Find the equation of a line parallel to y = 12 that contains the point (3, 2).

Answers

Answer 1

Answer:

y = 2

Step-by-step explanation:

Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:

y = mx + b

Where...

m: slope

b: y-intercept (the y-value at where the line intercepts the y-axis)

(x, y): any coordinate on the line

This line has a slope of 0 and a y-intercept of 12, therefore its equation is:

y = 0x + 12.

Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:

y = 0x + b

We need to find b, or the y-intercept.

Let's substitute the point given to us into the equation.

Solve for the y-intercept

y = 0x + b

2 = 0(3) + b

2 = 0 + b

b = 2

Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.


Related Questions

Solve for a
|6a + 3|
3
> 2

Answers

Answer:a> [tex]-\frac{7}{18}[/tex]

Step-by-step explanation:

(6a+3)3>2

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

[tex]6a+3 > \frac{2}{3}[/tex]

Subtract 3 from both sides.

[tex]6a > \frac{2}{3} -3[/tex]

Convert 3 to fraction  [tex]\frac{9}{3}[/tex]

[tex]6a > \frac{2}{3} -\frac{9}{3}[/tex]

Since  [tex]\frac{2}{3} \frac{9}{3}[/tex]have the same denominator, subtract them by subtracting their numerators.

[tex]6a > \frac{2-9}{3}[/tex]

Subtract 9 from 2 to get −7.

[tex]6a > -\frac{7}{3}[/tex]

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

[tex]a > \frac{-\frac{7}{3} }{6}[/tex]

Express  [tex]a > -\frac{7}{3\frac{6}{1} }[/tex]   and 6/1=6  as a single fraction.

[tex]a > \frac{-7}{3*6}[/tex]

Multiply 3 and 6 to get 18.

[tex]a > \frac{-7}{18}[/tex]

Fraction    [tex]\frac{-7}{18}[/tex]   can be rewritten as

[tex]-\frac{7}{18}[/tex]

 by extracting the negative sign.

[tex]a > -\frac{7}{18}[/tex]

[2.1 + (8 - 4) - 1.25] = ?

Answers

Answer:

4.85

Step-by-step explanation:

Answer:

4.85

Step-by-step explanation:

[2.1 + 4 - 1.25]

= (6.1 - 1.25)

=4.85

Solve the inequality. Choose the number line that represents the inequality.
n+5<7

Answers

Answer:

3

Step-by-step explanation:

3+5 =8>7

Answer:

N<2

Step-by-step explanation:

Converse statement. If this month is February then the next month is march

Answers

Answer:

If the month is march then the next month is February

Step-by-step explanation:

hi loves is this correct?

Solve for X.

X^2 - 2x + 1 = 0

X= 1?

Answers

Answer:

yes x=1

Step-by-step explanation:

x[tex]x^{2} -2x+1=0\\(x-1)^{2}=0 x-1=0 \\x=1[/tex]

There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?​

Answers

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

7th grade math help me please :))

Answers

Answer:

no because the absolute value of -7 is 7 which is greater than the absolute value of 6 which is 6.

Jacob says that the product of a rational number and an irrational number is sometimes
rational and sometimes irrational. Which statement correctly describes whether Jacob is
correct or incorrect?

Answers

We need to know about rational and irrational numbers to solve the problem. Jacob is incorrect because the product of a rational and irrational number is always irrational.

Rational numbers are numbers that can be represented as p/q , p and q are integers where q is not equal to zero. Irrational numbers are real numbers that are not rational numbers, that cannot be represented as a division of two integers. When a rational and irrational number is multiplied, it always gives an irrational number. Let me use an example to explain this

2 is a rational number and [tex]\sqrt{2}[/tex] is an irrational number, the product of these two numbers is [tex]2\sqrt{2}[/tex] which is an irrational number.

Therefore we see that Jacob was wrong because the product of a rational and an irrational is always irrational.

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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.

The graph represents which system of inequalities?

y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4

Answers

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

Can someone help me out?

Answers

Answer:

16

Step-by-step explanation:

please mark me brainliest and 5 star

Answer:

16

Step-by-step explanation:

You add all the sides together hope it helps pls mark brainliest

4(x-1)-2(3x+5) =-3+1

Answers

Answer:

x= -8

Step-by-step explanation:

4(x-1)-2(3x+5)=-3+1

4x-4-6x-10=2

-2x-14=2

-2x=16

x= -8

Why is a scale factor of 2 the same as 200%?

Answers

Answer:

the action of deposing someone, especially a monarch.

