What is an equation for the line that passes through the points (-2, 3) and (2, 1)

Answers

Answer 1
First find slope
(1-3)/(2+2) = -2/4 = -1/2
Y = -1/2x + b, plug in point
3 = -1/2(-2) + b
3 = 1 + b, b= 2
Final equation: y = -1/2x + 3

Related Questions

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?

Answers

Answer:

i do not know i will try .

Prove or give a counterexample: Every positive integer can be expressed as the sum of three or fewer perfect squares. (A perfect square is an integer n for which there is an integer k with the property: n

Answers

Answer:

Statement is incorrect

Step-by-step explanation:

Every positive integer cannot be expressed as the sum of three or fewer perfect squares.

Supposing the number 7 only squares less than are 0, 1  and   4

Clearly 7 can not be written using three or fewer of these numbers

It is proved

By taking Cube root of 7

[tex]\sqrt[3]{7}[/tex] = 1.912931183

Now By taking  

[tex]\sqrt{7}[/tex] = 2.64575131

So both values 1.912931183 and 2.64575131 are not positive integers.

Hence the statement is incorrect.

I need help on this one

Answers

4. Find the area of each triangle. The formula is A=1/2(bh) so the area of the first triangle is 6, Bc 3•4 is 12, divided by 2 is 6.

The area of the second triangle is 24, because 6•8 is 48, divided by 2 is 24. And 24 is four times the value of 6, making the area scale factor 4.

Hope this helped!

Which expression is modeled by this arrangement of tiles?


A. -40÷10

B. 40÷(-10)

C. 40÷10

D. 40÷40

Answers

Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

PLS HELP MEEEEEE
Two babysitters have the following price schedules: Susan charges $5 per hour plus a $2 base fee. Sarah charges $7 per hour. Use graphing to find the point where the two
will charge the same amount.

Answers

at the first hour because 5 plus 2 equals 7 and 7 is the the charges sarah charges

Answer:

hhhhhhhhhhhhhhhhhhjhhhhhhhhh

if matt's average speed was 8 km/hr how far did he travel in 15 minutes

Answers

Answer:

2km

Step-by-step explanation:

8km/h×15minutes÷60minutes=2km

The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of a label that covers the entire side of the can and that need a 0.8-cm overlap to glue the ends of the label? Round to the nearest tenth.

Answers

Answer:

[tex]180.4~cm^2[/tex]

Step-by-step explanation:

Surface Area

The surface area of a cylinder of height h and radius r is given by:

[tex]A=2\pi rh[/tex]

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

[tex]A=2\pi rh+2\pi r^2[/tex]

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

[tex]A=2\pi (3.25)(8.5)[/tex]

[tex]A=173.6~cm^2[/tex]

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

[tex]A_o= 0.8*8.5=6.8~cm^2[/tex]

The total area of the label is:

[tex]A=173.6~cm^2+6.8~cm^2=180.4~cm^2[/tex]

The area of the label is [tex]\mathbf{180.4~cm^2}[/tex]

Greta mails 4 postcards on Monday, Wednesday, and Friday. She mails 5 postcards on Tuesday and Thursday and no postcards Saturday or Sunday. She believes that she will mail over 200 postcards if she does this for the entire 12 weeks that she is studying abroad.

Which are reasonable estimates for the number of postcards that Greta mails? Check all that apply.

60
120
200
220
240

Answers

200, 220, and 240. I think, sorry if I’m wrong <33

Which recursive formula defines the sequence?

f(1) = 6, f(4) = 12, f(7) = 18

Answers

Step-by-step explanation:

Can anyone please help with this problem ASAP ?

Answers

Answer:

4 would be $55.00 and 8 would be $75.00

4) 55
8) 75

Hope this helps

0.5 (x4 - 3) + 12
WILL MARK BRAINLEST PLEASEEE HURRYYYYY!!!!!!!!

