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

Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are​ different? A. Because of the extremely low p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.

Answers

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?​

Answers

Answer:

272 inches squared

Step-by-step explanation:

272 square inches.

Because (2×8×2) + (2×8×12) + (2×2×12)  = 32 + 192 + 48 = 272

The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?

Answers

Answer:

50$

Step-by-step explanation:

4*5=20

it would be 50$ for 20 golf balls
4 golf balls for 10$ and
4x5=20
so 10$x5= 50$
The answer is 50$

Someone please help me.

Answers

Answer:

C

Step-by-step explanation:

Prime factors: 2, 3, 3

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

x times y equals 45.

What is x and y?

Answers

Answer:

9 and 5

Step-by-step explanation:

There are many answers

Answer:

There could be a different answer but this is what i got.

Step-by-step explanation:

1 x 45,

3 x 15,

or 5 x 9

. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?

Answers

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

factorizar por el motodo de aspas
[tex]12x^2 = 3x + 2[/tex]

Answers

Answer:

Step-by-step explanation:

12x²-3x=2

[tex]x^2-\frac{1}{4}x=\frac{1}{6}\\x^2-\frac{1}{4}x+\frac{1}{64}=\frac{1}{6}+\frac{1}{64}\\(x-\frac{1}{8})^2=\frac{ 32+3 }{192}=\frac{35}{192}\\\\(x-\frac{1}{8} )^2-(\sqrt{\frac{35}{192} } )^2=0\\(x-\frac{1}{8} +\sqrt{\frac{35}{192} } )(x-\frac{1}{8} -\sqrt{\frac{35}{192} } )=0[/tex]

12x2 +3x = 2 because 12x2 plus 3x equals 2


Using the diagram, determine whether the angles are vertical angles, a linear pair, or neither. (Image is included)

Answers

Answer:

1.linear pair

2. neither

3. vertical

4. neither

5. vertical

6. neither

7. linear pair

8. neither

Step-by-step explanation:

the answers are starting from up to down, not side to side

We have the definitions of the Adjacent angles, linear angles, vertical angles.

Two angles are considered to be adjacent angles when they share a common vertex, a common side, but no common interior pointsWhen two lines intersect each other at a single point, linear pair of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear.Two angles are said to be vertical angles when their sides form two pairs of opposite rays (straight lines).

So, from the figure we see that

<1 and <2 are linear pair  <2 and <4 are neither <6 and <8 are vertical <11 and <1 are neither<1 and <3 are vertical <4 and <5 are neither <8 and <9 are linear pair <10 and <7 are neither

Learn more:https://brainly.com/question/3182415

PLSS HELPP

What is the value of x in this equation?

4x − 2(2x − 2) = 2(2x − 4)

Answers

X=3 do you need the working out ?

what is the slope of -1,3 and 3,15

Answers

Answer:

3

Step-by-step explanation:

Solve for x. 4(x+1)= -3x-10

Answers

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2

1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____

Answers

Opposite value would be either changing from a positive to a negative or from a negative to a positive.

Absolute value is always a positive value

A) 7.2, -7.2, 7.2

B) -3.5, 3.5, 3.5

C) 5 1/2, -5 1/2, 5 1/2

Answer:

-7.2     7.2

3.5      3.5

-5 1/2   5 1/2

Step-by-step explanation:

Simplify: (x3 y-2)12 (x-5y)-12
A) xy
B) x12xy
C) yx
D) y12xy

Answers

Answer: b

Step-by-step explanation:

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have

Answers

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

Answer:

it is one solution

Step-by-step explanation:

whats 8.546 rounded to the nearest one​

Answers

Answer:

9

Step-by-step explanation:

ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same

8.5

5 is 5 or more so you round up

to 9

The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?
360π
720π
21,600π
43,200π

Answers

Answer:

i think c 21600pi

Step-by-step explanation:

Answer:

C. 21600π

Step-by-step explanation:

help ASAP. Which relation is a function?​

Answers

Answer:

Top right graph.

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.

Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.

Will Give brainliest plus 25 points

Answers

Plug in -4 for the x value, derive the equation at that value and see if it equals 6. If it equals anything other than 6, the set is not a solution

What is the fraction in simplest form?

14/16


7/8

28/32

7/16

7/9​

Answers

Answer:

7/8

Step-by-step explanation:

wolverine and cyclops ordered large pizzas for dinner. Wolverine ate 1-3/8 pizzas and cyclops ate 1/12 of a pizza. which of the following statements is true

Answers

Answer:

What statements are you talking about

Step-by-step explanation:

A corporate team-building event costs $4 for every attendee. How many attendees can
there be, at most, if the budget for the corporate team-building event is $36?

Answers

It would be 9. Because each person has to pay 4$ so 9*4=36 or 36/4=9

In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed

Answers

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:32-12=20

20+12=32

MARKING BRAINLY PLEASE JUST HELPPP


Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.

Answers

Answer:

i don't it is correct or not........

Step-by-step explanation:

The Mass of Earth = 5.9742 × 1024 kilograms == == The Earth is (As of May 2000) is thought to be approximately 5.972 sextillion (5,972,000,000,000,000,000,000) metric tons.

A metric ton is a thousand kilograms, or 2,204.62 pounds.

Approximately 6,000,000,000,000,000,000,000,000 (6x1024) kilograms.

Answer:

Mass on water on earth is 29.5×10^20 kg approximately.

Step-by-step explanation:

Mass of earth= 5.9726 × 10^ 24 kg

water's mass is only 5 × 10 -4 percent of the Earth's total mass.

so mass of water = 5.9726×10^24 kg×5×10^-4=29.8603×10^20kg approximately

Evaluate the following: −3 − (−8).

Answers

Answer:

5

Step-by-step explanation:

When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.

From here, we have -3+8.

Now we subtract since each value has a different sign and we get +5.

Hope this helps!! :)

Answer:

5

Step-by-step explanation:

-*-=+

-*+=-

+*+=+

-3-(-8)=5

-3+8=5

what is six less than 9

Answers

Answer:

3

Step-by-step explanation:

9-6=3

Question 11 of 17
What division equation does the model show ?

Answers

There is no attached document...

Psychology 101: Is it normal for school age people to have crushes on their teachers or professors?

Answers

Answer:

it is normal, but not right to act upon

I have a six sided cube what is the experimental probability of rolling a six

Answers

1/6 would be the probability

Compute please help

Answers

Answer:

- 3.46 + ( - 4.23 ) = 7.69

- 5.6 + 27.4 = 21.8

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