Step-by-step explanation:

its due soon help ill give brainliest
The price of a pair of headphones at Store A is 3/4 the price at Store B.
The price at Store A is $89.25. Find how much you save by buying the headphones at Store A
a. 119
b. 72
c. 29.75

Answers

The answer is C, 29.75

Answer:

alt answer to give ya brainliest nxsdsvfkbjnvbc

Step-by-step explanation:

cnrgnsdmx

Given right triangle ABC with altitude BD drawn to hypotenuse ACAC. If AD=4AD=4 and DC=9 ,DC=9, what is the length of BD?
(Note: the figure is not drawn to scale.) Please help ASAP will award 100 points

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Can someone help me with this question?

Answers

a) The average rate of change of annual sales between 2017 and 2018 is 1.08%

b) The average rate of change of annual sales between 2017 and 2020 is -3.27%

Calculating average rate of change

From the question, we are to determine the average rate of change of annual sales

a) Between 2017 and 2018

Sale in 2017 = 367

Sale in 2018 = 371

The change in sales between the years = 371 - 367

Change in sales between the years = 4

Thus,

Average rate of change = 4/367 × 100%

Average rate of change = 1.09%

Hence, the average rate of change of annual sales between 2017 and 2018 is 1.08%

b) Between 2017 and 2020

Sale in 2017 = 367

Sale in 2020 = 355

Change in sales between the years = 355 - 367

Change in sales between the years = -12

Thus,

Average rate of change = -12/367 × 100%

Average rate of change = -3.27%

Hence, the average rate of change between 2017 and 2020 is -3.27%

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Miranda bought a brand-new cell phone. She noticed that the battery
consumes a rate of 5% per half an hour. Determine a function model that
represents the amount of battery left after a period of time.

Answers

The function model that represents the amount of battery left after a period  of time is y = 1 ₋ 10%x

Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.

We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.

Let y represent the amount of battery left.

and x represent the number of hours.

Then 5% per half an hour = 5% × 2 = 10%

Now frame the function model:

The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)

⇒ y = 1 ₋ 10%(x)

y = 1 ₋ 10%x

As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x

Learn more about Function models here:

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Use the figure and follow the directions below.

Answers

f is the vertex of 1

A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.

Answers

Answer: y=-3/4x+2

Step-by-step explanation:

y=mx+b

y=-3/4x+b

-4=-3/4(8) +b

-4=-6+b

b=2

y=-3/4x+b

y=-3/4x+2

y is directly proportional to the square of x.
When y= 24, x= 2.
Find the value of y when x=4.​

Answers

Answer:

y= 48

Step-by-step explanation:

X was doubled so i believe this is correct

Have a great day!!!

Como puedo calcular tasa de crecimiento?

Answers

Answer:

Si quiere decir en un gráfico, busque cuántas unidades se eleva la coordenada y, a continuación, se ejecuta (izquierda o derecha).

Si algo no suena lo siento mi español es malo. ;--;

During a bake sale, dozen cookies were sold in hour. What is the unit rate for the dozens of cookies sold per hour?

Answers

Answer:

12:1

Step-by-step explanation:

Answer:

12:1

Step-by-step explanation:

Because 12 is the amount of cookies to the ratio of hours which is 1 therfore 12:1

Wait so the sum of interior angles

Answers

Answer:   1260

====================================================

Work Shown:

n = number of sides = 9

S = sum of the interior angles of any polygon with n sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

What is the equation of the line in slope-intercept form? y = _ x + _

Answers

Y=4/3x + 4 is the answer

3. 32-(5.23) I need answers quick

Answers

Answer:

[tex] \sf \large \: - 31[/tex]

Step-by-step explanation:

3²−5(2³)

=9−5(2³)

=9−(5)(8)

=9−40

=−31

During a 7-year period, the amounts (in millions of dollars) spent each year on buying new vehicles N and used vehicles U by United States residents are modeled by the equations

N=−0.028t3+0.06t2+0.1t+17
U=−0.38t2+1.5t+42

where t=1 represents the first year in the 7-year period.

a. Write a polynomial that represents the total amount spent each year on buying new and used vehicles in the 7-year period.

b. How much is spent on buying new and used vehicles in the fifth year?

$ ???

Answers

Using addition of polynomials, it is found that:

a) The total amount is: T(t) = -0.028t³ - 0.32t² + 1.6t + 59.

b) $55.5 million was spent on buying new and used vehicles in the fifth year.

How do we add polynomials?

To add polynomials, we have to combine the like terms, that is, the terms that have t elevated to the same power.

For this problem, the functions are given as follows:

N(t) = -0.028t³ + 0.06t² + 0.1t + 17.U(t) = -0.38t² + 1.5t + 42.

Hence the total amount is:

T(t) = N(t) + U(t)

T(t) = -0.028t³ + 0.06t² + 0.1t + 17 - 0.38t² + 1.5t + 42.

T(t) = -0.028t³ + (0.06 - 0.38)t² + (0.1 + 1.5)t + 17 + 42.

T(t) = -0.028t³ - 0.32t² + 1.6t + 59.

For the 5th year, the amount is given by:

T(5) = -0.028(5)³ - 0.32(5)² + 1.6(5) + 59 = 55.5.

$55.5 million was spent on buying new and used vehicles in the fifth year.

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The mean June midday temperature in Desertville is 36C and the standard deviation is 3C.Assuming this data is normally distributed, how many days in June would you expect the middaytemperature to be between 39C and 42C

Answers

Answer:

4

Step-by-step explanation:

Given that:

Mean temperature (m) = 36°C

Standard deviation (s) = 3°C

Temperature between 39°C and 42°C

Temperature < 39°

Probability of temperature < 39

P(x < 39)

The standardized score (Z) :

Z = (x - m) / s

Z = (39 - 36) / 3 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Temperature < 42°

Probability of temperature < 42°

P(x < 42)

The standardized score (Z) :

Z = (x - m) / s

Z = (42 - 36) / 3 = 2

p(Z < 2) = 0.97725 ( Z probability calculator)

p(Z < 2) - p(Z < 1) = 0.97725 - 0.84134 = 0.13591

Hence, number of days in June = 30

Expected number of days = 30 * 0.13591 = 4.0773 = 4 (nearest whole number)

Julia the cat wants to climb a tree that is 73 ft high. Every day she climbs 11 feet, but then during the night she comes back down 7 feet. Assuming that Julia does not fall, how long will it take her to reach the top of the tree?

Answers

Answer:

17 days

======================

Progress per day and night is:

11 - 7 = 4 ft

Number of days to climb the tree less 11 ft:

(73 - 11)/4 = 62/4 = 15.5 = 16 as whole number

Julia climbed in 16 days/nights:

16 * 4 = 64 ft

One more day is required after this:

16 + 1 = 17 days

Please please help me!!
solve the system of equations by the substitution method.
{ 4x - 5y = 19
{ y = x - 4

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is __ (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.

Answers

Answer:

A. The solution is (1, -3)

Step-by-step explanation:

4x - 5y = 19

y = x - 4

Since the second equation already has y isolated, you can just plug that into the first equation:

4x - 5(x - 4) = 19

4x - 5x + 20 = 19

-x = -1

x = 1

Take your x value from the previous equation answer and plug that into the second equation:

y = (1) - 4

y = -3

Final solution:

(1, -3)

If you really want to know if you're correct, just do a LS/RS check for both equations:

4(1) - 5(-3) = 19

19 = 19

LS = RS

-3 = 1 - 4

-3 = -3

LS = RS

Answer:

A : 1,-3

so you substitute y= x-4 into 5y to make the equation look like 4x-5(x-4)=19 then you do -5 times (x-4) which should get you -5x and 20 so now the equation looks like this 4x-5x + 20 =19 then you combine like terms like 4x-5x which should get you -1x after you do that you subtract 20 from both sides of the equation and that should also get you -1 After you do all of that you divide by 1 on both sides and them you get your x term which is x= 1 now you can plug that into this equation y=x-4 now that equation will be y=1-4 and that is y=-3 so your answer is 1,-3

IF YOU DONT WANT TO DO ALL OF THAT BY HAND YOU CAN ALWAYS PLUG THAT EQUATION INTO DESMOS GRAPHING CALCULATOR AND YOU JUST HAVE TO FIND THE POINT WHERE THE LINE INTERSECTS

Solve the system
4x+5x= -27
x+9y= 1​

Answers

Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

Write the equation of the circle with center of 10-2 and a radius of 7

Answers

Answer:

(x-10)^2 + (y-2)^2 = 49

Step-by-step explanation:

I'm assuming that 10-2 means (10,2)

Equation of circle:

(x-a)^2 + (y-b)^2 = r^2

Plugging in the values that we know:

(x-10)^2 + (y-2)^2 = 7^2

(x-10)^2 + (y-2)^2 = 49

Hope this helps!

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