The pair of points (-4, y) and (5, 7) lie on a line with slope . What is the value of y? You must show all of your work to receive credit

Answers

Answer 1

The slope of a line is given by the ratio of the rise to the run of the line.

The value of, y is 4

Reasons:

The given points on the line are; (-4, y), and (5, 7)

The slope of the line, = [tex]\dfrac{1}{3}[/tex]

Required:

To find the value of y

Solution:

The formula for the slope is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where;

(x₁, y₁) = (-4, y)

(x₂, y₂) = (5, 7)

Which gives;

[tex]Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}[/tex]

3·(7 - y) = 1·(5 + 4) = 9

21 - 3·y = 9

3·y = 21 - 9 = 12

[tex]y = \dfrac{12}{3} = 4[/tex]

The value of, y = 4

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Related Questions

How many ways can 7 students be selected from an organization of 30 to attend a national conference?

Determine the number of possibilities for selection. Express your solution in a complete sentence reflective of the scenario.

Answers

The number of possibilities for selection is 2,035,000 ways

This question has to do with the combination

Given the following parameters

Total number of students = 30 students

If 7 students are to be selected from a pool of 30 students, the number of ways this can be done is expressed as:

30C7 = 30!/(30-7)!7!

30C7 = 30*29*28*27*26*25*24*23!/23!*7!

30C7 = 30*29*28*27*26*25*24/7!

30C7 = 10,260,432,000/5040

30C7 = 2,035,800

This shows that the number of possibilities for selection is 2,035,000 ways

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The sum is 14 you have 6 what is the other addend

Answers

Answer:

8

Step-by-step explanation:

6 + x = 14

Solve for x

Use Inverse operation

14 - 6 = 8

Meaning the answer would be 8.

PLEASE HELP

how i find b in y=mx+b
the coordinates are (4,2) and (11,18)
Please show your work
THANK YOU

Answers

Answer:

b=16/7

Step-by-step explanation:

b= y2-y1/x2-x1

b=18-2/11-4

b=16/7

answer this problem with the picutre

Answers

Answer:

75

Step-by-step explanation:

If we go from the bottom to the line that averages the sold cones by temperature (I forget its exact name), and then go to the left from that exact spot, it appears to be 75 cones.

Please answer
A=
B=
C=

Answers

Answer:

I can't see the file

Step-by-step explanation:

524cars/4weeks find unit rate​

Answers

9514 1404 393

Answer:

  131 cars/week

Step-by-step explanation:

Finish simplifying the fraction you wrote:

  (524 cars)/(4 weeks) = (524/4) cars/week = 131 cars/week

suppose that the candy machine holds exactly 650 skittles, and every time someone inserts a quarter, exactly 7 skittles come out of the machine.
a. how many skittles will be left in the machine after 20 quarters have been inserted?
b.

Answers

Answer:

510 skittles left in the machine

Step-by-step explanation:

7 skittles x 20 quaters = 140 skittles taken out

650 - 140 = 510

Find an equation for the horizontal line through the point (2,−8).

Answers

Answer:

X=2

Step-by-step explanation:

X is the horizontal line and in this coordinate pair, 2 is our X. Therefore X=2

Answer:

y = -8

Step-by-step explanation:

You can have a horizontal line parallel to the x-axis which is also known as y=c. Since you had the point (2,-8) you can simply write y = -8 as an equation.

if
[tex] \frac{x}{y} = - 2[/tex]
solve this:
[tex] \sqrt{ \frac{ {x}^{2} }{ {y}^{2} } + \frac{ {y}^{2} }{ {x}^{2} } } [/tex]

Answers

Answer:

[tex]\sqrt{17}/2[/tex]

Step-by-step explanation:

Given:

x/y = - 2

Then:

y/x = - 1/2

Solve the expression:

[tex]\sqrt{x^2/y^2+y^2/x^2} =[/tex][tex]\sqrt{(x/y)^2+(y/x)^2} =[/tex][tex]\sqrt{(-2)^2+(-1/2)^2} =[/tex][tex]\sqrt{4+1/4} =[/tex][tex]\sqrt{17/4} =[/tex][tex]\sqrt{17}/2[/tex]

x/y = -2

Then,

x = -2

y = 1

=》y/x = 1/-2 = -1/2

The remaining steps are attached. Please check.

=》 Final answer = √17/4 = 2.061 (approx.)

