Determine another point on the line given two points on the line. (-2, 9), (2, -1)

Answers

Answer 1

Answer:

(4,-6)  

Step-by-step explanation:

1) First, let's find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the x and y values of (-2,9) and (2,-1) into it, then solve:

[tex]m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}[/tex]

So, the slope of the line is [tex]-\frac{5}{2}[/tex].

2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is [tex]\frac{rise}{run}[/tex]. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).

Determine Another Point On The Line Given Two Points On The Line. (-2, 9), (2, -1)

Related Questions

20% of what number = 100

Answers

Answer:

500

Step-by-step explanation:

is 100 is 20%, multiply 100 by 5

answer: 500

explanation:

20% times 5 is 100 so 100 times 5

PLEASE HELP DUE TODAY

Answers

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?

liters of 30% acid
liters of 40% acid

Answers

Answer:

30 = 80 %

40= 20 %

Step-by-step explanation

I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent

The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be 30% solution of acid and y be 40% solution of acid.

Total quantity of solution is 65 liters.

Now, x+y=65 ----------(i)

Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.

So, the equation is 30% of x+40% of y=32% of 65

0.30x+0.40y=0.32×65

0.30x+0.40y=20.8 ----------(ii)

From equation (i), x=65-y

Substitute x=65-y in equation (ii), we get

0.30(65-y)+0.40y=20.8

19.5-0.30y+0.40y=20.8

0.10y=20.8-19.5

0.10y=1.3

y=1.3/0.1

y=13

Substitute y=13 in equation (i), we get x=52

Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.

How much money does Miguel have left?

Miguel has $ left.

Answers

19.2 is your answer i am 100% sure of it have a great day! plz mark brainlyest

Answer:

answer is 19.2 left ........

An administrator at a local high school wanted to investigate whether there is an association between the amount of time a student studies for a test and the type of extracurricular activity the student is involved in. Three hundred students selected at random were asked how long they had studied for the last math test and how many extracurricular activities they are involved in. The times they had studied were recorded as either not at all, less than 30 minutes, or more than 30 minutes. Each student also identified which extracurricular activity (out of a total of 5 extra curricular activities) they were involved in. The calculated chi-square test statistic was 7.53 with a corresponding

Answers

Answer:

The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".

Step-by-step explanation:

The state of the hypotheses values

Null hypothesis:

[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test  and what kind of endurance sport he or she participates in.

Null hypothesis:

[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the  type of endurance sport in that he or she participates.

Law of Rejection:

Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807,  which is greater than 0.05, based on the information provided.

1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,​

Answers

Answer:

3/2

Step-by-step explanation:

2y = 3x + 4

y = (3/2)x + 2

^ ^ ^ ^

y = m x + c

m = 3/2

5x5x5x5x5x5+ 10-2x10x20

Answers

Answer:

15,235

Step-by-step explanation:

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Parallel to y = 2x – 5
going through (-6, 1)?

Answers

Answer:

y=2x+13

Step-by-step explanation:

Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.

Therefore the gradient of the other line will also be 2.

Introduce another point (x,y) and then equate using the gradient as follows:

y-1/x--6=2

y-1/x+6=2

Cross multiplication;

(y-1)=2(x+6)

y-1=2x+12

y=2x+12+1

y=2x+13

A school needs 2,400 notebooks for next year if the notebooks come in packages of 60, how many packages should the school buy?

Answers

Answer:

40

Step-by-step explanation:

Divide 2400 by 60 to get 40

Hope this helps!

Answer:

40

-step explanation:

A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?

Answers

Answer:

128

Step-by-step explanation:

please help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The Blue box is your answer

Step-by-step explanation:

Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.

Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа

Answers

yeah is there a language filter on here ? orr

How many pairs of opposite sides are parallel

Answers

One pair is parallel
1 of the sides are parallel

sally has 200$ in her checking account and gets paid 15$ an hour for babysitting kent has $245 in his checking account and gets paid $12 an hour for baby sitting how many hours do kent and sally need to work to have the same amount on money in their checking account

Answers

Answer:

Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.

Step-by-step explanation:

Set up equations.

x = hours, T = total $

Sally:

T = 200 + 15x

Kent:

T = 245 + 12x

Set both equations equal to each other.

