Write an equation for a line parallel to 4x – 2y = 4 that passes through the point (3,22)

Answers

Answer 1

Answer:

y = 2x + 16

Step-by-step explanation:

4x - 2y = 4

-2y = -4x + 4

y = -4/-2x + 4/-2

y = 2x - 2

Slope: 2

Point: (3,22)

y-intercept: 22 - (2)(3) = 22 - 6 = 16

Answer 2

Answer:

y=2x+16 or 2x-y=-16

Step-by-step explanation:

Hi there!

We are given the equation 4x-2y=4, and we want to write an equation for the line parallel to it, that also passes through (3, 22)

First, let's find the slope of the line, as parallel lines have the same slope.

In order to find the slope, we can convert the equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

Start by subtracting 4x from both sides:

-2y=-4x+4

Divide both sides by -2

y=2x-2

2 is in the place where x is, so the slope of the line is 2

It's also the slope of the line parallel to it.

Writing the equation in slope-intercept form, this is the equation so far:

y=2x+b

Now let's find b

Since the equation passes through the point (3,22), we can use it to help solve for b

Substitute 22 as y and 3 as x:

22=2(3)+b

Multiply

22=6+b

Subtract 6 from both sides

16=b

Substitute 16 as b in the equation.

y=2x+16

We can stop right here, but we can also re-convert it into standard form

To do that, subtract 2x from both sides:

-2x+y=16

There's a rule that the coefficient in front of x CANNOT be negative; in order to change the sign, multiply both sides of the equation by -1

2x-y=-16

Hope this helps!


Related Questions

Find the slope of the

Answers

Answer:

1/2

Step-by-step explanation:

Rise over Run

1 = rise

2 = run

Answer:

Step-by-step explanation:

A

please help 20 points lokijhgfdsawsedrftgyhujikjuhygtfrdeswa

Answers

Answer:

4 or -4

plz brainlist if right

Step-by-step explanation:


A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.30, how many dimes and how many
quarters does he have?

Answers

Answer:

8 dimes and 6 quarters

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

Work Shown:

d = number of dimes

q = number of quarters

d+q = 14 since this is his coin total; equation solves to d = 14-q

10d+25q = 230 which is the total value in cents

10(14-q)+25q = 230 .... apply substitution rule

140-10q+25q = 230

15q+140 = 230

15q = 230-140

15q = 90

q = 90/15

q = 6 = number of quarters

d = 14-q

d = 14-6

d = 8 = number of dimes

-----------------

Check:

8 dimes + 6 quarters = 14 coins

8 dimes = 8*10 = 80 cents

6 quarters = 6*25 = 150 cents

8 dimes + 6 quarters = 80 cents + 150 cents = 230 cents = $2.30

The answers have been confirmed.

Help please? Its long division.

I will give 40 points to the person who gets it right or the first answer.

Answers

Answer:

x³+y³+z³=k

Explanation:

I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree.  I'll give you clap on your cheeks. Bring your parents and your mother and especially your father.  Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back

7,278 divided by 54 would be 134.78!

whats obamas second names

Answers

Answer:

Barrack Obama?

Step-by-step explanation:

Former president Obama's full name is Barack Hussein Obama II

Answer:

barack

Step-by-step explanation:

A shop sells 13 coffes and 65 hot chocolates. What is the ratio of coffes to hot chocolate?
PLS HELP

Answers

Answer:

thats easy  its 52 but you have to -

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:its the only ratio

Which of the following values are solutions to the inequality
-10 + 3.x > -4?
I. 8
II. 2
III. - 6

Answers

To solve x, you need to isolate the variable with the following steps.

-10 + 3x > -4

3x > 6                  Add 10 to both sides.

x > 2

The solution is x > 2, or answer II and III.

I need to find how many boxes can be shipped in an 18 hour period. I also provided the graph to help answer

Answers

Answer:

216 boxes

Step-by-step explanation:

you can see by the highlighted point that in 5 hours 60 boxes are shipped. that means 12 boxes per hour (60/5=12)

When you know this just multiply the hours by 12 and you get 12*18=216

Please help me with this math problem!! I will give brainliest!! No links :)

Answers

Answer:

Hello, your

Step-by-step explanation:

For this particular problem (with units in mind), the formula for arc length is

Arc length

=

2

π

r

(

x

360

)

,

Where

x

is the central angle measure and

r

is the radius of the circle.