Answers

0.5x^4+10.5 or 12.5 simplified is correct answer. Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

Y=-5x+2 fill in the table using this function rule

Answers

X Y

-6 4

-3 1

0 6

3 -9

That’s the real answer

The required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Since we are not given the x - values, let the x values be -6, -3, 0 and 3

Given the function of y with respect to x;

y = -5x + 2

We need to get all the y-values for the given values of x as shown;

If x  = -6

y = -5 (-6) + 2

y = 30 + 2

y = 32

If x  = -3

y = -5 (-3) + 2

y = 15 + 2

y = 17

If x  = 0

y = -5 (0) + 2

y = 0 + 2

y = 2

If x  = 3

y = -5 (3) + 2

y = -15 + 2

y = -13

Hence the required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Learn more here: https://brainly.com/question/15011804

Please turn the sentence into an expression

3. twelve more than the sum of ten and a
number

Answers

Answer:

Do U-Turn

Step-by-step explanation:

Step-by-step explanation:

12+(10+x)

I hope this helps

How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?

Answers

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

[tex]P(Same) > \frac{2}{3}[/tex]

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]

i.e.

[tex]P(none) = (\frac{364}{365})^n[/tex]

Solving further, we have that:

[tex]P(same) + P(none) = 1[/tex]

[tex]P(same) + (\frac{364}{365})^n = 1[/tex]

[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]

We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].

So, we have:

[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]

Collect Like Terms

[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]

[tex]3^{-1} > (\frac{364}{365})^n[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]

[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]

Apply laws of logarithm

[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]

Multiply through by -1

[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]

Solve for n

[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]

Reorder

[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]

[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]

[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]

[tex]n > 400.443928891[/tex]

[tex]n > 400[/tex] (approximated)

This implies that n = 401, 402, 403 .....

i.e

[tex]n \geq 401[/tex]

So, at least 401 people has to be invited

what’s the nth term of -5,-4,-1,4,11,20,31

Answers

Answer:

The nth term is n + odd numbers

Thank you and please rate me as brainliest as it will help me to level up

A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!

Answers

He would earn $1,647.20 in commissions. To calculate this: cost of car * commission rate = his commission. 28,400 * .058 = $1,647.20

What is (4-5y) - (2y-16)

Answers

Answer:

4 - 5y - 2y + 16

like terms

20 - 7y

Answer:

4-5y)-(2y-16)=0

Step-by-step explanation:We add all the numbers together, and all the variables

(-5y+4)-(2y-16)=0

We get rid of parentheses

-5y-2y+4+16=0

We add all the numbers together, and all the variables

-7y+20=0

We move all terms containing y to the left, all other terms to the right

-7y=-20

y=-20/-7

y=2+6/7

the first six multiples of 6

Answers

6, 12, 18, 24, 30, 36

What is the measure of 1 Explain

Answers

Answer:

what measure one

Step-by-step explanation:

What are u talking bout

There is no picture or anything

Answer:

I wish I could help.

Step-by-step explanation:

There is no picture or a complex explanation.

Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an iPad pro. Clara received 5 tickets for good attendance, 4 for making the honor roll, and 8 for tutoring other students.
What is the probability that one of Clara’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)

Answers

Answer:

0.89%

Step-by-step explanation:

Given that :

Total number of raffle tickets = 1900

Total number of Clara's tickets (5 + 4 + 8) = 17

Probability that one of Clara's tickets will be picked :

Probability = (required outcome / Total possible outcomes)

Required outcome = total number of Clara's ticket

Total possible outcomes = total number of raffle tickets

Hence,

P(picking one of Clara's tickets) = 17 / 1900

17 / 1900 = 0.0089473

0.0089473 * 100%

= 0.8947%

= 0.89%

A classmate tells you that there are two Fahrenheit temperature that is the same as the Celsius temperature. They tell you it is 50 degrees and -40 degrees. Is your classmate correct or incorrect explain your reasoning.

Answers

Answer:

Step-by-step explanation:

the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.

-40-32 is -72. multiply that by 5/9 and that is -40

50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong

BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?

A. 1/2
B. -1/2
C. -2
D. 2

Answers

Answer:

C

Step-by-step explanation:

We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.

To find the slope of a line given any two points, we can consider using the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the two points.

We have the two points (-3, 3) and (-1, -1).

