If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

Answers

Answer 1

Answer:

[tex]r=4[/tex]

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

[tex]y-(3)=-1(x-(-9))[/tex]

Simplify:

[tex]y-3=-(x+9)[/tex]

Distribute:

[tex]y-3=-x-9[/tex]

Add 3 to both sides. So, our equation is:

[tex]y=-x-6[/tex]

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

[tex]r=-(-10)-6[/tex]

Evaluate for r. Distribute:

[tex]r=10-6[/tex]

Subtract:

[tex]r=4[/tex]

So, the value of r is 4.

And we're done!


Related Questions

Solve: 2x-3 = 5(x + 6) O A. x=33/7 A. X = 7 O B. x=-11 O C. x= -9 O D. x= -3​

Answers

Answer:

B -11

Step-by-step explanation:

2x-3=5x+30

or,2x-5x=30+3

or,-3x=33

x=-11

NEED HELP PLEASEEEEEE

Answers

Answer:

The right algebraic expression is 2x - 1

Step-by-step explanation:

Let us change the given phrase from words to mathematics expression

Twice means multiply by 2Less than a number by a given value means the number minus the value

In our question, the phrase is " One less than twice a number "

To change it to an algebraic expression

→ Assume that the number is x

Twice a number means 2 × x = 2x

One less than twice the number means 2x - 1

∴ The algebraic expression is " 2x - 1 "

→ The error in the given expression is

Translate twice a number to x²x² is square a number

The right algebraic expression is 2x - 1

the product of a number squared and 4

Answers

2 because 2 squared is 2•2 which is 4

A drag racer accelerated from 0 m/s to 200 m/s in 5 s.what was the acceleration

Answers

Answer:

40 m/s/s.

Step-by-step explanation:

Acceleration = velocity / time

= 200 / 5

= 40 m/s/s.

Answer:

a = 40m\s^2

Step-by-step explanation:

acceleration is the change of velocity in a certain time interval, which means that it is equal to ( V final - V initial ) \ t

so acceleration here is ( 200 - 0 ) \ 5

which is equal to: 40 m\s^2 and that means that the racer is speeding up by 40 meters each second

Hope it helps! :)

Write a sentence about anything you want using the ratio 4: 2. (Hint Start with the words "For every")

Answers

Answer:

For every four cookies, there are two glasses of milk.

OR

For every four scoops of ice cream, there are two plates.

Step-by-step explanation:

Anything works really, just make sure it make sense.

Hope this helps :-)

question pictured. 15 pooints

Answers

it doesnt show the picture of the question any where

Answer:

imagine

Step-by-step explanation:

lol there no picture but lets say its invisible

I multiplied a number by itself and got 324. What was the
number?

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 times 18 equals 324 and the number 18 is being multiplied by itself

What does "K" stand for for proportinial relationships

Answers

Answer:

y/x = k

Step-by-step explanation:

K is the constant of proportionality.

Without using a calculator, order the following expressions from least to greatest.

Answers

Here we want to order from least to greatest the following expressions:

7.12 = 7.121212...

√75

√45

We will find that the order is: √45 < 7.12 < √75

remember that:

√x = y

such that:

y*y = x

From this, is easy to see that:

√45 < √75

Now to see where 7.1212... enters, we need to compute:

(7.1212...)*(7.1212...) = (7 + 0.1212...)*(7 + 0.1212...)

                               = 7*7 + 2*7*0.121212... + 0.1212...*0.1212...

                               = 49 + 2*7*0.121212... + 0.1212...*0.1212... > 45

So we know for sure that:

7.12 > √45

And 8*8 = 64 < 75

then:

7.12 < 8 = √64 < √75

For transitivity, we have:

7.12< √75

Then the order, from least to greatest, is:

√45 < 7.12 < √75

If you want to learn more, you can read:

https://brainly.com/question/21548193

                         

which of the following is equal to 1.66 in lowestterm? a.166/1000 b.166/100 c.58/50 d.29/25

Answers

Answer:  Choice B.  166/100

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

Work Shown:

1.66 = 1.66/1.00

1.66 = 166/100

1.66 = 83/50

In the second step, I moved the decimal point over to the right two spaces for each value. So 1.66 turns into 166 and 1.00 turns into 100. This is the same as multiplying top and bottom by 100.

In the third step, I divided both parts by the GCF 2. So 166/2 = 83 and 100/5 = 50.

You should have 83/50 in your answer choices, but it's not listed. So the next best thing is 166/100.

15 POINTS TO THE FIRST TO ANSWER



Simplify the expression. SHOW ALL STEPS for full credit!
(x-2)(-2x^2 - 4x + 6)

Answers

Hey :)

Use the distributive property to multiply x−2 by −2x^2 - 4x+6 and combine like terms

= -2^3 + 14x -12

Hope this helps :)

Need help. Image is attached below.

