what is the slope of the line passing through the points (4,3) and (1,-2​

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Answer:

27/40

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

Answer:

The answer would be D. 0=2(x-1)squared

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

∠E

Step-by-step explanation:

∠E is between PE and EN

Answer:

1. $1.2

2.  $0.14

Step-by-step explanation:

Step one:

given data

Black beans last week that cost $1.34

Step two:

This week's price

5 cans of beans cost $6.00

The cost per can is

= 6/5

=$1.2

The difference in price

=1.34-1.2

= $0.14

Answer:

8

Step-by-step explanation:

took the test

have a nice day

mark brainlist plzzzzz

Answer:

V = 16x²

Width = 12in

Height = 12in

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

V = 16x² (This gives the required equation)

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

Hence the width and the height are both 12inches since they are the same.

For the sma

Answer:

Its b trust me

Step-by-step explanation:

I did the work lol

Answer:

y = 9/2 or 4.5

Step-by-step explanation: hope this helps :)

x-y= -5   So what you do here is isolate the variables

+y     +y      

x = -5+y

After you do this you input the equation as x

2x+y = -1

2(-5+y) = -1

-10 + 2y = -1

+ 10         +10

2y = -9

/2      /2

y =  9/2 or 4.5

Answer:

9.42m

Step-by-step explanation:

You have to find the circumference using C=2πR. We know that the radius =4 meters so then we can insert it into the formula to get the circumference which equals 8π. Then we divide 24m² by 8πm and get 9.42m.

Answer:

If two lines are perpendicular to the same line, then the two lines are parallel, and if two lines are parallel, then their slopes are equal

Step-by-step explanation:

Answer:

I'm sorry for this but I'll help you if you help me?

Answer:

burger

Step-by-step explanation:

fSFFSFS

Answer:

1 5/6 or answer C

Step-by-step explanation:

First: Parenthesis  4/5-1/4 or 11/20x 1/2 is 11/40

Bottom: 1/2*4/5 is 2/5 - 1/4 which is 3/20

11/40 *20/3

11/6 or 1 5/6 which would be answer C.

Hope this helps!

Happy Holidays!

Answer:

C

Step-by-step explanation:

top 4/5-1/4 or 11/20x 1/2 = 11/40

bottom 1/2*4/5 is 2/5 - 1/4 = 3/20

Answer:

k = 0

Step-by-step explanation:

On the graph, the second point would be at (-7,0)

Answer:

k = 0

Step-by-step explanation:

We can find the answer to this question by using the slope equation:

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's define some variables:

[tex]\frac{k - 7}{-7-(-8)} = \frac{k-7}{1} = k- 7[/tex]

We know the slope is -7 so we can put k-7 equal to it and solve

[tex]k-7 = -7\\k = 0[/tex]

We find that k is equal to 0.

I hope this helps!!

- Kay :)

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

∴ AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

∴ BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

Learn more about the properties of a kite here:

https://brainly.com/question/24110637

Answer:

601/100

Step-by-step explanation:

Both the lines are perpendicular lines.

The equation of line 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;

The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Now,

Since, The equation of lines are,

⇒ 6x - 2y = 1 and x + 3y = 12.

Hence, Find the slopes of the lines as;

⇒ 6x - 2y = 1

⇒ 2y = 6x - 1

⇒ y = 3x - 1/2

⇒ m₁ = dy/dx = 3

And, From second line,

⇒ x + 3y = 12.

⇒ 3y = - x + 12

⇒ y = - 1/3x + 4

⇒ m₂ = dy/dx = - 1/3

Clearly, We get;

⇒ m₁ m₂ = 3 × - 1/3

             = - 1

Thus, Both the lines are perpendicular lines.

Learn more about the equation of line visit:

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9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

Answer: y = 2x

Step-by-step explanation:

y=mx+b

m is the slope. so if the slope is 2 we can fill in 2 for m.

y = 2x + b

now we are going to plug in the point they gave us (1, 2) to find b.

1 is the x coordinate of the point and 2 is the y coordinate. so we put 1 in for x and 2 in for y.

2 = 2(1) + b

2 = 2 + b

b = 0

so our equation is y = 2x + 0, or y = 2x

Answer:

42

Step-by-step explanation:

The slope of the line segment AB will change from -3 to 1/3 after a 270 degree rotation of the line segment

information gotten from the question include

Points A' and B' are the images of points A and B after a 270 rotation

the slope of line segment AB is -3

Rotation is one of the movements that is under transformation it involves a movement about an axis.

With respect to the problem here, the axis of the rotation is the origin of the coordinates

The rotation will lead to formation of an image A'B' which is perpendicular to the preimage

The relationship between two slopes that are perpendicular to each other is

slope of line, m = -1/slope of the perpendicular line, m'

m' = -1/m

m' = -1/3

Learn more about slope of perpendicular line

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Answer:The race is 111.6

Step-by-step explanation:The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Answer:

If I am incorrect, please let me know.

Step-by-step explanation:

This is the work I did.

Please mark me brainliest :)

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because if you will divide the ratio 4:12 by three- we will get a ratio 1:3. Then we need the last 3 in the ratio 1:3 become a 9. For this we need to multiply it by 3= 1:3 *3= 3:9. This is only 3/4 of whole of recipe.

Answer: Choice A)

Amelia is correct. She needs 3 cups of sugar because the ratio 3:9 is equivalent to 4:12

=======================================================

Explanation:

It might help to think of the ratio 4:12 as the fraction 4/12. Dividing both parts by 4 leads to 1/3.

Similarly, the ratio 3:9 becomes 3/9 which reduces to 1/3.

This shows that 4/12 = 3/9, so the ratios 4:12 and 3:9 are the same.

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

Another way to show two fractions are equal is to do the steps below

4/12 = 3/9

4*9 = 12*3 ... cross multiply

36 = 36

Since the last equation is true, the first equation must be true.

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

Here's another way to see Amelia is correct.

So we know that 4 cups of sugar go with 12 cups of flour. This forms the fraction 4/12.

We also know that she has 9 cups of flour. Let's say we don't know how much sugar she needs, so we'll call this x. We have x cups of sugar go with 9 cups of flour. This forms the fraction x/9.

Equate the two fractions and solve for x

4/12 = x/9

9*4 = 12*x ... cross multiply

36 = 12x

12x = 36

x = 36/12 ... divide both sides by 12

x = 3

She needs 3 cups of sugar

The steps in this section are very similar to the steps in the last section.

Answer:

13

Step-by-step explanation:

31-18=13

Answer:

this makes no sense where the ACUTAL QUASTION no

Step-by-step explanation:

They need to sell 50 tickets.

Given

The drama club at Creative High School is putting on a performance to raise money for new costumes.

Since they do not have costumes, they will pay $110 to rent costumes.

They plan on charging $5.50 per ticket.

We have to determine

The equation can be used to find the number of tickets, t, they need to sell in order to raise $275.

The charger per ticket is $5.50.

Therefore,

The equation can be used to find the number of tickets, t, they need to sell in order to raise $275.

[tex]\rm t = \dfrac{Amount\ of \ tickets}{Price \ of \ ticket}\\\\t = \dfrac{275}{5.50}\\\\t =50[/tex]

Hence, they need to sell 50 tickets.

To know more about the equation click the link given below.

https://brainly.com/question/18378081

Answer: The first and last table.

As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.

Tables 1 and 5 are equal.

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

I                 -0.5

2               -0.5

3               -0.5

4                 1

5                -0.5

Table 4 is eliminated now.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

Hope this helps... Stay safe and have a great day/night!!! :D