______

RainbowSalt2222 ☔

Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.

Drag tiles to complete the statements.

Answers

Answer:

the correct one is d

Step-by-step explanation:

so out 9

Point E is the image of point D across the y-axis.

What is reflection?

A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a fixed point set; this set is known as the axis or plane of reflection. A figure's mirror image in the axis or plane of reflection is its image by reflection.

Given that Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.

The coordinates are the reflection of each other across the y-axis on the coordinate plane.

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Lucky wom $500 in a lottery. She used 25% of her money to buy candies and saved the rest. How much money did she use? Write the answer as fraction and decimal.​

Answers

Answer:

1/8 1.25

Step-by-step explanation:

i need help with this problem. asap.

Answers

Answer:

dang I don't know! All I know is that it is more than 1-2 inches... I think.

Answer:

4 hours

Step-by-step explanation:

What is mKNL?
Enter your answer in the box.

Answers

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

[tex]5x+2={3(x+14)[/tex]

Now let's solve for x now

[tex]5x+2=3(x+14)\\[/tex]

[tex]5x+2=3x+42[/tex]

[tex]5x-3x=42-2[/tex]

[tex]2x=40[/tex]

[tex]\frac{2x}{2} =\frac{40}{2}[/tex]

[tex]x=20 \\[/tex]

Now let's find the value of KNL

[tex]3(x+14)\\3(20+14)\\3*34\\102[/tex]

Hope this helps you.

Let me know if you have any other questions ;-)

Learn with an example
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Watch a tutorial
Que:
ansv
Find the slope of the line that passes through (9, 3) and (2,8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

1/5 and that’s the answer hope it helps

due right now help ill mark you brainly if its correct

Answers

Answer:

all but 1/6

Step-by-step explanation:

Answer:

2/6 3/9 4/12 are the answers

WILL MARK BRAINLIEST <3 Each of the letters in the word "HANDIWORK" are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will fall between "F" and "Q" in the alphabet?
5/9
3/9
1/2
7/9

Answers

The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the word "HANDIWORK", the total letters in the word are 9 letters.Total outcome = 9 letters

For the number of events, we will have to find the letters between F and Q in the "HANDIWORK". The letters are n(E) = {H, N, I, O, K}Hence n(E) = 5

Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9

Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9

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Three integers sum to 57. The second integer is twice the first integer. The third integer is seven less than five times the first integer. What are the three integers?

Answers

Answer:

a=8

b=16

c=33

Step-by-step explanation:

Let's call the integers a, b, and c. (a is the first, b is the second, and c is the third.)

a+b+c=57

Write the second two sentences as equations.

b=2a

c=5a-7

Plug in these values of b and c to the original equation.

a+(2a)+(5a-7)=57

Solve for a:

a+2a+5a-7=57

8a-7=57

8a=64

a=8

Now, plug in your solution for a into the equations for b and c to solve for them.

b=2a=2(8)=16

c=5a-7=5(8)-7=40-7=33

You can add up your answers for a, b, and c to make sure you're correct.

a+b+c=8+16+33=57

I hope this helped!

Solve for x by writing the equation in exponential form.
log7(2x + 17) = 2

Answers

Given :-

log 7( 2x +17) = 2 .

To Find :-

The value of x .

Solution :-

Given logarithmic equation is ,

[tex]\longrightarrow log_7(2x +17) = 2 [/tex]

As we know that ,

[tex]\longrightarrow log_a b = c [/tex]

can be rewritten as ,

[tex]\longrightarrow a^c = b [/tex]

So , that

[tex]\longrightarrow 7^2 = 2x + 17 [/tex]

Simplify ,

[tex]\longrightarrow 49 = 2x + 17 [/tex]

Subtract 17 from both sides ,

[tex]\longrightarrow 2x = 32 [/tex]

Divide both sides by 2 ,

[tex]\longrightarrow x = 16 [/tex]

Hence the required answer is 16 .

Refer to the attachment!

Help help help help help

Answers

Answer:

x>22

Step-by-step explanation:

3(x+4)>18

3x+12> 54

3x>66

x>22

SOMEBODY HELP ME PLEASE

Answers

Answer:

1. -2

2. -10

3. -30

4. -2

5. -21

6. -10

7. -1

8. -4

9. -170

10. -15

11. 18

12. -45

13. 15

14. -35

15. 18

16. -48/7

17. 6

18. -9

19. 114/9

20. -18

aling mely bought 1 3/4kg of cashew nuts, 5/8 od peanuts, and 1 1/2 kg of pimnuts.how many kilogram of nuts did she buy.

