the line parallel to x-3y=-12 that passes through (-3,4)

Answers

Answer 1

x-3y=12
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5

Answer 2

The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.

What is the standard equation of a line?

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line function equation is

x - 3y = -12

y = (1/3)x +4

When a line is parallel to another line, the slope of the lines is same.

So, the slope of the line parallel to the line x - 3y = -12 is 1/3

y = (1/3)x +c

As the line passes through the point (-3,4)

4 = (1/3) * (-3) +c

4 = -1 +c

c = 5

The equation is

y=x/3+5

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Related Questions

24x^2 + 25x - 47 = (-8x - 3)(ax-2) - 53

Answers

a must equal -3.

Just looking at the first term of the left hand side of the equation, it must equal 24x². The only time x terms are being multiplied to form an x² on the right hand side of the equation is in the first two parenthesis. Therefore, -8 times a must be equal to 24, and from this you can get a= -3.

Jane has 7 tealight candles Aisha has 5 times more candles than Jane how many candles does Aisha have?

Answers

7 x 5 = 35 candles

You would multiply Jane's 7 candlesticks by 5 because "times more" means to multiply.

Final answer:

It's a basic multiplication problem. Simply multiply the number of candles Jane has (7), by 5, which equals 35. So, Aisha has 35 candles.

Explanation:

The problem presented is a multiplication problem. We're told that Aisha has 5 times more tealight candles than Jane.

by calculating how many candles does Aisha have,

To find out how many candles Aisha has, we can multiply the number of candles Jane has (which is 7) by 5. So, the calculation will be as follows: 7 (candles) * 5 = 35 candles. by using basic multiplication i.e. 7*5 = 35.

Therefore, Aisha has 35 candles.

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Which number is not in scientific notation? 1.10 ⋅ 103 4.0 ⋅ 1016 7.03 ⋅ 10−2 350 ⋅ 102

Answers

All of them except 10^2. This because scientific notation are number written to the power of ten. e.g Instead of writing 1000 you can write 10^3.

the question is in the picture below

Answers

A change in x of 2 from one row to the next gives a change in y of 6. For example, changing x from -3 to -1 gives a change in y from -8 to -2. Then the slope is

... slope = ∆y/∆x = 6/2 = 3 . . . . . the coefficient of x

Now, you can pick any row of the table to determine what the intercept value must be. For example, choosing x = 1, we have

... 4 = 3×1 + intercept

... 1 = intercept . . . . . . . subtract 3 from both sides of the equation

Now, you know your equation is

... y = 3x + 1

_____

Since this is a linear equation, the y-intercept at x=0 will be halfway betweeen the value of y at x=-1 and the value of y at x=1. That is (-2+4)/2 = 1, in agreement with our calculation above.

How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)

Answers

1 ton=2000lbs

2000
x
3
-6000 1/4 of 2000= 500 6000
+
500
________________
6500Lbs

Answer:

The correct answer is C ( 5500 )

Step-by-step explanation:

I pressed that on my test it was correct and the only options were

(A) 4075 ^_______________ \

(B) 5000 /

(D) 5575

THAT IS THE CORRECT ANSWER

Pre-Cal Help!! (Image Attached)

Answers

To solve this type of questions, a practical way is to think of the 1.quadrant situation, that is, model the situation in right triangle trigonometry.

Check the picture.

For the moment let [tex]\displaystyle{ \cos\theta= \frac{8}{17} [/tex] (we make it positive since we are modeling using a triangle.)

Using the Pythagorean theorem, the length of the side opposite to angle [tex]\theta[/tex] is found to be 15 units.

We can see that the sine of theta is [tex]\displaystyle{ \sin\theta= \frac{opposite \ side}{hypotenuse}= \frac{15}{17} [/tex].

In the third quadrant, both sine and cosine of an angle are negative, so the actual values of the sine and cosine of theta are, eventually:

[tex]\displaystyle{ \sin\theta=- \frac{15}{17} [/tex], [tex]\displaystyle{ \cos\theta=- \frac{8}{17} [/tex].

Recall the double-angle identities (formulas):

[tex]\sin 2\theta=2\sin\theta\cos\theta[/tex], [tex]\cos2\theta=cos^2(\theta)-sin^2(\theta)[/tex].

