Mathematics High School

A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

A Line Is Parallel To Y = 3x - 12 Andintersects The Point (1, -2). What Is Theequation Of This Parallel

Answers

Answer 1

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

Related Questions

What is an equation of the line that passes through the points (0, 3) and (5,-3)?
Put your answer in fully reduced form.

Answers

Answer:

The equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

Step-by-step explanation:

From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:

[tex]y = m\cdot x + b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

If we know that [tex](x_{1},y_{1}) = (0,3)[/tex] and [tex](x_{2},y_{2})=(5,-3)[/tex], the following system of linear equations is constructed:

[tex]b = 3[/tex] (Eq. 2)

[tex]5\cdot m + b = -3[/tex] (Eq. 3)

The solution of the system is: [tex]b = 3[/tex], [tex]m = -\frac{6}{5}[/tex]. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is [tex]y = -\frac{6}{5}\cdot x +3[/tex].

An initial investment of $500 is made in an account which earns 6% interest compounded
semiannually. Which of these equations gives the value of the investment after t years?​

Answers

Answer:

A = 500(1+6%/2)^2t

Step-by-step explanation:

Given the general compound interest formula A = P(1+r/n)^nt. With an initial investment of $500, and percent interest of 6% compounded semi annually(every six months/half a year/twice in one year). A = 500(1+6%/2)^2t .

i.e if given two years of compound interest, t=2. A = 500(1+6%/2)^2(2), 500(1+0.03)^4, 500(1.03)^4, 500(1.12550881), 500(≈1.1255) = 562.75

A = 562.75$ for two years

if an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference.​

Answers

Answer:

               [tex]\bold{d=\dfrac{13}4=3\dfrac14}[/tex]

Step-by-step explanation:

[tex]a_{10}\,,\ _{\{+d\}}\ \ a_{11}\,,\ _{\{+d\}}\ \ a_{12}\,,\ _{\{+d\}}\ \ a_{13}\,,\ _{\{+d\}}\ \ a_{14}\quad\implies\quad\ a_{14}-a_{10}=4d\\\\4d=a_{14}-a_{10}\\\\4d=30-17\\\\4d=13\\{}\ ^{\div4\quad\div4}\\d=\dfrac{13}4=3\dfrac14[/tex]

You want to cover the tables with pumpkin paper. Each table is 3 1⁄2 feet by 6 feet. There are 4 tables. How much pumpkin paper will you need?


Please help.

Answers

Answer:

25

Step-by-step explanation:

multiply 3 1/2 by 6

add the answer 4 times

I THINK

what is an equation of the line that passes through the point (5, -7) and has a slope of 0

Answers

Answer:

y= -7

Step-by-step explanation:

A line that has a slope of zero is a horizontal line

Horizontal lines are of the form

y=

The y coordinate is -7

y= -7

Do you like me
What is formula

Answers

Answer:

what?

Step-by-step explanation:

Answer:

I am cunfushion

Step-by-step explanation:

A trail mix has 16 cups of raisins, 3 cups of dates, 24 cups of peanuts, and 2 cups of cashews. Which
Ingredients are in the same ratlo as cashews to raisins?
The ratio that is the same is? to 2

Answers

Answer:

Step-by-step explanation:

The ratio for cashews to raisins is 2:16 and you can simplify that by 2 because they are factors of 2. When you simplify you get 1:8.

The ratio for dates to peanuts is 3:24 and you can simplify that by 3 since they are factors of 3. When you simplify by 3, you get 1:8 which is the same ratio for cashews to raisins.

Which of the following is a plural subjective pronoun?
A. I
B. it
C. we
D. them

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

Given A and B are vertical angles with m anglr A = 20x + 10 and m angle B =30x - 10 , what is X?

Answers

Answer: The answer is 2

Step-by-step explanation:

Given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

From the Vertical angle theorems, we have that

Two opposite vertical angles formed when two lines intersect each other are always equal to each other.

Now, from the question, we are given that A and B are vertical angles

That means

A = B

Also, from the question

measure of angle A = 20x + 10 and measure of angle B = 30x - 10

To determine the value of x, we will equate the two equations to each other  

A = 20x + 10

B = 30x - 10

Since, A = B

∴ 20x + 10 = 30x - 10

To solve for x,

First, add 10 to both sides

20x + 10 + 10 = 30x - 10 +10

We get

20x + 20 = 30x

Now, subtract 20x from both sides

20x - 20x + 20 = 30x - 20x

20 = 10x

That is,

10x = 20

∴ x = 20 ÷ 10

x = 2

Hence, given A and B are vertical angles with m ∠A = 20x + 10 and m ∠B =30x - 10, the value of x is 2

Learn more here: https://brainly.com/question/5719544

The y intercept of the line whose equation is 7x - 4y=8
7/4
8
-2

Answers

Answer:

y intercept is -2.

Step-by-step explanation:

Convert the equation to slope-intercept form, or in other words, isolate the y variable. You should get y=(7/4)x-2. the -2 is the y intercept.

Hope this helped!

PLEASE HELP ME!! URGENT!!WILL MARK BRAINLIEST

Answers

I think that’s it hope it helps

(HELP MEEE PLEASEE) What are the coordinates of point Q?
A) 0,2
B) 2,4
C) 4,1
D)4,2

Answers

The answer would be 4,2 100%

Answer:

B. (2,4)

Step-by-step explanation:

what is the answer for 6-7b+7bx3+b?

Answers

Answer:

=7bx3−6b+6

Step-by-step explanation:

6−7b+7bx3+b

=6+−7b+7bx3+b

=6+−7b+7bx3+b

=(7bx3)+(−7b+b)+(6)

=7bx3+−6b+6

Answer:43b

Step-by-step explanation:7+7 x3 +b = 43b

What is the equation of the line that passes through the point (-5, 1) and has a slope of-1/5​

Answers

Slope Intercept Form: y = mx + b

m = slope
b = y-intercept

y = -1/5 + 1

You get the y-int, 1, from the ordered pair (-5,1)

The 1 from

Answer: Y=1/5x-2

Step-by-step explanation:

Need help asap thank u

Answers

Answer:

<4 ~= <5 - Consecutive Interior Angles Theorem

<4 ~= <2 - Vertical Angles Theorem

<6 ~= <2 - Corresponding Angles Theorem

line I || line m - Transitive Property

Which measurement statement is correct 10 points

Answers

where are the statements

Part A: What is a statement in a two-column proof?

Answers

Answer:

the left column is the statement and Right column is the reason. The statement is the steps of how are you going to solve the problem

In geometry, two column proofs always have two columns- statements and reasons. In a two column proof you must have a reason for every statement

Find the fifth term of the sequence
3, 5, 9, 17, _

(If you need help: The rule of the following sequence is k = 2n +1 )

Answers

Answer:

33

Step-by-step explanation: the number added itself gets multiplied by two. so 3+2 then 5+4 then 9+8 then 17+16

MATH HELP PLESE HELP ME

Answers

Answer: 99°

A supplementary angle is equal to 180°
The 81+99=180

Answer:

x=99

z=28

Step-by-step explanation:

180-81=99

81+3=84

84/3=28

Part A: Solve for A
Part B: Determine m∠ABQ
Part C: Determine m∠BCR
If there is work please show if you can​

Answers

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

A balloon is measured at 45 feet above the ground. Two minutes later it is measured at 92 feet above the ground. By what percent has the height of the ballon changed?

Answers

So it was at 45%, and now it’s at 92%. So 92-45 equals 47, and so it changed by 47%. Hope this helps :)

question in the picture:)

Answers

Answer:

$1.25

Step-by-step explanation:

10/8=1.25

Answer: $1.25

Step-by-step explanation: When you divide 10 by 8 you get and answer of 1.25. Or $1.25

In a video game Nutcracker Sweet, a squirrel finds a nut. When he cracks that nut, 4 more nuts come out. When he cracks those 4 nuts, 4 more nuts come out of each. If this process continues, how many nuts will there be after 5 of these nut-cracking sessions? (Cracked nuts are counted as a nut.)

Answers

Answer and  explanation:

4294967296 nuts

Please find attached

Answer:

127 nuts

Step-by-step explanation:

there is no explenation here... the answer is 127 nuts

Gary has a strip of paper that is 1712 inches long. He will place a sticker on the paper every

114 inches.

How many stickers will Gary place on the strip of paper?

Answers

Answer:

15

Step-by-step explanation:

pls rate and thank me so i can get the points, thanks

Answer:

he can fit 15 stickers...............................

Step-by-step explanation:

-7x = 14
Determine whether the equations above has a one solution, no solution, or an infinite number of solution.

Answers

Answer:

x = 14/-7

x = -2

It has ONE SOLUTION

Solve the inequality, write the solution in interval notation. Then graph it on a number line.
I need help :

Answers

Answer:

z < 4 or z > -6

Step-by-step explanation:

5z < 20

z < 4

or

z > -6

z < 4 or z > -6

How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8

Answers

-3(n+6)+10=-8

Use distributive property:

-3n -18 +10 = -8

Combine like terms:

-3n -8 = -8

Add 8 to both sides:

-3n = 0

Divide both sides by -3:

n = 0

Answer:

n=0

Step-by-step explanation:

the high road in scotland is 180 miles longer than the low road. when Jocelyn goes to scotland and returns along the low road the round trip is 1060 miles. how many miles is the high road

a.350
b. 440
c. 530
d. 620

Answers

Answer:

the aswer is 620(d)

Step-by-step explanation:

what i did was subtract 180 from 1060 and got 880

then i divides that by 2 and got 440

once i did that i then added the 18o to the 440 and got 620

what is the reduced ratio of 24:96

Answers

Answer:

Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4

Your answer is: 1:4

Step-by-step explanation:

Hope this helped : )

Answer:

1:4 is your ans

Step-by-step explanation:

please mark as brainliest

A polygon is shown



If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates

Answers

Answer:

A will be at -3.3 B will be at -4.1 C will be at 6.1 D will be at 1.3 hope this helps

Other Questions
A bucket contains 5 green tennis balls, 7 yellow tennis balls, and 1 red tennisballs. Tony removes 2 tennis balls, without replacement, from the bucket.What is the probability that Tony removes 1 yellow, and then 1 green tennisballs?Write your answer as a fraction. Ex: 1/2 What is the interquartile range of this data?6789 A classmate claims that al. Mutations are harmful and can be passed on. Is that true Guys pls help me it's urgent Will make brainlist PLEASE HELP! Matrix elements this is the symbol for grain line a. - b.c. = d. You eat a large meal and then hike up a hill. What kind of energy transformation is your body performing?Group of answer choicesChemical energy to kinetic energy and gravitational potential energyChemical energy to kinetic energy and nuclear energyKinetic energy to chemical energy and light energyGravitational potential energy to sound energy and nuclear energy Nucleophilicity is a kinetic property. a higher nucleophilicity indicates that the nucleophile will easily donate its electrons to the electrophile and that the reaction will occur at the faster rate. the reaction rate also depends on the nature of the electrophile and solvent. rank the following reactions from fastest to slowest based on the nucleophilicity of the nucleophile. . In an experiment, 1.90 g of NH3 reacts with 4.96 g of O2. 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g) (i) Which is a limiting reactant? Show your working. (ii) How many grams of excess reactant remain? Show your working. (iii) How many grams of NO is formed? Show your working HELP PLZ WILL GIVE BRAINLYEST TO FIRST GOODD ANSWER The temperature dropped - 16.8 degrees over the course of 5 days. What wasthe average daily temperature change?Add an explanation to this if possible, What is the domain of this function?O {x|x>0}O {x|x PLEASE HELP WILL GIVE BRAILIST!!!b) Type one to two paragraphs that describe your models and relate them to the law ofconservation of mass. Your document should:i. identify the names of the reactants and products in the reaction.ii. identify the number of molecules that make up the reactants and products.iii. identify the type and number of atoms in each molecule of the reactants and products.iv. explain what happens during the chemical reaction.v. explain how mass is conserved during the chemical reaction Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar.How many dollars did Martin have saved before he bought the drone? BRAINLIEST FOR CORRECT ANSWER If you can answer this, you are smart. What is A+B? Please help meHave you ever sat high in the stadium at a baseball game and heard the sound of a ball being hit by a bat? Did you notice that you heard the sound after you saw the ball being hit?Explain why you think this happened. -5/8 + 8 3/8Options:7 3/48 3/43 3/88-1/4 . Where were city business and economic activities carried out in Mesopotamia? (4 points)at city hallin the town squarein the templesat the trading posts Which situation could be described by the following expression: 6(n+3) * Ming Jie is playing an online game. He earns 5 points when his arrow hits the red targets and loses 2 points when his arrow hits the blue targets After some arrows, he earned 65 points.(a) What is the least number of arrows he used to achieve 65 points? (b) To win the game, he cannot use more than 30 arrows to earn at least 80 points What is the most number of blue targets he can hit?