Mathematics Middle School

Which of the following equations describe the line (-6, 2) (-1, -4)? (Graph below)

A. y - 4 = -5/6(x - 1)
B. y - 2 = -5/6(x + 6)
C. y + 4 = -6/5(x + 1)
D. y + 4 = -5/6(x + 1)
E. y - 2 = -6/5(x + 6)
F. y - 6 = -6/5(x + 2)

Answers

Answer 1
I notice that all the choices are written in Point-Slope Formula. This is a key factor in answering your question. 

So usually we solve for slope, plug into point-slope form, then solve for slope intercept.

We only have to do the first 2 steps: 

Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{-4-2}{-1-(-6)} = \frac{-6}{5} [/tex]
Slope: [tex]- \frac{6}{5} [/tex]
Point-slope formula: [tex]y - y1 = m(x-x1) [/tex] where m is equivalent to slope. 
Plug in values: [tex]y -2 = -\frac{6}{5}(x + 6) [/tex] 


We can also rewrite the equation like this using the other coordinates. 

Plug in value: [tex]y + 4 = - \frac{6}{5}(x + 1)[/tex]
Answer 2

Answer: c.

Step-by-step explanation:

Related Questions

I need help on this problem

Answers

The value of x
3x°+46°+(2x-1°)=180°(angle sum of △)
5x+45=180°
5x=180°-45
x=135÷5
x=27
x is 27

put x into angle B,we have
2(27)-1
=53

thus angleB is 53°

hope it helps c:
In Euclidean geometry (the geometry you're probably familiar with), the interior angles of a triangle always add to 180°.

With that knowledge, we can set up an equation that lets us solve for x based on our given angles by setting their sum equal to 180.

[tex]3x+(2x-1)+46=180\\5x+45=180\\5x=135\\x=27[/tex]

To find ∠B, we simply substitute the x for 27:

[tex]2x-1=2(27)-1=54-1=53[/tex]

So, m∠B = 53°.

Estimate 37,496 divided by 603

Answers

if you are looking for compatible numbers
 36000 / 600 = 60

if you are estimating to the same place
 37,500 / 600 = 62.5

X y
1 12
5 40
10 50
15 170
20 280
25 410

What is the curve of best fit for the data shown?
A) y = 16x2 - 51x + 9
B) y = 0.2x2 + x + 23
C) y = 10x2 - 0.5x + 8
D) y = 0.6x2 - 0.02x + 11

Answers

The best fit curve for #1 is D. The easiest way to check these is by pluggin in to the equation and seeing if they come close. By doing just the first ordered pair along, it is apparent that only D will work.

With x = 1 input

A) -36

B) 24.2

C) 17.5

D) 11.58

#2 is also D. We can tell this because multiplying any of these options always results in a middle term between them. For instance, if you multiply out C, you will not only get x^4 and x^4, but you will also get terms such as 4x^2y^2 in the middle.

Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent?
Select all that apply.

18 × 104
-0.00018
0.00018
1800
1.8 × 10-4

WILL MARK BEST ANSWER!

Answers

All but the last two

Answer:

0.00018 and 1.8 × 10-4

Step-by-step explanation:

Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.

1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.

So, the correct answers are :

0.00018 and 1.8 × 10-4

1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]

cos^4t - sin^4t = 1 - 2sin^2t

Answers

cos(t)^4 - sin(t)^4 = 1 - 2 sin(t)^2
cos(t)^4 = (cos(t)^2)^2 = (1 - sin(t)^2)^2:(1 - sin(t)^2)^2 - sin(t)^4 = ^?1 - 2 sin(t)^2
(1 - sin(t)^2)^2 = 1 - 2 sin(t)^2 + sin(t)^4:1 - 2 sin(t)^2 + sin(t)^4 - sin(t)^4 = ^?1 - 2 sin(t)^2
1 - 2 sin(t)^2 + sin(t)^4 - sin(t)^4 = 1 - 2 sin(t)^2:1 - 2 sin(t)^2 = ^?1 - 2 sin(t)^2
The left-hand side and right-hand side are identical:Answer: (identity has been verified) = Ture

How do you write 18 tens in standard form

Answers

1800 because the 18 cant fit in the tens

Is this a lCM or GCF

Answers

this is gcf greatest common factor

Answer:

This is greatest common factor.