Using these identities and the ratios found above, we have:

[tex]\displaystyle{ \cos2\theta=cos^2(\theta)-sin^2(\theta)=(- \frac{8}{17})^2-(- \frac{15}{17})^2=\frac{64}{289}-\frac{225}{289}=\frac{-161}{289}[/tex]

Similarly, applying the double angle formula for the sine we have:

[tex]\displaystyle{ \sin 2\theta=2\sin\theta\cos\theta=2\cdot(- \frac{8}{17})(- \frac{15}{17})=\frac{240}{289}[/tex]

[tex]\displaystyle{ \tan2\theta= \frac{\sin 2\theta}{\cos 2\theta}= \frac{\frac{240}{289}}{\frac{-161}{289}}= -\frac{240}{161} [/tex]

Answer:

[tex]\displaystyle{\cos2\theta=\frac{-161}{289}[/tex]

[tex]\displaystyle{ \tan2\theta= -\frac{240}{161}[/tex]

I need to know how to write this as a decimal with all the steps and everything plzz

Answers

You divide the denominator into the numerator and that will get your answer which is 7.

There are 15 puppies in a photograph, and 11 of them have their eyes open. How many puppies have their eyes closed?

11 – c = 15

c – 11 = 15

15 + c = 11

11 + c = 15

Answers

The puppies have their eyes closed, 11 + c = 15.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Total puppies= 15

Puppies who opened their eyes = 11

let the number of puppies who have not open-end their eyes be c.

so, puppies have their eyes closed

c= 15 - 11

or, 11 + c = 15

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Order the numbers from least to greatest. 2.1,−6/10,−9/4,−0.75, 5/3

Answers

-0.75, -6/10, -9/4, 5/3, 2.1

Hello! Here are the numbers from least to greatest:

-9/4, -0.75, -6/10, 5/3, 2.1

This is because -9/4 is equivalent to -2 1/4, which is less than all of the other numbers. -6/10 (-0.6) is greater than -0.75. 5/3 is less than 2, so it is not greater than 2.1.

What comes next simplify 31/50,17/25,37/50,4/5,...

Answers

43/50

31/50=0,62

17/25=0,68(0,06 more)

37/50=0,74(0,06 more)

4/5=0,8(0,06 more)

43/50=0,86(0,06 more)

Next decimal should be 0,86

You need to find a fraction from the decimal 0,86

0,86=86/100=43/50

if fifty cents is divided equally among three friends there will be some cents left how many cents will be left

Answers

Greetings!

This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)

50/3=16.6667

We have to round down in order to get a whole number: 16

16*3=48
50-48=2

If 50 cents is divided equally among three friends, each would get 16 cents and there would be 2 cents left over.

Hope this helps.
-Benjamin

what property allows you to conclude that 5x+7x=12x

Answers

Since both of the numbers have a variable which is x ready to be multiplied, there is no expression leading to the variable therefore you will add normally but you will need to put the missing variable which needs to be multiplied. So overall you can just add and once you get your variable you can be abe to multiply and get your final answer.

Hope this helps

Simplify 4x^2+36/4x multiply 1/5x

Answers

20x^2+9
------------
5

Your simplified answer would be

29x^2 / 5

What percent of 300 is 0.6

Answers

The correct answer would be 1.8.

Keep in mind that "percent" means "for each 100." What the question is asking is: "If I have a certain amount for each of the hundreds in 300, what amount do I need for that total to be 0.6?"

Some things to ask yourself:
- How many hundreds are in 300?
- What do I need to multiply that number by to get 0.6?

A rectangular swimming pool has a volume of 2160 cubic feet. Water is being added to pool at a rate of about 20 cubic feet per minute. Use an equation in point-slope form to determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool. Use the fact that 1 cubic foot of space holds about 7.5 gallons of water.

Answers

1200÷7.5= 160
-> there is already 160 cubic ft. of water
y=20x+160
-> this is the equation
2160=20x+160
2000=20x
100=x
you need 100 cubic ft. more to finish filling the pool

Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1

Answers

= 18x^2 - 12x - 3x + 2

= 6x(3x - 2) - 1(3x - 2)

= (6x - 1)(3x - 2)

The answer is a) 3x - 2

The expression (3x - 2) is a factor of the given expression 18x² - 12x - 3x + 2. The correct answer would be an option (A).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

18x² - 12x - 3x + 2

We have to determine the factor of the given expression.

