The points (4,r) and (6,-10) lie on a line with slope -3. Find the missing coordinate r.My question: Does it matter how I use the slope formula, such as y2-y1/x2-x1?

The Points (4,r) And (6,-10) Lie On A Line With Slope -3. Find The Missing Coordinate R.My Question:

Answers

Answer 1

ANSWER

r = -4

EXPLANATION

The formula for a slope of a line that passes through points (x1, y1) and (x2, y2) is:

\(m=\frac{y_1-y_2}{x_1-x_2}\)

The order of the points doesn't matter as long as you write both coordinates of the same point first (or second). The formula above is the same as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

With this in mind, we can find r with either of the forms of the formula:

\(-3=\frac{-10-r}{6-4}=\frac{r-(-10)}{4-6}\)

Using the first one:

\(\begin{gathered} -3=\frac{-10-r}{2} \\ -3\cdot2=-10-r \\ -6=-10-r \\ 10-6=-r \\ 4=-r \\ r=-4 \end{gathered}\)


Related Questions

T/F?
Arrays can be passed as parameters to a function by value, but it is faster to pass them by reference.

Answers

Arrays can be passed as parameters to a function by value, but it is faster to pass them by reference. The given statement is False.

An array is a collection of items of same data type stored at contiguous memory locations. This makes it easier to calculate the position of each element by simply adding an offset to a base value, i.e., the memory location of the first element of the array.

In Pass by value, function is called by directly passing the value of the variable as an argument. So any changes made inside the function does not affect the original value.

In Pass by Reference, Function is called by directly passing the reference/address of the variable as an argument. So changing the value inside the function also change the original value. In JavaScript array and Object follows pass by reference property. Parameters passed as an arguments does not create its own copy, it refers to the original value so changes made inside function affect the original value.

Thus, the statement that Arrays can be passed as parameters to a function by value, but it is faster to pass them by reference is False.

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Find the circumference of a 70yd diameter circle 3,14=pi

Answers

Answer:

70*pi

Step-by-step explanation:

No idea mate

Answer:

219.8 yd.

Step-by-step explanation:

circumference of a circle = 2πr

where

r = 70/2 = 35 yd

π = 3.14

plugin values into the formula:

C = 2 (3.14) 35

C = 219.8 yd.

araceli renta un local rectangular de 4.2 metros de frente y 7.3 metros de largo para su panaderia, ¿cuantos metros cuadrados tiene el local que rento?

Answers

The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

How to find the area ?

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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What is the type of tax paid when you buy a new pair of blue jeans?

A) sales tax

B) income tax property tax

C) property tax

D) pay roll tax​

Answers

Answer:

It's sales tax I believe

18+45-9(2)
Using order of operations

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

18 + 45 - 9(2)

PEM -> 18 + 45 - 18

AS -> 45 (18 and - 18 = 0)

Please help quickly as possible thank you! :)​

Please help quickly as possible thank you! :)

Answers

2 kg is better to buy

3.99/3= 1.33

2.59/2=1.29

so 2 kg is better

my friend needs help on this problem, plz help, thank you

my friend needs help on this problem, plz help, thank you

Answers

Answer:

3 = 95, 4 = 85, if a and b are parallel

Step-by-step explanation:

Answer:

<3=95

<4=85

Step-by-step explanation:

<3 is 95 because it matches the other angle because of parallel angles. the other angle is supplementary, so 180-95=85

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 2 ft by 2 ft by 12.5 ft. If the container is entirely full and, on average, its contents weigh 0.22 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.

Answers

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

What is the value of the digit 4 in 1,601,403

Answers

Answer:

The value of 4 is 400

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Inequalities - Introduction

Inequalities - Introduction

Answers

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Belle walks

7

10

mile each morning and

1

4

10

miles each evening.

How many miles does she walk in 5 days?

I'll mark brainliest

Answers

Answer:

I'm not really sure what you mean by the numbers because that's alot.

