write the equation of the line that is parallel to y=4x+12 through the point (2,3).​

Answers

Answer 1

Answer:

y = 4x - 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 = 4x + 12 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line


Related Questions

Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2

Answers

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

[tex]an = \frac{an - 1}{4} - 2[/tex]

where,

n = number of terms

First term, a1 = 2

Second term, a2

[tex]an = \frac{an - 1}{4} - 2[/tex]

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

https://brainly.com/question/6561461

Answer:

a1 = 2

a2 = -3/2

a3 = -19/8

Explanation:

a_n-1 means the last term.

So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2

It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8

Solve with elimination:
10a + 4b = 18
7a + 14 = b
solve for b

Answers

b=7a+14
Might help not sure if it’s correct
So first we want to plug in The equation for b

10a+4(7a+14)=18

(we use the distributive since we have 4 times of b)

when we solve it, we get a is -1

plug in -1 for a

7(-1)+14=7

b=7

plug it back in

10(-1)+4(7)=18

18=18

Hope this helps! :)

Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.​

Answers

Answer:

x > 14 ; x < 12

Step-by-step explanation:

Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14

Area < 138, so that means 3*(4x-2) < 138, so x < 12

james scored 30 out of 90 in a music test.he scored 48 out of 150 in drama test scored 35 out of 120 in an art test.in which test james score the highest​

Answers

Answer:

music test

Step-by-step explanation:

divide each one and find the highest answer.

decide whether the function is a polynomial function if it is write the function in standard form

f(x)=1/2x²-3x^4-7 ​

Answers

Answer:

yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7

Step-by-step explanation:

standard form is placing all terms in decreasing exponent order

Answer:

it is a polynomial because all of the exponents are non-negative

standard form f(x)=-3x^4+1/2^2-7

Step-by-step explanation:

Hope it helps

Have a nice day : )

What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?

Answers

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

The marked price of a tablet is €800. During a sale its sold at €640. This means one saves €160 during the sale
a) Find the percentage discount​

Answers

Answer:

c. $28.84

Step-by-step explanation:

C 28.84 just multiply 38.45 by .25 then you should get 9.6125 you subtract 38.45 by 9.6125 and get 28.84

168- blank gives 48 aim confused

Answers

Answer:

168 subtracted by 120 is going to equal 48

Step-by-step explanation:

if x=y+z transpose for z

Answers

Answer:

x = y + z

=> z = y - x

Step-by-step explanation:

Hope u understand

The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?

Answers

Answer:

$4,608.00

Step-by-step explanation:

Subtract 36% from 7,200 and you get 4,608.

Find a counterexample to the statement below

“All prime numbers are odd”

Answers

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.

Answers

Answer:

steps below

Step-by-step explanation:

h = 5t² + 8t + 3

5t² + 8t + (3-h) = 0

** ax²+bx+c=0       x= (-b±√b²-4ac)/2a

[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex]   ..... h≥3 to make t≥0

Bro these admin people!! Lol

Answers

Answer:

U should

No u must keep swearing on them lolllll

Step-by-step explanation:

Omg seems kokuladina freeze on fire with swear words.

Find the circumference of a circle with a radius of 2.4 m

Answers

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.

Answers

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

[tex]d =19\%[/tex]

The price (p) of the item is given as:

[tex]p = \$32[/tex]

So, the amount (A) paid before tax is calculated using:

[tex]A = p \times (1 - d)[/tex]

Substitute known values

[tex]A = \$32 \times (1 - 19\%)[/tex]

Express percentage as decimal

[tex]A = \$32 \times (1 - 0.19)[/tex]

Subtract 0.19 from 1

[tex]A = \$32 \times 0.81[/tex]

Multiply 32 and 0.81

[tex]A = \$25.92[/tex]

Hence, David will pay $25 and 92 cents for an item of $32, before tax

Read more about discounts at:

https://brainly.com/question/11538623

Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.

Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.

Answers

puzzle 1 and puzzle 3

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

Answers

Answer:

34 Model B gloves were sold

Step-by-step explanation:

Divide the fractions and reduce to lowest terms: 2/5÷3/12​

Answers

Answer:

8/5

Step-by-step explanation:

You can rewrite the equation to 2/5 * 12/3

Which is equal to 2/5*4

So 2 times 4 is 8

So the answer is 8/5

Hope this helps!

In the figure shown below find the value of a, round to the nearest tenth.

Answers

What Pic or Figure Lol

i need help with this!!

Answers

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%

Answers

The answer would be b, or 1.4%.