As per the question, we have

18x² - 12x - 3x + 2

Factor out the above expression, and we get

6x(3x - 2) - 1(3x - 2)

(6x - 1)(3x - 2)

Thus, the expression (3x - 2) is a factor of the given expression.

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If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king

Answers

how many cards are in a deck??
52

Now subtract the
13spades + 3 kings = 16

what is left
36 left

want 36
_____ ---------
total 52

answer: 36/52

Final answer:

The probability that a card randomly drawn from a well-shuffled 52-card deck is not a spade or a king is approximately 0.846 or 44 out of 52.

Explanation:

In a well-shuffled deck of 52 cards, there are four spades and four kings. Therefore, there are 4 + 4 = 8 cards that could be a spade or a king. The probability that a randomly chosen card is a spade or king can be calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability is 8/52 or approximately 0.154.

However, the question asks for the probability that the card is not a spade or king. To find this, we calculate 1 minus the probability of drawing a spade or king. Therefore, the probability that a card randomly drawn from a well shuffle deck is not a spade or a king is 1 - 0.154 = 0.846 or 44/52.

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A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 feet?

Answers

The height attained by an objects thrown from ground level is given by the equation:

[tex]v^2=u^2-2gs[/tex]

At maximum height, v = 0, we assume [tex]g = 32 ft/s^2[/tex] then we have:

[tex]0=u^2-2(32)(49)\\ \\u^2=3,136\\ \\ u= \sqrt{3,136} =56[/tex]

Therefore, the minimum speed that the stone should be thrown so as to reach a height of 49 feet is 56 feet per second.

42 students and 6 faculty members at Byrd Middle school chose to retake their school pics .these #'s represent 1/12 of the students and 1/6 of the fuculty .what is the combined # of students and faculty members

Answers

faculty (not fuculty) ;)

Let s = # of students and f = # of faculty. We want to find s + f.

(1/12)s = 42. Mult. both sides by 12, we get s = 504.

(1/6)f = 6. Mult. both sides by 6, we get f = 36.

Then the total # of faculty and students combined is 504+36 = 540 (ans.)

The amount or money you earn at your job varies directly with the number of hours you work. How many hours will you need to work to earn $145 if you earn $21.75 for 3 hours?

Answers

Well what you have to do is find out how much money u get per hour which would be 21.75/3 which would give u 7.25 so then you need to do 145/7.25 your answer is 20

If money you earn at your job varies directly with the number of hours you work. Then 20 hours will you need to work to earn $145 if you earn $21.75 for 3 hours

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Amount or money you earn at your job varies directly with the number of hours you work

One can earn $21.75 for 3 hours

We need to find how many hours taken to earn $145.

To find this we form an equation.

Let x be the number of hours to earn 145

21.75/3=145/x

Apply cross multiplication

21.75x=3×145

21.75x=435

Divide both sides by 21.75

x=20

Hence, it took 20 hours to earn $145.

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what is the product (8 x 10^2) x (2.5 x 10^2)
a.2 x 10^2
b.2 x 10^3
c.2 x 10^4
d.2 x 10^5

Answers

Answer:

D) 2*10^5

Step-by-step explanation:

Write each number in standard form

9.03 x 10²

7.89 x 10³

4.115 x 10⁵

Answers

9.03 x 100
7.89x1000
4.115x100000

Nina wants to download games for her video game console. Older games cost $500 points and new releases cost 2000 points. Nina has 20,000 points to use. The equation 500a+2000b=20,000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads one new game? Four games?

Answers

36 and 24
(20000-2000)/500=36
(20000-8000)/500=24

A number is42,300 when you multiplied by 10. Find the product of this number and 500

Answers

your number is 4240 and the product of this and 500 is 4740

the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value

Answers

The distance from -2.78 to 2.78 on a number line would equal 5.56!

What is 69,000 rounded to the nearest hundred

Answers

The answer would still be 69,000

Hope this Helps

Salutations!