200 + 15x = 245 + 12x       (subtract 200 from both sides)

15x = 45 + 12x          (subtract 12x from both sides)

3x = 45            (divide both sides by 3)

x = 15

The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?

Answers

Answer:

why is brainlys tutor system not free anymore

Step-by-step explanation:

I really need to know all of a sudden it's not free anymore

Answer:

A=L×W

600=L×30

600/30=L

L=20

therefore the length is 20m

If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?

Answers

94 x 50 = 4700 square feet

Answer:

4700

Step-by-step explanation:

To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred


In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?

Answers

Answer:

43 inches

Step-by-step explanation:

Please help 13 points number 3 no links !

Answers

Answer:

H

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]

Answer:

Hi, using L.C.M, It will be option H

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. ​n=10 p=0.15 x<4


The probability of x<4 successes is

Answers

The probability of x<4 successes is P(X <4) = 0.01909.

How to find that a given condition can be modelled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

In this question:

​n=10 p=0.15 x<4

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]

So, P(X <4) = 0.01909.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

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Help fast plsssssssssss

Answers

-9-(-12)=-9+12=3
-9-12=-9+(-12)=-21

Answer:

- and -. =+ so-9+12=3

Step-by-step explanation:

the minus changes to plus and then we solve

Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point

Answers

Answer:

A = 414.69 km^2

Step-by-step explanation:

A = 2 π r h + 2 π r^2

A = 2(30)(pi) + 2(36)(pi)

A = 132pi

A = 414.69 km^2

A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)

Answers

Answer:

Step-by-step explanation:

any  combination that has as result 18

18 x1

9 x2

6x3

Please help me in like 2 minutes due in 3 minutes

Answers

The answer: 2+4x5=22

Answer:

5 dummy

Step-by-step explanation:

1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64


2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles


Giving brainly to Who every answer this question Please explain

Answers

1. I think is C
2. a

Answer:

For question one: $8.28

For question two: 28 miles

Step-by-step explanation:

For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28

For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.

Find the surface area plz

Answers

Answer:

Step-by-step explanation:

4 triangles

Each of the 3 from the vertical ones has area

A = bh/2 = 10.12/2 = 60ft^2

The latter surface pointing down

A = bh/2 = 10.8.7/2 = 43.5 ft^2

SO summation of all

60+43.5 = 103.5 ft^2

If 40 is increased to 56, what is the percent of change?

80%
29%
40%
71%


Answers

The percent of change is 71%

Answer:

what the first person said

Step-by-step explanation:

To help with his retirement savings, Dan has decided to invest. Assuming an interest rate of 3,43% compounded quarterly, how much would he have to invest
to have $148,700 after 18 years?
Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
00
si
X
5
?

Answers

Answer:

He would have to invest $80,412.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Assuming an interest rate of 3,43% compounded quarterly.

This means that [tex]r = 0.0343, n = 4[/tex]

How much would he have to invest to have $148,700 after 18 years?

This is P for which [tex]t = 18, A(t) = 148700[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]

[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]

[tex]P = 80412[/tex]

He would have to invest $80,412.

Which statement describes a unit rate?
A. Joe rides his bike 5 miles and walks 1 mile.
B. Joe rides his bike 30 miles in 3 hours.
C. Joe rides his bike 15 miles per 1 hour.
D. Joe rides his bike 1
2
mile in 10 minutes.

Answers

Answer:

C

Step-by-step explanation:

unit rate means 1 and it says that 15 per hour which shows that c is the answer

Answer:

C. Joe rides his bike 15 miles per1 hour.

Step-by-step explanation:

Key word: PER

Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!

pleaseee???? anyone? need helpp

Answers

Answer:

x=9

Step-by-step explanation:

Thats your answer

What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.

O 7.1
O 8.7
O 21.3
O 26.7

Answers

Answer:

8.7

Step-by-step explanation:

formula

d = sqrt(s^2 + s^2 + s^2)

d = sqrt(3*5^2)

d = sqrt(75)

d = 8.7

Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)

Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.

Answer:

hello love! your answer is 8.7cm :)

Step-by-step explanation:

i got it right on edge !

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