You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over

360

.

Anyway, let's continue with the problem. We are given that the central angle is

60

, and that

r

, our radius, is

9

feet. So, let's plug that into our equation to find the arc length, in feet:

Arc length

=

2

π

r

(

x

360

)

Arc length

=

2

π

(

9

)

(

60

360

)

Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.

Arc length

=

2

π

(

9

)

(

60

360

)

Arc length

=

18

π

(

1

6

)

Arc length

=

3

π

feet

So, if you wanted an exact answer, it would be that the arc length is

3

π

feet

. If you wanted an approximate answer, then you can type

3

times

π

in your calculator to get a value of about

9.425

feet

as you alternative answer.

I hope that helps!

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Red Cab?

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

costs are on the y axis, miles are in the x axis.

so, what points do we see on the chart for the red taxi ?

let's start with the point right in the y-axis : (0, 2).

that gives us the y- intercept automatically.

and then let's pick e.g. the point, where both lines cross : (3, 8).

so, for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +6 (from 2 to 8).

the slope is then 6/3 = 2.

and again, the y- intercept is +2.

therefore, the line equation is

y = 2x + 2

10. A donut shop serves plain and chocolate
donuts at a ratio of 5 to 3. Based on this
ratio, how many chocolate donuts will be
served if there are a total of 120 donuts
served?

Answers

Answer:

75

Step-by-step explanation

5+3=8

120/8=15

15(5)=75

If there are a total of 120 donuts served 45 will be chocolate donuts.

What is a ratio?

A ratio is a comparison between two similar quantities in simplest form.

A ratio a : b can be written as a/b.

Given, A donut shop serves plain and chocolate donuts at a ratio of 5 to 3.

Plain donuts : Chocolate donuts = 3 : 5.

If there are a total of 120 donuts served chocolate donuts will be,

= 3/(5 + 3)×120.

= (3/8)×120.

= 45 chocolate donuts.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ2

The picture shows the $63.90 three friends spent on dinner.
They want to split the dinner check equally.

Drag the money below to the box to show how much each friend will pay.

Answers

Answer:

$21 . 30

Step-by-step explanation:

Money spent on dinner  =$ 63.90

Money paid by each of the 3 friends = 63.90 ÷ 3 = $ 21.30

Find area and perimeter.

Answers

Answer:

24

Step-by-step explanation:

4+3+1+3+4+3+1+3=24

In quadrilateral ABCD AB||CD and m/_2 =31 what is m/_5

Answers

Answer:

5 is ALSO 31⁰ BECAUSE THE LINES ARE PARALLEL

GIVE BRAINLIEST PLZ

Find the value of x. Tell what theorems you used.

Answers

Answer:

7 is isosceles so x= 55 bc the other angle is. 8 is isosceles so x= 68 and 9 is right angle all angles in a triangle add up to 180 so 180-90 /2 = 45 so x=45

Which of the following is equivalent to (i + 3) +i(2i - 4)?
A. -3i+1
B. -i+3
C. i-3
D. -5i +1

Answers

Answer:

I think a or b

Step-by-step explanation:

hope it help ok

How to solve 3x+12=2x

Answers

Answer: x=-12

Step-by-step explanation:

subtract 12 from both sides

3x=2x-12

subtract 2x from both sides

x=-12

Subtract 12 from both sides of the equation:

3x + 12 = 2x

3x + 12 - 12 = 2x - 12

Simplify:

3x = 2x - 12

Subtract 2x from both sides of the equation:

3x = 2x - 12

3x-2x = 2x  - 12-2x

Simplify:

combine like terms --> multiply by 1 --> combine like terms

x = -12 <-- ANSWER

having trouble with my work, does anybody know this

Answers

It’s pie 3.15 so a and b

123÷11= Whit explication please

Answers

Answer:

11.181

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

0      

1 1  1 2 3 .    

− 0      

1      

Divide 1 by 11. Write the remainder after subtracting the bottom number from the top number.

2.

0 1      

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1      

Bring down next digit 2. Divide 12 by 11. Write the remainder after subtracting the bottom number from the top number.