Step-by-step explanation:

It said,”What is the greatest number of baskets?

There were 360 pumpkins in a pumpkin patch, but it was difficult for Farmer Joe to find the Perfect pumpkin. Every third pumpkin was too small. Every fourth pumpkin was too green. Every fifth pumpkin had a broken stem. Every sixth pumpkin had the wrong shape. How many perfect pumpkins did Farmer Joe find in the pumpkin patch?

Answers

6 pumpkins I guess good luck

which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold

Answers

B I think because air is a mixture
Final answer:

Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.

Explanation:

The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:

Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.

Based on these classifications, air is the one that cannot be classified as a substance.

Carla has $1000 in a Bank account. Each year she gets 50% interest on the total money in her bank account. How much will she have in her account after the end of 3 years

Answers

 i believe it should be $3,375.00

Eddie is reading a novel for English lass. He has read 173 out of 480. About what percent of the book he has read ?

Answers

Final answer:

Eddie has read about 36% of the book for his English class, calculated by dividing the number of pages read by the total number of pages and then multiplying by 100.

Explanation:

To determine what percent of the novel Eddie has read for his English class, you would use the formula for calculating percentage: Percentage = (Part / Total) × 100. In this case, the part is the number of pages Eddie has read (173 pages) and the total is the number of pages in the novel (480 pages).

Now, let's calculate the percentage:

Percentage = (173 / 480) × 100

First, divide 173 by 480, which gives approximately 0.3604. Then, multiply this result by 100 to convert it into a percentage.

Percentage = 0.3604 × 100 => 36.04%

Therefore, Eddie has read about 36% of the book for his English class.

How long will it take you to bike 225 miles at a speed of 15 miles per hour?

Answers

15 hours. So maybe call an Uber.

The time taken by the bile to cover 225 miles will be 15 hours.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.

The time will be calculated as below:-

Velocity = Distance / Time

15 = 225 / Time

Time = 225 / 15

Time = 15 hours

Therefore, the time taken by the bile to cover 225 miles will be 15 hours.

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Keith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches?

Answers

No, she cannot use a ratio of 21 to 6. You can figure this out in a few different ways. First you can simplify down the fraction 18/3, to get 6/1. 6/1 does not equal 21/6, because 21/6 equals 7/2. However, 6/1 it does equal 36/6. You could also noticed that three doubles to make six, yet 18 does not double to make 21

Answer:

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

Step-by-step explanation:

We are given the following in the question:

Keith uses 18 cherries and 3 peaches to make a pie filling

We find the ratio of number of cherries to number of peaches in the pie.

Equivalent Ratio =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]

This ration can be interpreted as:

There are 6 cherries in the pie for every 1 peach in the pie.

We have to check whether  Lena can use a ratio of 21 cherries to 6 peaches.

Lena's ratio of number of cherries to number of peaches in the pie =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

What number is shown on the graph ?

Answers

Answer:

B

Step-by-step explanation:

[tex]\sqrt{20}[/tex] = 4.47

4.47 + 2 = 6.47

How do the values of the digit 2 in the number 222.222 change for each place value

Answers

The values of the digit 2 in 222.222 change because the value goes up by 10

Kiki wants to rent a bounce house for her daughter's party. The cost, y, to rent a bounce house for a number of hours, x, is shown in the table. The initial set-up fee is included in the cost.

Answers

You have to make 2 equations

185 = 2(x) + y
X is the hours and y is the setup fee

315 = 4(x) + y

Now you solve the first
185 = 2x+y
185-y = 2x
(185-y)/2 = x
That means you can plug that value into the second equation where you see the x

315 = 4((185-y)/2) + y
315 = 370-2y + y
315 = 370 - y
-55 = - y
55 = y
So y is 55 (the setup fee)

Back to the original

185 = 2(x) + y
185 = 2(x) + 55
130 = 2x
65 = x

Now test it

575 = 8x + y
575 = 8(65) + 55
575 =  520 + 55
575 = 575

Answer:

The initial setup fee is $55.The hourly rate is $65.

Step-by-step explanation:

First of all, we need to find the equation that models this situation.

Let's find the constant ratio of change using two pair of values from the given table.

[tex]m=\frac{575-185}{8-2}=\frac{390}{6}=65[/tex]

The ratio of change is 65.

