Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .

Answers

Answer 1

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

[tex]y - y_{0} = m(x-x_0)[/tex]

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2


Related Questions

HELP HELP HELPPPPP PLEASEEE

Answers

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

when a number is divided by 15, the quotient is 18 and the remainder is 5. what is the number?​

Answers

Answer:

The answer is 256

Step-by-step explanation:

You just have to get the divisor  

(

40

)

and multiply by the quotient  

(

6

)

, then add the remainder  

(

16

)

.

So we have:  

(

40.6

)

+

16

=

256

The number is 276.

Parts of a Division Problem -There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Let us assume that the number is N.

So according to the question we can say that

N= 15(18) +1

because dividend= divisor x (quotient) + remainder and quotient is odd.

 So now, N (on expanding) =15 × 18 + 5

                                              = 275

So if N is divided by 15 the remainder would be  275+1=276.

Learn more about Parts of a Division Problem brainly.com/question/15305334 here.

#SPJ2

PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?

A. States had to pay taxes set by Congress and provide soldiers during war time.

B. States had to provide representatives to Congress but soldiers were sent only to state militaries.

C. States sent representatives to Congress and provided soldiers and some officers to protect the country.

D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

Answers

Answer:

States sent representatives to Congress and provided soldiers and some officers to protect the country.

Which of these expressions or phrases can be used to represent the model choose all the correct answers



Pls no BOT part ;(

Answers

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:

Answers

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150

Expand and Simplify: (x-5)(x+7)

Answers

distributive property
(x-5)(x+7)
=x^2+7x-5x-35
=x^2+2x-35

Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of

Answers

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

Can yall help me need help ASAP​

Answers

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal

Answers

Given:

The length of the football field = 360 feet

The length of the titanic = 883 feet

To find:

About how many football fields long was the titanic?

Solution:

We have,

Length of the football field = 360 feet

Length of the titanic = 883 feet

Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.

[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]

[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]

[tex]\text{Number of required football fields}=2.452777...[/tex]

[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]

[tex]\text{Number of required football fields}\approx 2[/tex]

Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].

Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT

Answers

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

Factor the expression step by step

Answers

Let's factor this.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?

Try -2 and -5:
-2+-5 = -7
-2*-5 = 10

Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)

A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.

Answers

The answer is B. Even just looking at the negatives of the other solutions, you can see that it is B because the intersection has a negative x and a positive y.

A cube has a surface area of 6. What's the volume?

a 1

b 1/6

c 6

d 3/2

Answers

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?

Answers

He spent 560. Just multiply 70 with 8

2. Karina would like to go with Rhia to Michigan, but by the time she purchased her ticket, she
realized she will need to earn $1,593 to pay for the trip herself. Karina babysits and earns $15
per hour. How many hours will Karina need to babysit in order to earn all of the money she
needs for the trip to Michigan?

Answers

She will need to babysit for 213 hours

Pls help will give brainless

Answers

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.

Answers

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?

Answers

her profit per each wood is $5 so her total profit is $25

because
60 divided by 5 is 12, so each wood is 12 dollars
she spent 40 dollars on materials so 40 divided by 5 is 8, so she spent $20 on each piece of wood to paint it because 12(price of wood)+8(cost of materials per wood)= 20
and shes sells them for 25
so 25-20=5
5x5=25
so the answer is $25 profited

A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST

Answers

A semi circle is half a full circle. Find the area of the full circle and divide it by 2.

Area of a circle = pi x r ^2

R is half the diameter

Area of full circle:

Area = 22/7 x 21^2

Area = 1386 sq. Ft

Area of stage = 1386/2 = 693 square feet

Answer:

3.14 x 42 x 42 = 5538.96ft

If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.

Step-by-step explanation:

:))

9x -5y = 16
-3x + 7y = 16


-4x - 2y = 14
10x - 7y = 25

Answers

ihivigivivvivivuvicugugovos

If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.

Answers

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

If n = 3, what is the value of 6n – 3?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6×3−3

Multiply 6 and 3 to get 18.

18−3

Subtract 3 from 18 to get 15.

15

Will mark brainliest

Answers

Answer:

I think it’s the last one 2x + 7 sorry if I’m wrong!

the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number

Answers

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal​

Answers

The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

Which equation below describes the angle measurements of a night isosceles
triangle?
А
90 + 2(45) = 180
B
180 = 90 + 40 + 50
c (180) = 60
D (90) + 90 = 180

Answers

answer : A - 90+2(45)=180
Other Questions
Pls help! This test determines if I take math 1 or 2 for 8th grade!! inclusiveness strengthen society please help im desperate!!! HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP Are there outliers in the set of data below? Hint: Use your formulas from the lesson52, 58, 62, 66, 67, 68, 68, 70, 70, 72, 73, 74, 76, 84, 90Question 1 options:52 and 9068 and 70There are no outlierspls help QUESTION 9 of 10: You get 6 price quotes for a used commercial oven: $7,000; $2,000; $9,000; $3,000; $5,000; $4,000. What is the median price quote from what part of the country overwhelmingly was andrew jacksons base? A. the frontier and the southern states B. the frontier and northern states C. the northwest and northeast Which sentence most clearly makes an ethos appeal?A. Most dentists agree that flossing is just as important as brushing.B. People who oppose the funding of libraries should feel ashamed.C. Statistics show that most Americans oppose the ElectoralCollege.D. Giving students the option to eat healthy is just common sense Explain two effect of road accident Qu camisa prefieres? a. Prefiero aquella b. Prefiero estec. Prefiero aquel The best way to locate a suffix is to look for a word part thatincludes pre, a, or en for example.shows the words central meaning.is added to the end of the word root.is added to the beginning of a word root. What are two core Republican beliefs? what equation passes through (6,3) and is parrallel to y=3x+5 Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)Complete: For the function ()=23, the average rate of change to the nearest hundredth over the interval 2 x 4 is ______. What are the four different orchestral instrument families?Name five string orchestral string instruments.What are the most common brass instruments used in an orchestra?Name four percussion instruments.Name two different categories of orchestra.Critical Thinking QuestionsWhat is your favorite musical instrument? Why?What is a musical repertoire and how are they created?How are instrument families created?Which of the orchestral instrument families make sound with vibrating strings? Please name one of the ways that sound can be made through vibrating strings.How is pitch related to the size of the instrument?I WILL MARK BRANLIEST!!! How do community contribute in maintaning the health of ecosystem?? The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?Making Fudge BrowniesBaking Powder (tsp) 5 6 7 8Height of Brownies (cm) 2.15 2.43 2.71 2.99A. y = 0.28x + 0.75B. y = 0.75x +0.56C. y = 0.75x + 0.28D. y = 0.56x + 0.75 Find the value of x. Round to the nearest tenth what is the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! AAAAAAAAAAA Solve for x. 1/2x - 1/4 = 1/2