3.

0 1 1    

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2    

Bring down next digit 3. Divide 13 by 11. Write the remainder after subtracting the bottom number from the top number.

4. Put the decimal point.

5.

0 1 1 . 1  

1 1  1 2 3 . 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

6.

0 1 1 . 1 8  

1 1  1 2 3 . 0 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 90 by 11. Write the remainder after subtracting the bottom number from the top number.

7.

0 1 1 . 1 8 1

1 1  1 2 3 . 0 0 0

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2 0

−      1 1

9

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

End of long division (upto 3 decimal places).

123 ÷ 11 = 11.181

(Sorry If I made this to confusing)

123 divided by 11 is 11.18 your welcome :)

A cargo ship traveled 150 miles in 6 hours at a constant speed. How far did the cargo ship trave in 1 hour?

Answers

the answer is 25 nautical miles

2x+3=15
x+y=6
work out the values of x and y

Answers

Answer:

x=6 and y=0

Step-by-step explanation:

1. 15-3=12

2. 12÷2=6 6=x

3. 6-6=0 0=y

Subtract 3 from 15 and positive 3, you’re left with 2x = 12. Now you divide both sides by 2 to get x alone. x=6 so y =0

Which values of x make 3x +1/x = 1/x-3 true?

Answers

Answer: 0 because they are just in the opposite order, and order doesnt matter.

im srry if its wrong

Step-by-step explanation:

What is the measure of ∠EGF? __
40°
55°
65°
80°


What is the measure of ∠CGF? __
50°
90°
95°
115°

Answers

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

May I please receive help???? Pleaseeeeeeee

Answers

Answer:

E: 105

F: 50

G: 45

Step-by-step explanation:

Answer:

e f g

Step-by-step explanation:

cause my brother helped

Just this one and show your work if you can please ^^

Answers

Answer:

m = 1

Step-by-step explanation:

We can start by moving all the terms with m to one side by subtracting m from both sides(to cancel out):

11m + 13 = m + 23

-m            -m

10m + 13 = 23

Now, to single out the m term, we can subtract 13 from both sides:

10m + 13 = 23

         - 13    -13

10m = 10

To find the value of m, we can divide both sides by 10:

10m = 10

÷ 10  ÷10

m = 1

32+ (-12 7/8)=
Don't forget to explain

Answers

Answer:

19 1/8

Step-by-step explanation:

Look at the picture

,..............................................

Lesson 14 Homework
NYS COMMON CORE MATHEMATICS CURRICULUM


Thomas calculates 9 x 7 by thinking about it as 70 - 7 = 63. Explain Thomas' strategy.

Answers

his strategy is to do it in parts. 10x7 is a little easier since anything x 10 just gets a 0 on the end of it. so 10x7=70 then he subtracted 7 to get the answer to 9x7 which is 63

The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying the water in inches. Find h (1.5) and interpret your solution in the context of the problem find the value of d when h (d) = 10.3 and interpret your solution in the context of the problem

Answers

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

h(1.5)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

h(10.3)

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

Context of the solutions to h(1.5) and h(10.3):

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

The sum of two integers is 75. One of the numbers is three more than the other. What is the larger integer?

Answers

Answer:  56.25

Step-by-step explanation:

Assign variables to the integers

Let the larger integer be 'A' and the smaller 'b'

Write Equations based on the Question

Since the sum of the integers is 75, then A + b = 75 (eq

1)

Since the larger number is three times more than the smaller, then  A = 3b (eq2)

Combine the Equations and solve for variables

By substituting the value of A in eq1 into eq2

⇒ 3b + b = 75

          4b = 75

            b = ⁷⁵/₄ = 18.25

By substituting the value of b into eq1

⇒  A = 3(⁷⁵/₄)

    A = ²²⁵/₄ = 56.25

    ∴ the larger integer is 56.25

Check our Answer:

A + b = 56.25 + 18.75 = 75

39 is the answer

If $x$ is the larger integer, then the smaller integer is $x-3$. We find the sum and set it equal to 75:$$x+x-3=75\qquad\Rightarrow \qquad 2x=78\qquad\Rightarrow \qquad x=39$$The larger integer is $\boxed{39}$.

Relation or function

Answers

I need help my self lol XD
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