Answers

Answer:

Aling Mely  buy 31/8 kg or 3.875 kg or 3 7/8 kg of nuts.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1 \dfrac{3}{4}+ \dfrac{5}{8}+ 1\dfrac{1}{2} = \dfrac{7}{4}+ \dfrac{5}{8} + \dfrac{3}{2}\\\\\\LCM = 8\\\\= \dfrac{7*2}{4*2}+ \dfrac{5}{8}+ \dfrac{3*4}{2*4}\\\\\\= \dfrac{14}{8}+ \dfrac{5}{8}+ \dfrac{12}{8}\\\\\\= \dfrac{14+5+12}{8}= \dfrac{31}{8}\\\\\\= 3 \dfrac{7}{8} \ Kg[/tex]

ariel age is twice that of her brother Ben. The sum of their age is 24. Find their ages.

Please help :)

Answers

2x in this case x is Bens age, so 2x+x=24, 3x=24. X=8 and that’s bens age and Ariels age is 2(8) which is 16

What is the opposite of 8/7

Answers

Answer:

7/8

Step-by-step explanation:

i know

Answer:

7/8 XD

Step-by-step explanation:

Please help asap! really important!!

Answers

Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero

Margie volunteered to supply heart-shaped sugar cookies for her third-grade class' Valentine's Day party. Her mom will use premade cookie dough in a tub and buy pink frosting and sprinkles, too. Margie would like to give one cookie to each of her 26 classmates. One tub of cookie dough makes 20 cookies and costs $9.95. The frosting will cover 30 cookies and costs $4.59. The package of sprinkles covers up to cookies 60 and costs $2.29. When Margie's sister, Nicole, hears about the cookies, she asks her mom if they can bake one cookie for each of the students in her class, too. Nicole is in fifth grade and she has 31 students in her class. How much will the ingredients cost for both of the classes?

Answers

Answer: $41.32

Step-by-step explanation:

1. Figure out how many students need cookies.

26 + 31 = 57, 57 students need cookies, thus they need to make at least 57 cookies.

2. Figure out which ingredients are still needed.

One tub of cookie dough makes 20 cookies, so to make 57 cookies, they will need at least three tubs. One frosting tin covers 30 cookies, so to cover 57 cookies, they will need at least two tins. One bag of sprinkles covers 60 cookies, so they will only need one bag, as 60 > 57.

3. Tally up the prices of each ingredient

Price of cookie dough = 9.95, amount of cookie dough needed = 3

9.95 * 3 = 29.85

Price of frosting = $4.59, amount of frosting needed = 2

4.59 * 2 = 9.18

Price of sprinkles = 2.29, amount of sprinkles needed = 1

2.29 * 1 = 2.29

4. Find the sum.

29.85 + 9.18 + 2.29 = 41.32

what's the sum of 14 12 8 6

Answers

Answer:

40

Step-by-step explanation:

14 + 12 + 8 + 6 = 40

Answer:

40

Step-by-step explanation:

14+12=26+8=34+6=40

Sixth grade math please in K12


Item 3

Divide.


5892 ÷ 18



327


327 1/18


327 1/3


327 7/18
Help is apricated

Answers

Answer:

327r6

Step-by-step explanation:

Too long, if you really need it, comment on this answer.

Which shows the integers in
order from greatest to least?
o) 8,-9,-10, 11
p) -1, 48, -50, -97
q) 23,0, -4,-52
r) -63,-59,-16,0
Pls answer asap

Answers

ANSWER: q





Hope this helps.

Answer:

Q: 23, 0, - 4, - 52

Step-by-step explanation:

HAVE A GREAT DAY

help!! giving brainliest

Answers

10/rn=8/5
8rn=50
1/8*8rn=50*1/8
RN=50/8
RN=25/4
RN= 6 1/4

what is 3 divided by 4

show your work

Answers

Answer:

0.75

Step-by-step explanation:

Answer:

3/4= 0.75

Step-by-step explanation:

4 can be divided into 3 parts but it will be lower than 1.

think of it this way, there are 4 groups and you have to divide 3 things equally into the 4 groups.

because you can't do a whole number, it will be a decimal.

3/4=0.75

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