Determina la ecuación de recta de una recta en su forma estándar, tal que contiene al
punto(3,-4) y es paralela a la recta que pasa por (0,2) & (3,1).​

Answer:

y=5/4x-8

Step-by-step explanation:

put ito slope intercept form and then using the slope put y intercept in order for it to be true

The required equation of line will be y = 1.25x - 8.

It is given that a line passes through a point (8,2) and is parallel to the line 5x - 4y= 36.

We have to find out the equation of the line.

What is the general equation of a line ?

The equation of a line is y = mx + c , where m = slope of line.

As per the question ;

The line is parallel to another line 5x -4y = 36.

∴ 5x - 4y = 36

4y = 5x - 36

diving by 4 on both sides ;

y = (5/4)x - (36/4)

y = 1.25x - 9

After comparing with the general equation of a line y = mx + c. We found that value of slope m = 1.25.

So,  the parallel line will have the same slope.

∴ y = 1.25 x + c

As the line passes through point (8,2) , hence x = 8 and y =2. After putting this value in the above equation we get ,

2 = 1.25 × 8 + c

∴ c = 2 - 10 = - 8

c = - 8

And the final equation of the line will be ,

y = 1.25 x - 8.

Thus , the required equation of line will be y = 1.25x - 8.

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Answer:

751.74

Step-by-step explanation:

561*.34=190.74

561+190.74=751.74

Answer

The suit being 27% less than the original also means he paid 73% of the original price (x). So,

0.73x=561

x=561/0.73

x=409.53

Original price was 409.53. Fancy suit. Step-by-step explanation:

there you go...

Answer:

twenty-four and twenty-sevenths

Step-by-step explanation:

Answer: You have 9 cakes for every 7 cakes. I hope this helps!

Explanation: You add up everything on both sides to get your answer!

Answer: yes and it is yes sisiwfereffffffffffffr

Answer:

Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.

9514 1404 393

Answer:

  B) 37.947

Step-by-step explanation:

Using the given formula, we find ...

  s = (12 +11 +7)/2 = 15

  A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards

Step-by-step explanation:

hit the what now . wut that ;-;

Answer:

x=15

Step-by-step explanation:

add the 12 to the other side

x-12=3

and you will get 15

x=15

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

Answer:

3.5

Step-by-step explanation:

2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.

Answer:

there are 3   2/3 in 2 1/3  with 1/3 left over

Step-by-step explanation:

Hope this helps.

Have a nice day :)

Can you give me brainliest plz :)

Answer:

I dunno what your saying.

Step-by-step explanation:

Please us English

Answer:

More information or the graph your talking about is needed to answer this

Step-by-step explanation:

Answer: 2/5 40%

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

angles on a straight line

(x+20)+7x

open bracket

8x +20 = 180

collect like terms

8x= 180-20

8x=160x

x=160/8

x =20

Answer:answer 4

Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24

Answer:

nusfj

Step-by-step explanation:

fsdafsf

Step-by-step explanation:

The perimeter can be expressed as

P=2L+2W

let the width be x

W=x

L=x+19

perimeter P=46ft

Therefore substituting and solving for x we have

46=2(x+19)+2x

46=2x+38+2x

46=2x+2x+38

46-38=4x

8=4x

x=8/4

x=2

the width is 2

the lenght = 2+19=21

x = measure of the angle

180 - x = measure of supplement {supplementary angles add up to 180}

x = 74(180 - x) {measure of the angle is 174 times the supplement}

x = 13,320 - 74x {used distributive property}

75x = 13,320 {added 74x to each side}

x = 177.6 {divided each side by 177.6}

the angle is 177.6

the supplement is 2.4

Answer:

-3

Step-by-step explanation:

Add them all up and then divide by 5

Answer:

B

Step-by-step explanation:

To answer this question, we can just pick a couple of points and see which table gives the correct values.

Test Value 1)

Let's let m be 0.5.

So, our output will be:

[tex]-(T(0.5)+G(0.5))[/tex]

From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:

[tex]=-(1.25+4.9)[/tex]

Add:

[tex]=-6.15[/tex]

So, when m is 0.5, our output should be -6.15.

The only choice that does this is B. So, B is our correct answer!

However, let's do another test point just to confirm.

Test Value 2)

Let's let m be 1.2.

So, our output will be:

[tex]-(T(1.2)+G(1.2))[/tex]

From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:

[tex]=-(3+11.76)[/tex]

Add:

[tex]=-14.76[/tex]

The only choice that does this is B. So, we are confident that B is our answer.

And we're done!

Answer:

B

Step-by-step explanation:

Answer: 7⁴ I believe

Answer:

667

Step-by-step explanation:

2x^4–5x^3+x^2+3x+2

2(5)^4 -5(5)3+5^2+3*5+2

2*625 - 5*125+25+15+2

1250-625+25+15+2

625+42

667

Answer:

11 out of 39

Step-by-step explanation:

Answer:

\frac{11}{39}

39

11

Step-by-step explanation:

There are 39 fruits in all.

11 + 6 + 9 + 13= 3911+6+9+13=39

Therefore, there would be 39 total events.

There are 11 preferred events, as there are eleven oranges out of the 39 fruits.

\frac{preferred}{total} =\frac{11}{39}

total

preferred

=

39

11

So, there should be a 11/39 chance that a person would pick an orange.

\frac{11}{39}

39

11

is already in it's lowest terms

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 2x + 1

Reorder the terms:

5 + 3x = 2x + 1

Reorder the terms:

5 + 3x = 1 + 2x

Solving

5 + 3x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

5 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x

5 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0

5 + 1x = 1 + 0

5 + 1x = 1

Add '-5' to each side of the equation.

5 + -5 + 1x = 1 + -5

Combine like terms: 5 + -5 = 0

0 + 1x = 1 + -5

1x = 1 + -5

Combine like terms: 1 + -5 = -4

1x = -4

Divide each side by '1'.

x = -4

Simplifying

x = -4

Answer:

x = -4

Step-by-step explanation:

To solve the given equation, we must find a value of x that satisfies the equation.

3x + 5 = 2x + 1

Subtract 2x from both sides.

x + 5 = 1

Subtract 5 from both sides.

x = -4

So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

Answ32fn333w3243333

Step-by-step explanation:

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Answer:

M(1)

Step-by-step explanation:

(Please see the attached picture to better visualize the number line)

What we know:

- Point A is at -1.5 on the number line

- Point B is at 6 on the number line

- AM:MB=1:2

From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.

1. Find the distance between point A(-1.5) and point B(6)

6-(-1.5)

= 6+1.5

= 7.5

2. Divide this distance into thirds

7.5/3

= 2.5

Now, we know that one third of the distance between AM and BM is 2.5.

3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)

-1.5+2.5

= 1

I hope this helps! Please comment if you have any questions.

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

Step-by-step explanation:

The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.

The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.

The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.

2x + 3 = 3x + 1 - 2

2x + 3 = 3x - 1

-x = -4

x = 4

Home to school through mall:

2x + 3 = 2(4) + 3 = 11

Home to school through theater:

3x + 1 = 3(4) + 1 = 13

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles