't know for sure though

Step-by-step explanation:

I don't know for sure tho

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

--------------------------

The domain of a function is the set that contains all possible input values.The range of a function is the set that contains all possible output values.In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

A similar problem is given at https://brainly.com/question/24603090

What fraction of an hour is 8 minutes?
Give your answer in its simplest form.

Answers

Answer:

2/15

Step-by-step explanaion

4/30 simplified is 2/15

The 7th grade class experienced a 15% decrease in enrollment.Last year,the 7th grade class had 280 students. How many how many students are enrolled in the 7th grade this year?

Answers

Answer: 238

Step-by-step explanation: 10% of 280 is 28. 1% of 280 is 2.8. Multiply 2.8 times 5 and you get 14. Add 10% and 5% (28+14) and you get 15% which is 42. Subtract 42 from 280 and you get 238.

Answer:

232 students are enrolled this year.

Step-by-step explanation:

Since 15% of the enrollment of the previous year is gone, you must take 15% of the total number of students and subtract that from the total number of students.

[tex]280*0.15=42[/tex]

This tells us that the 15% decrease means there are 42 fewer students enrolled this year. Now you would just subtract 42 from 280.

280 - 42 = 232

?
Janice decides to buy a WinOne and a Playball ticket every
day for the next 400 days. Theoretically, which lottery can
she expect to win more often, and how many times would she
win on average?
Winone, three times
PlayBall, two times
PlayBall, five times
Winone, four times

Answers

Answer:

It’s not c on Plato

Step-by-step explanation:

C 0
An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store
contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the
variables is a discrete quantitative variable?
O brand
O type
power settings
O color

Answers

Answer:

Power settings.

Step-by-step explanation:

In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.

Basically, random variables are classified into two (2) main categories and these are; continuous and discrete random variable.

A discrete random variable is a data set in which the number of possible values are either finite or countable. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

In this scenario, an appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color.

Hence, the variable which is a discrete quantitative variable is the number of power settings because its values are countable or finite, usually it ranges from 100 to 800.

If Ryan gives 4/9 of his 36 cards to Josiah, how many cards does he give Josiah?

Answers

Answer:

16 cards

Step-by-step explanation:

Answer:

Ryan gave 16 cards to Josiah.

Step-by-step explanation:

First we will divide 36 by 9.

36/9 = 4

We know that 1/9 of 36 is 4.

1/9 + 1/9 + 1/9 + 1/9 = ?

4 + 4 + 4+ 4 = ?

4 * 4 = 16

4/9= 16

Ryan gave 16 cards to Josiah.

The table (below) shows the amount of fuel left in your RV while driving. What type of function can you use to model the data? Estimate the amount of fuel left in your tank after driving for 90 minutes.

Im a lil confused someone help explain the problem please :)

Answers

Answer:

the answer is 4

Step-by-step explanation:

hope this helps

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