In other words, the hourly rate is $65, that is, 65 dollars per hour.

Then, we use the point-slope form to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-185=65(x-2)\\y=65x-130+185\\y=65x+55[/tex]

Where [tex]55[/tex] refers to the initial condition.

In other words, the initial setup fee is $55.

Use properties of addition and subtraction to evaluate the expression. −57−14−23 Enter your answer in the box.

Answers

-94?
I don’t know for sure though

Answer:

-94

Step-by-step explanation:

-57-14= -71

-71-23= -94

How many 6-ounce cups can be filled from 4 gallons of juice? Hint 1 gallon = 128 ounces

Answers

To solve this, you just multiply 4 by 128 to get 512. Then you divide 512 by 6 to get a number of cups to be about 85.
1 gallon = 128 oz
128/6= 21.33 cups
4x21.33= 85 cups 
85 cups can be filled from 4 gallons of juice

How much is 2.1x 82

Answers

2.1 x 82 =

172.2

I hope this answer was helpful! :)
2.1 x 82 = 172.2

172.2 is your answer

hope this helps


the farther an integer is from 0, the ______ its absolute value.

Answers

I think it's higher because as far as the integer gets, the higher its absolute value gets. So, put higher in the blank.

bigger it's absolute value since absolute value is how far it is away from zero. Hope this helps.

Are θ = πn and θ= π+ πn equivalent?

Answers

Of course, they are not equivalent.

One has an extra π in the equation.

josie has $47 left on her checking account.If she writes a check for $55 ,what will josies balance be?

Answers

She had 47$.
She then writes a check for $55 and give it away.
47-55=-8.
Her balance will be $-8
The balance would be 8

What's the equation
8p-3=13

Answers

The answer is p=2. Because when you solve 8p-3=13, you add 3 to both sides so you would end up with: 8p=16. Then you would divide by 8 and get 2. 
Collect like terms.
-3 will go over the equality sign to become +3
So that will be;
8p=13+3
8p=16
Divide both sides by 8
P=16/8
P=2
Hope I helped. Good luck

Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container How many biscuits does Trevor put in the container? help me please






Answers

Trevor puts, 32 biscuits in to the container. 

If Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container.

Total number of biscuits = Number of batches × Biscuit in each batch

Total number of biscuits = 8 × 14

Total number of biscuits = 112

Number of biscuits sets aside,

Total number of biscuits sets aside = Number of batches × Biscuit in each batch

Total number of biscuits sets aside = 4 × 8

Total number of biscuits sets aside = 32

The number of biscuits Trevor put in the container is,

=112 - 32

=80

Thus, if Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.

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Caroline has 4 green cards, 3 red cars, 3 orange cards, and 1 gold card. if she discards the gold card, what percent of her remaining cards are red?

Answers

3 reds in the 10 remaining cards
so that is 30% are red
Final answer:

After discarding the gold card, Caroline has 10 cards left. Since 3 of these are red, the percentage of red cards is 30%.

Explanation:

To find the percent of the remaining cards that are red after Caroline discards the gold card, we must first determine the total number of cards left. Caroline initially has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card, totalling to 11 cards. If she discards the gold card, she is left with 10 cards.

Now, since there are 3 red cards out of the 10 remaining cards, to find the percentage of red cards, we perform the following calculation:

Divide the number of red cards by the total number of remaining cards: 3 red cards / 10 remaining cards = 0.3.Convert the decimal to a percentage by multiplying by 100: 0.3 \(\times\) 100 = 30%.

Therefore, 30% of Caroline's remaining cards are red.

7/9 has how many 1/3's in it? How do you solve this ? Thanks

Answers

Final answer:

To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.

Explanation:

To solve this problem, we need to divide 7/9 by 1/3.

Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.

So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.

We can also simplify this fraction to the lowest terms, which is 7/3.


A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.

Answers

its c hopes this helps

13.5 oz. should be the answer

what number 4 times as many as 25 times?
A)100
B)125
C)21
D)29

Answers

letter a because 4x25=100
hope this helps!!
A)100 because 25x4=100

Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.

An equation is

It will take _ hours to reach −1°F.

Answers

Final answer:

To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.

Explanation:

To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.

The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.

To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.

So, it will take 9 hours to reach -1°F starting from 1:00 p.m.

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A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.

Answers

Final answer:

The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.

Explanation:

This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.

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