Answers

Answer:

A

Step-by-step explanation:

the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4

filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1

-7⅔+(-5½)+8¾ helpp mee

Answers

Answer:

Ughhhhhhhhh harder daddy

Step-by-step explanation:

First you let him put the penis in the hole

During science class,jimmy heated a substance and recorded the temperature of the substance over several minutes. He used the data to make the graph shown.

Answers

It’s -18 that’s the answer

63 pt​__ gal​ __ qt​ __ pt

Answers

I really don’t know what the answer is and why are you trying to cheat

Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following.
1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.

Answers

Answer:

Explained below.

Step-by-step explanation:

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

The matched pairs are as follows:

Population: 2. All Toyota Camry (2020 US) model cars.

Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.

Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.

Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.

Please help...

R/5 - 6 = -1

A) r=1
B) r=5
C) r=10
D) r=25

Answers

Answer: Its D

Step-by-step explanation:

Cause i have calulator :D

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inch by 11 inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. Let x represent the varying side length of the square cutouts in inches. Let l , w , and h represent the varying length, width and height of the box (in inches), respectively. Note that the width and length dimensions are such that w < l . Let V represent the varying volume of the box in cubic inches. Write formulas for length, width, and volume of the box, each in terms of x .

Answers

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

V(x) = 4x³ - 39x² + 93.5x

Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

L(x) = 11 - 2x

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

W(x) = 8.5 - 2x

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

Therefore,

V(x) = (11 - 2x)(8.5 - 2x)(x)

V(x) = (93.5 -22x -17x + 4x²)(x)

V(x) = 4x³ - 39x² + 93.5x

6(1+x)+x=-14
Please help solve for x

Answers

Answer:

X is equal to -10

Step-by-step explanation:

#1. Multiply 6 to (1+x). Doing this makes this equation: 6+x+x=-14

#2. Move 6 to the other side of the equation, to the side of the answer and change its abbsolute value. Doing this will make x+x=-14-6.

#3. Simplify both sides. 2x=-14-6  ---->  2x=-20

#4. divide -20 by 2, this equals -10. x is equal to -10. WooHoo!

Answer:

Answer x=-[tex]\frac{20}{7}[/tex]

Step-by-step explanation:

6(1+x)+x=-14

(multiply bracket with 6)

6+6x+x=-14

(-6 for both sides)

6x+x=-20

(add x terms together)

7x=-20

(divide by 7 for both sides)

x=-[tex]\frac{20}{7}[/tex]

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at $5 each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?

Answers

Answer:d

Step-by-step explanation:I took the test too

60000/23/35767755x100000=? whats he answer?

Answers

Answer:7.293428542

Step-by-step explanation:Calulator :D

-2=k+7/3. solve for k

Answers

Answer:

K=-13

Step-by-step explanation:

-2=(k+7)/3

-6=k+7

-13=k

solve for the variable. b^2 = 100

Answers

Answer:

b = ±10

or

b = -10, 10

Step-by-step explanation:

Step 1: Write equation

b² = 100

Step 2: Solve for b

Square root both sides: b = ±10

Step 3: Check

Plug in x to verify it's a solution.

(-10)² = 100

(10)² = 100

Answer:

b=-10 or b=10

Step-by-step explanation:

They would both work because negative times negative is also positive so it would also work.

*someone deleted my answer to this question saying it was incorrect but it was correct :/

How do you do this question?

Answers

You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.

Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.

Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.

Eg: (-7)^2 = 49 and (-3)^4 = 81

This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.

Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]

So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]

And it's why choice E is not one of the answers.

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

To summarize:The 3 answers are A, C, and D

halp pls will give brainlkiest

Answers

Answer:

The 1st one

hope this helped :)

(-4)(2)(-3)(6)=(-4)(-3)(2)(6) is POSITIVE because (-#)(-#)=+ and (+#)(+#)=+, so the answer is A

What is the value of 2 5/8 divided by 7/10

Answers

Answer:

3  3/4

(Decimal: 3.75)

Step-by-step explanation:

Please I need help 20 POINTS!
The question States: come up with a story problem that matches the above representations. (There all apart of the same problem)

Answers

Mia made 18 cookies to share with her best friend at school. Each day she brought 2 cookies to share with her friend. How many days does she have to bring cookies to school?

Answer: 9

Solving Steps:

What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:

Answers

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

anyone here in brainly good at math?

Answers

Answer:

3/16 / 5/6 = 9/40

7 / 1/6 = 42

2 1/6 / 1 1/3 = 1  13/20

2 1/7 / 3/28   = 20

carol feeds her bird the same amount of food every day. over the past 7 days, her bad of bird food has decreased by 1 3/4 cups.

Answers

Answer:

12.25 or 12 1/4

Step-by-step explanation:

Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.

So, 7 days, the bird would eat, 1.75*7 days.

1.75*7=12.25

Answer:

12.25 or 12 1/4

Step-by-step explanation:

Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.

So, 7 days, the bird would eat, 1.75*7 days.

1.75*7=12.25

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