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.

The simple interest rate of the loan will be given as,

10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]

1,487.2 x 100 = 88r

r = (1487.2 / 88) x 100

r = 0.169 x 100

r = 16.9%

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

Pls answer me this (WILL MARK BRAINLIEST)

Answers

Answer:

a=3 b= -40

Step-by-step explanation:

.....

Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?

Answers

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

Learn more about the finance charges here:

brainly.com/question/808640

#SPJ2

How can you best describe the outside of one of these objects using polygons? The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

Answers

The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.

The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

We have to describe,

The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.

According to the question,

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.

A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.

The classification of a polygon is described on the basis of its number of sides and vertices.

For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.

A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.

However, a polygon is considered regular when each of its sides measures equal in length.

The lengths of each side of a regular hexagon are equal.

The angles of each side of a regular hexagon are equal.

Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.

For more details about Polygon refer to the link given below.

https://brainly.com/question/2416235

Answer:

6, hexagon, and regular

Step-by-step explanation:

The object has  6 sides, so it is a hexagon

It appears to be regular because the sides and angles appear to be congruent.

7/14 in its simplist form

Answers

Answer:

1/2

Step by step explanation:

Answer:

1/2

Step-by-step explanation:

ill give a braineist if answered... CORRECTLY

Answers

0.5x+0.3y>=3
sorry I don't know how to make the less
than or equal to sign
Step-by-step explanation:
he can buy X amount of gumballs if he
buys Y amount of jawbreakers and that will
be less than or equal to $3
to graph, you must plug the number O into
the X spot and solve.
0.5(0) +0.3y>=3
next plug in for Y
0.5x+0.3(0) >=3
plot these two points on the graph and
draw a line through them

Question is on the picture ​

Answers

Answer:

B. 30/65 and experimental

Step-by-step explanation:

30/65 is your answer

Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.

Answers

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Learn more about compounded interest here:

https://brainly.com/question/24274034

I neeeed the answer I’m mad confused

Answers

Answer:

KNOW PAIN FEEL PAIN ACCEPT PAIN

The selling price is $9,500

work:
50,000 • 0.19 = 9,500

how do I find the volume of this shape?​

Answers

Answer:

length times witdth times height

Other Questions
First to get it will get Brainly and 20 points. Good luck Many things that we use every day, like televisions, computers, refrigerators, and microwaves, require energy in order to work. We also rely on energy to make a car run and to heat water. All of the energy that we need to use must first be produced. Some sources of energy, such as gas and oil, can be harmful to the environment. Burning gas and oil can pollute the air. Also, gas and oil are limited, and we are using up the small amount that is left on the planet. This is why people should use alternative energy sources, which do not pollute the environment and are plentiful. Solar and wind energy are clean energy sources that should be used more often to reduce the pollution on Earth.Which text structure does the author use to organize the passage? A. classification B. definition C. problem and solution D. sequence Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip? The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run. Which word most contributes to the tone of this sentence? Just outside my sunny window, welcome birds sang in a lovely chorus that filled the woods with life and activity.A.WelcomeB. WindowC.OutsideD.Woods Given SV//TU and SVX=UTXProve: VUTS is a parallelogramWrite a paragraph proof.Thank you! :) Read the excerpt below and answer the question.He made her get upon the stool, and tied her hands to the hook. She now stood fair for his infernal purpose.Which word is closest in meaning to the word "infernal"?A. fieryB. wickedC. annoyingD. unpleasant Who is Abraham? William's friend William's parrot William's boss. What is the domain and range of this graph the brain itself acts as a filter that filters out which of the followingA. billions of commands that come via radio waves all around usB. billions of drops of acid rain that come through the atmosphereC. billions of molecules of gases that would harm usD. billions of bits of information that come through our senses Round 512.45 to the nearest ones place. Please answer this ASAPSolve for y. 30y=20y+60A: y= -6B: y= 6C: y= 1.2D: y= -1.2 The __________ included freedom of speech, freedom of press, and freedom of assembly.A.Bill of RightsB.colonial chartersC.Northwest OrdinancesD.Articles of Confederation three movie tickets cost 36$ at this same rate how much do 12 tickets cost The concept of ________ refers to a shared way of life, and the term ________ refers to a political entity. Who was chosen as the main writer of the Declaration of Independence? (2 points) What is 1 1/2 divided by 8 The base of a pyramid has n sides.Write an expression for the number of vertices of the pyramid. in the nightmare before christmas what is jack not surprised to find under the children's beds Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not includingsales tax)