write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12​

Answers

Answer 1

Answer:

y  = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is [tex]\frac{1}{2}[/tex]

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ([tex]\frac{1}{2}[/tex] x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = [tex]\frac{1}{2}[/tex]x - 2


Related Questions

Перечислите все целые числа, расположенные между числами –6,6 и –1,2.


Answers

Answer:

-6, -5, -4,-3,-2

Step-by-step explanation:

Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:

-6,-5,-4,-3,-2

Please, I need help!


The table above shows the number of trees and the number of apples that Jacob picked from each tree. Answer the following questions based on he table above

1. How many apples will Jacob pick from one tree. (calculate the unit rate).

2.Is there a proportional relationship between the number of trees and the number of apples Jacob picked? Explain using mathematical reasoning.

3. Using the unit rate, write an equation that Jacob can use to calculate how many apples he is able to pick from any tree.

4. Using your equation if Jacob had 25 trees, how many apples will he have.

Answers

1. in 1 tree, he will get 13 apples

2. yes there is a proportional relationship in the data because there are 13 apples per tree

3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)

4. if there were 25 trees, he would have picked 325 apples because

13*20 is 260

13*5 is 65

260+65 is 325

pls help again (picture below)

Answers

Answer:

C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000

Step-by-step explanation:

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

(1,9)
Write the interval as an inequality.

Answers

Answer:

1<x<9

Step-by-step explanation:

The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.

For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?

Answers

Answer: The estimated number of robins in the population is 550

Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:

1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;

2) After a period of time, catch another group and count the ones who have the mark;

3) Estimate the population using:

[tex]N=\frac{M*C}{R}[/tex]

where

N is the estimate of individuals in the population

M number of individuals marked

C is the total number of individuals captured the second time

R is the number of individuals with the mark recaptured

For the population of robins:

[tex]N=\frac{55*300}{30}[/tex]

[tex]N=\frac{16500}{30}[/tex]

N = 550

The best estimate for the robin population is 550.

*Eight is added to three times a number 'x' gives 15".​

Answers

Answer:

x+8 =15

x=15-8

x=7 .

this is the answer

Answer:

3x + 8 = 15

(If you wanted to solve it then:) x = 7/3

Step-by-step explanation:

Let's convert that into an equation.

Let "x" be the number.

3x + 8 = 15

If the question was to answer it, look below:

3x + 8 = 15

3x = 7

x = 7/3

Hope this helped! If not, please let me know! <3

who ever answers i will give brainliest :>​

Answers

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

can anyone help me?​

Answers

Answer:

Literally take your f(x) and - your g(x)

(x^2+9x+18) - (x + 6)

Remember to distribute the negative sign.

Find the unit rate. 13.00 for 2 books?

Answers

Answer:

= 6.5 dollars per book

Step-by-step explanation:

This is a fraction equal to

13 dollars ÷ 2 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.

Answer:

6.5 per book

divide 13 by 2

Step-by-step explanation:

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS

Answers

Answer:

D. SAS

Step-by-step explanation:

Given: ΔABC

Bisecting <ABC to create point D implies that BD is a common side to  ΔABD and ΔCBD.

Also,

m<ABD = m<CBD (angle bisector)

BA = BC (given property of the isosceles triangle)

Therefore,

ΔABD ≅ ΔCBD (Side Angle Side)

The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.

Answer:

Option D is correct trust me

Step-by-step explanation:

A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?

Answers

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division ​

Answers

Addition



Reason: because

Idk how to fill this in .

Answers

Answer:

3, 3, 6,9,12 if that's wrong try 3, 3, 6, 12, 36, 144

Step-by-step explanation:

you just multiply the numbers together to get your answer

Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?

Answers

Answer:

125,000

Step-by-step explanation:

PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?

Answers

Answer:

x=3

Step-by-step explanation:

A line with an undefined slope is a vertical line where for each and every value of  y ;  x  has the same value.

In this problem the  x  value is  3

Therefore the equation for the line is:  

x = 3

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

Can someone please Help me. ( picture included)

Answers

Answer:

The height of the flagpole is 20 feet.

Help me solve this problem please

Answers

Answer:

-8

Step-by-step explanation:

[tex] \frac{8 - 2x}{12} = 2[/tex]

[tex]8 - 2x = 24[/tex]

[tex] - 2x = 16[/tex]

[tex]x = - 8[/tex]

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

please help me!! :)​

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps :o

A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.

Answers

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

If you are given the graph of a line and are asked to write the equation of a
perpendicular line, does it matter what the y-intercept will be for the equation
you write? Explain why or why not.

Answers

Answer:

Yes

Step-by-step explanation:

It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.

Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.

According to the question;

We are required to determine; does it matter what the y-intercept will be for the equation you write when given the graph of a line and are asked to write the equation of a perpendicular line.

Although, according to line geometry;

The slope of two perpendicular lines are related as follows;

m1 m2 = -1

The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.

Read more;

https://brainly.com/question/13370039

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?

Answers

Answer:

10/24 or 5/12

Step-by-step explanation:

If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.

:) Hope this helps

can someone please answer these 2

Answers

Answer:

the second one is C

Step-by-step explanation:

please help me solve this​

Answers

Answer:

-1

Step-by-step explanation:


Please can anyone help me

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5

Answers

Answer:

17 (I think)

Step-by-step explanation:

substitue -3 in for x so 4(-3) + y = 5

-12+ y =5

+12        +12

y=17

Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary

Answers

Answer:

<2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary.

Step-by-step explanation:

Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i.  <1 and <2 are complementary

                  ii. <1 ≅ <3

                  iii. <2 ≅ <4

Prove that: <2 and <3 are complementary

Proof:

<1 + <2 = [tex]90^{o}[/tex] (complementary angles)

<1 ≅ <3 (congruent property)

<2 ≅ <4 (congruent property)

⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)

Since <1 ≅ <3,

∴ <2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary

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