So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).

Substitute and evaluate:

[tex]\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}[/tex]

So, the slope of the line is -2.

In conclusion, our answer is C.

Answer:

m=-2

Step-by-step explanation:

Its just -2 I cant explain sorry

A pizzeria charges $4 per slice of pizza, plus an additional $0.50 per topping. If Erica has at most $13.50 to spend on her pizza, how many toppings could she get on ONE slice of pizza? Write an inequality expression that represents the situation and solve! Explain your reasoning​

Answers

Answer:

19 topings

t=(13.5-4)/.5

Step-by-step explanation:

13.5-4

=9.5

9.5/.5

=19

A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent

Answers

Answer:

i cant see the graph if there was a graph with it it would really help lol

Step-by-step explanation:

Answer:

Don't Be mean Online. Be a buddy, Not a Bully

Step-by-step explanation:

what is 3/4 + 1/2 and what is 1/3 + 11/48 in simplest form and a mixed number

Answers

Answer:

1) 5/4 or 1 1/4

2) 9/16

Step-by-step explanation:

3/4+1/2: you multiply 1/2 by 2 to get a common denominator then get 2/4, 3+2=5, 5/4 or 1 1/4

1/3+11/48: you multiply 1/3 by 16 to get common denominator & get 16/48, 16+11= 27/48, divide by 3 & get simplest form of 9/16

Answer:

3/4+1/2= 1 5/8  and 1/3+11/48 is not a mixed number 9/16

Step-by-step explanation:

Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP​

Answers

Answer:

She typed 32 words in her letter

Step-by-step explanation:

Assume that the letter has x words

She typed x words in her letter

∵ She misspelled 8 words

∵ She misspelled 25% of the words she typed

She misspelled 25% of x

→ That means 8 is equivalent to 25% of x

∴ 25% of x = 8

25% × x = 8

→ Change 25% to decimal by divide it by 100

∵ 25% = 25 ÷ 100 = 0.25

∴ 0.25 × x = 8

∴ 0.25x = 8

→ Divide both sides by 0.25

∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]

x = 32

∵ x represents the number of words that she typed in the letter

She typed 32 words in her letter

You have 60 ft of fence to make a rectangular vegetable garden alongside the wall of your house. The wall of the house bounds one side of the vegetable garden. What is the largest possible area of the vegetable garden?

Answers

Answer:

400 ft²

Step-by-step explanation:

The maximum area of a rectangle results from it being a square. The rectangle (or square) must have 4 equal sides in order to maximize area. But in this case, one side is a wall. That means that the remaining three sides will be = 60 / 3 = 20 feet long. You formed an square that is 20 ft x 20 ft = 400 ft²

Find the equation of the line.
The line is perpendicular to y = 1/2x +5 and passes through the point (4,7).

The equation of the line is: y =

Answers

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

I Need Helpp PLZZ i will mark as brainliest

Answers

Answer:

9x+18

Reasoning:

You multiply x by 9 and 2 by 9 and it expands out from 9(x+2) to 9x+18

I hope this helps and good luck!

Answer:

9x + 18

Step-by-step explanation:

9 times x = 9x

9 x 2 = 18

A rectangular solar panel has a length of 11 inches shorter than 4 times it’s width if the perimeter of the panel is 218 inches what are the dimensions of the panel

Answers

Rip king von‼️ to send respect mark me brainiest
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What role did judges play among the Israelites, according to the Bible Proteins and carbohydrates have many functions in the body of an organism. Specific proteins and carbohydrates perform specific tasks. Information abouta protein and a carbohydrate is given below.FerritinFerritin is a protein containing Iron, which isneeded by all living things. Iron is foundIn hemoglobin and in cytochromes, whichfunction in metabolism. Free iron candamage proteins, lipids, and nucleic acids.GlycogenGlycogen is a carbohydrate that consists ofglucose molecules. It can be hydrolyzed asglucose as needed by an organism.How are ferritin and glycogen similar in their primary functions for an organism?O Both store materials needed by the organism.Both store energy used by the organism.Both support the structure of the organism.O Both store information for the organism. 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