Step-by-step explanation:

But all you have to do is:

Plus the morning and evening amount and then times it by 5

Like this: y + z x 5

I hope this helped!
Sorry if it didnt...

But have a nice day

Meg wants to make scrapbooks with old family photos. An online scrapbooking company charges $22 for a basic book and $2 per page. Meanwhile, a family friend is willing to make a scrapbook for $45 plus $1 per page. For a certain number of pages, the price would be equal. How many pages would that be? How much would that cost?

Answers

For a number of pages, the price would be equal. & it would cost $45.

Equation: What is it?

A mathematical statement known as an equation is composed of a pair of expressions joined together by the equal sign. The concept of an equation in algebra is a logical statement that demonstrates the equality of two mathematical expressions. For instance, the two variables 3x Plus 5 and 14, that are split by the 'equals' symbol, make up a formula 3x + 5 = 14.

What does the word "equation" mean in mathematics?

A mathematical statement known as an equation is made up of two variables joined together by the equal sign. For instance, a formula may indeed be 3x − 5 = 16. When this equation is solved, we discover that the value of a variable x is 7.

Here, we have,

An online scrapbooking company charges $22 for a basic book and $2 per page.

Meanwhile, a family friend is willing to make a scrapbook for $45 plus $1 per page.

let, the number of page = x, the price would be equal.

so, we get,

22 + 2x = 45+x

i.e. x = 13

Hence, For a 13 number of pages, the price would be equal. & it would cost $45.

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The price would be equal when the number of pages is 23 and the cost would be $68.

What are equation and its type?

Equations with Lines: In the linear equation, each term is either a constant, a single variable, or the result of two constants.

Equations in Quadrature: Every one of the variables in the second-order quadratic equation has an exponent of 2, making it a second-order equation.

Equations with Exponents: Variables are used in this arithmetic equation in place of exponents. The property can be used to solve an exponential problem.

Let the number of pages = x.

Given that, an online scrapbooking company charges $22 for a basic book and $2 per page.

A = 22 + 2x

A family friend is willing to make a scrapbook for $45 plus $1 per page.

F = 45 + x

The price would be equal for:

22 + 2x = 45 + x

x = 45 - 22

x = 23

For x = 23 the cost is:

F = 45 + 23

F = 68

Hence, the price would be equal when the number of pages is 23 and the cost would be $68.

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If x=2y+5 and x=3y-6, what is the value of x?

Answers

X= - 3, y = 4.
Explanation:
From the second equation, you know that x = 5 - 2y
Substitute this expression for ∞ in the first equation to get
2(5 - 2y) + 3y = 6
10-4y +34 = 6
-y = - 4
y =4
Now that we have found y, we can find * using
X=5-24 -> X =5-2.4 = -3

A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3. Find the perimeter and area of the dilated figure.

Answers

A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.

To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.

To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)

The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).

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Which of the following represents the series? –13 + (–7) + (–1) + 5 + 11

Answers

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

if it helped uh please mark me a brainliest :))

Please solve assignments due today

Please solve assignments due today

Answers

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

How do we calculate the Mean Absolute Deviation?

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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i got it nevermind!!!! dont need help

i got it nevermind!!!! dont need help

Answers

The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

How to solve an equation?

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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2 + 2. what is the sum​

Answers

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

By which rule are these triangles congruent?
A) AAS
B) ASA
O SAS
D) SSS

By which rule are these triangles congruent?A) AASB) ASAO SASD) SSS

Answers

Answer:

d. sss

Step-by-step explanation:

Answer:

the correct answer is AAS

There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.

Answers

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?

Answers

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Determine the total surface area and volume of each figure.

Determine the total surface area and volume of each figure.

Answers

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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What is the value of
3/5 Divided 7/8

:

Answers

Answer:

3 7

- ÷ -

5 8

3 8

= - × -

5 7

24

24= ----

35

Hey can anyone help me understand how to graph this?

Hey can anyone help me understand how to graph this?

Answers

Answer:

Step-by-step explanation:

?