What is 69,000 rounded to the nearest hundred?

To round to the nearest hundred, you need to know whether the number next to hundred's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.

69,000 → The number 0 is in the hundred's place. Zero has no value so thus you will be rounding down.

69,000 ≈ 69,000.

Hope I helped (:
Have a great day!

Ninety-one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach link correct?

Answers

No, he's incorrect, because 91 students can be in 7 groups of 13 or 13 groups of 7.

Answer: he is not right

7 + 5r + 3 + 5 = 1 + 7r

Answers

7+5r+3+5=1+7r
15+5r=1+7r
-5r=-5r
15=1+2r
-1=-1
14=2r
7=r

7+5r+3+5=1+ 7r
15+5r=1+7r
14=2r
r=7

Triangle QRS is to be dilated using the rule Dp3/4 what will be the distance from the center of dilation p to the image of us

Answers

if anyone sees this the answer is C. 6 units just took the test and got it right

Answer:

6units

Step-by-step explanation:

Translate the expression into a word phrase. k + 12 A. a number less than 12 B. 12 more than a number C. the product of a number and 12 D. the quotient of a number and 12 im sucky ;-;

Answers

the answer is b) 12 more than a number

when you use the word "more than" it means addition. when you use the word "less than" it means subtraction. when you use the word "product of" it means multiplication. when you use "quotient of" it mean division.

hope that helps, God bless!

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Read this excerpt from "Everyday Use".Have You ever seen a lame animal, perhaps a dog run over by some careless person rich enough to own a car, sidle up to someone who is ignorant enough to be kind to him? This is the way my Maggie walks.What can the reader infer about Maggie's Character from the way the narrator describes her?A) That she walks with a horrible limpB) That she is shy and not very confidentC) That she is deathly afraid of dogsD) That she is wealthy and owns a car what is the value of the 2 in 54.625 What are the dimensions of the rectangle of greatest area that can be formed with 200 feet of fence? How much pasta will each person get if 6 people share 2/3 lb of pasta equally? The Australian ballot is another name for a _______.Select the Republican Presidents. Select all that apply. Ella and Margaret were at a carnival. They each got a ticket to the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket is $5. And a snow cone is $3.50. What was the cost of the cotton candy? A.$5.00 B.$5.25 C.$2.50 D.$7.25 Wich quote is attributed to Chief Joseph why would the size of a star affect its luminosity In 1917, congress voted to go to war against the? To which person of group did the framers of the Constitution grant legislative power? the Supreme Court Congress state governments the President A 39-year-old woman was the victim of a violent assault 1 year ago and, in the ensuing period, has developed the symptoms of posttraumatic stress disorder (ptsd). additionally, she has become heavily dependent on alcohol and required multiple visits to the emergency department for alcohol poisoning. what category of dual diagnosis does this client exhibit? What human rights were infringed upon oscar pistorius? Assessment: Introductory Paragraph & ThesisWrite an opening paragraph for an essay, including thesis statement, answering this prompt:Some historians have argued that the settlement of the English colonies was undertaken in a haphazard manner, with little regard to the geography, climate, peoples, or practical demands of the New World. Support, modify, or refute this contention using specific evidence. Why do individuals use cost-benefit analyses? Stricter standards designed to increase the quality and safety of children's settings have the potential to push some children into settings that are less safe because: Discuss disparities related to ethnic and cultural groups relative to low birth weight infants and preterm births. describe the impact of extremely low birth weight babies on the family and on the community (short-term and long-term, including economic considerations, on-going care considerations, and co-morbidities associated with prematurity). identify at least one support service within your community for preterm infants and their family. provide the link for your colleagues to view. does the service adequately address needs of this population? explain your answer. Which of the following areas is the most inaccessible to humansA. Papua New Guinea B. MicronesiaC. Guam D. South pole he Progressive movement was sometimes misguided in its interaction with racial minorities becauseProgressive reformers the marching band is having a show to raise at least $1000 forntheir upcoming trip. Each adults is $6 and students $4. The auditorium has a maxium capacity of 200 people. a circle with a 12 in diameter is folded in half and folded again whats the area of the resulting shapePLEASE HELP!!!!!!1 Steam Workshop Downloader