2.
Choose the best description of a regular polygon.
a polygon with four sides
a polygon with all equal angles
a polygon with equal sides
a polygon with all equal sides and all equal angles

Answers

Answer:

I think the best description of a regular polygon is a polygon with all equal angles

Step-by-step explanation:

hope this helps if not let me know

Hello, hope everyone is well, please help on this Drag and Drop question (:

Hello, hope everyone is well, please help on this Drag and Drop question (:

Answers

7 × 100
+ 0 × 10
+ 6 × 1
0 x 0.1 1/10
+ 3 × 0.01 1/100
+ 9 × 0.001 1/1000

a. Assume that the selections are made with replacement. Are the events independent? The probability of getting two orders from Restaurant D is . The events (1) independent because choosing the first order (2) the choice of the second order. (Round to four decimal places as needed.) b. Assume that the selections are made without replacement. Are the events independent? The probability of getting two orders from Restaurant D is . The events (3) independent because choosing the first order (4) the choice of the second order.

Answers

Answer: = a = 0.0206

b = 0.0205.

Step-by-step explanation:

From the question, given that;

Order Accurate         =  328     273    242     142

Order Not Accurate  =  32       54       37       20

Let us make the Total orders given be

T.O = 328+273+242+142+32+54+37+20 = 1128.

a) Let the Prob. that the first order is from restaurant D be

= Number of order from restaurant D / Total number of orders

= 162 / 1128 = 0.1436

Probability of the second order is 0.1436.

This is because, from the question we can tell that the selections are made with replacement, that means the order is the same.

So, the probability of getting 2 orders =

= 0.1436 * 0.1436 = 0.0206

NB: The probability of getting two orders from restaurant B is 0.0206.

This is because choosing the first order does not affect the second order

(independent events).

b) Assuming that the selections are made without replacement , the probability of getting both the orders from restaurant D =

Probability of getting 1st order from restaurant D = 162/1128 = 0.1436.Probability of getting 2nd order from restaurant D = 161 / 1127 = 0.1428

This gives the Total Probability of getting both the orders from restaurant D, without replacement to be =  0.1436*0.1428

= 0.0205.

That is to say choosing the first order affects the second order because of the events are not independent as compared to the first question.

cheers i hope tis helps

{15×115-(-3)}(4-4)÷3{5+(-3)×(-6)} simplify the expressions

Answers

Answer:

0

Step-by-step explanation:

Alright, so we all know that the order is { [ ( ) ] } right?

1. { }

2. [ ]

3. ( )

Those are the IMPORTANT orders!

So first, 15 x 155 is 2325, and - and - is a +.

The first part is 2328, ( 2325 + 3 ).

The second part is 4-4 ÷ 3, don't forget, PEMDAS!

Prentices

Exponents

Multiplication

Division

Addition

Subtraction

So no, you will not divide 4 and 3 first.

First, do 4 - 4 which is 0.

And then 0 ÷ 3 which is 0.

The third part is 3 { 5 + ( - 3 ) x ( - 6 ) }

The outside 3 means that we will multiply after we get the answers.

But first, -3 x -6 is 18 because - and - is +.

Now, 5 + 18 which is 23.

3 times 23 is 69!

The fourth part is really easy, just add them all up!

2328 x 0 + 69

And lastly, we know that the answer is 0.

The area of the triangular base of the prism above is 9 cm2. The height of the prism is 9 cm. What is volume of the prism?

Answers

Answer:729
First u Need found 9/2 Square than multiple by 9 :)

Answer:

120 sq cm

Step-by-step explanation:

Suppose you are depositing an amount today in an account that earns 5% interest, compounded annually. If your goal is to have $5000 in the account at the end of six years, how much must you deposit in the account today?

Answers

Answer:

If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...

Answer:

3731.08

Step-by-step explanation:

let x= the present value (or principle)

\(5000=x(1.05)^6\\\frac{5000}{1.05^6}=x\\x=3731.076983\)

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