What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Y= -6/5x + 10
Y= -6/5x + 12
Y= -5/6x - 10
Y= 5/6x - 12

What Is The Equation Of The Line That Is Parallel To The Given Line And Passes Theought The Point (12,

Answers

Answer 1

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]

[tex]or \: m1 = \frac{5}{6} [/tex]

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

[tex]y + 2 = \frac{5}{6} x - 10[/tex]

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!


Related Questions

Maria rents a car for one day. The charge is $30 plus the $0.15 per mile. She wants to spend
exactly $90. How many miles can she drive?

Answers

Answer:

Maria can drive 400 miles.

Step-by-step explanation:

30 + 0.15x = 90

0.15x = 60

x = 60/0.15

x = 400

PLS HELP ME FIND WHAT A AND B EQUAL

Answers

Answer:

A = 68

B = 44

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+B+C =180

x + x-24 +68 = 180

Combine like terms

2x+44 =180

Subtract 44 from each side

2x+44-44= 180-44

2x = 136

Divide by 2

2x/2 = 136/2

x = 68

A = x = 68

B = x-24 =44

Answer: I’m confused with A but I’m 100% sure B is 44 I hope this helped

Step-by-step explanation:

Find the vertex of f(x)=x2 -6x +8 .

Answers

Answer:

(3,-1)

Step-by-step explanation:

[tex]f(x) = x {}^{2} - 6x + 8 \\ y = {x}^{2} - 6x + 8 \\ equation \: is \: in \: the \: form \: of \: ax {}^{2} + bx + c \\ a = 1 \\ b = - 6 \\ c = 8 \\ solve \: for \: x \\ x = \frac{ - b}{2a} = \frac{ - (- 6)}{2 \times 1} = \frac{6}{2 } = 3 \\ substitute \: x = 3 \: in \: the \: original \: equation \\ solve \:for \:y \\ y = 3 ^{2} + (- 6 \times 3) + 8 \\ y = - 1 \\ [/tex]

Question in Image answer with explanation please added 20 points

Answers

Answer:

$117,351 JMD

Step-by-step explanation:

It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:

780 * 150.45 = 117,351

Step-by-step explanation:

$1US dollar=$150.45JMD

$780US dollars=?

=$150.45×$780

=$117,351

Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b

Answers

Answer:

e.

Step-by-step explanation:

it can be simplified to 7a-7b

4x-3=2x+7
2x+6=7x-14

Answers

4x-3=2x+7
4x-2x=7+3
2x=10
x=5

2x+6=7x-14
2x-7x=-14-6
-5x=-20
x=4

what statement best describes the function below f(x)=x3-x2-9x+9

Answers

Answer:

It is a many-to-one function.

Step-by-step explanation:

Lol this one is hard as hell

Answers

Answer:

b

Step-by-step explanation:

triangle B is two units down on the y axis.

if triangle B was not two units down, it would be a mirror image to triangle A across the y-axis.

together it makes a reflection across y-axis as well as translated 2 units down

Please help me. I will give brainless.

Answers

Answer:

1.

3x+7x+2

=E.10x+2

when x=6

10*6+2

=62

2.

4y+5+2y

=A.6y+5

when y=3

6*3+5

=23

3.

9+x+4x

=E.5x+9

when x=8

5*8+9

=49

4.

8y+3+4y

=S.12y+3

when y=4

12*4+3

=51

5.

9x+5+x+8

=E.10x+13

when x=7

10*7+13

=83

6.

4y+8y+6+2y

=A.14y+6

when y=2

14*2+6

=34

7.

4x+2y+7x+3

=E.11x+2y+3

when x=3 &y=4

11*3+2*4+3

44

8.

8+3x+x+5y

=B.4x+5y+8

when x=8,y=5

4*8+5*5+8

=65

9.

9x+6y+5x+4y

=U.14x+10y

when x=7,y=9

14*7+10*9

=188

10.8+6x+4+8y

=H.6x+8y+12

when x=1,y=6

6*1+8*6+12

66

11.

3x+2y+4+9y

=H.3x+11y+4

when x=8,y=4

3*8+11*4+4

72

12.

4x+5y+7x+5+2y

=E.11x+7y+5

when x=2,y=3

11*2+7*3+5

=48

13.

9+8x+3y+3+5y

=C.8x+8y+12

x=7,y=5

8*7+8*5+12

=108

14.

x+6x+2y+1+9y

=F.7x+11y+1

when x=6,y=9

7*6+11*9+1

=142

15.

6x+2y+5y+7+y

=H.6x+8y+7

when

x=8,y=1

6*8+8*1+7

=63

16.

8x+8y+x+6y+4x

=S.13x+14y

when x=1,y=2

13*1+14*2

=41

17.

3x+8+4y+7+3x

=C.6x+4y+15

whenx=9,y=6

6*9+4*6+15

=93

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

15 cm equals_____ mm

Answers

Answer:

I the answer would be 150 millimeters.

Answer:  150 mm

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

Work Shown:

1 cm = 10 mm

15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15

15 cm = 150 mm

would really appreciate the help!:(

Answers

Answer:

b is 285

Step-by-step explanation:

What is an equation of the line that passes through the points
(
0
,

4
)
(0,−4) and
(

4
,
6
)
(−4,6)?

Answers

Answer:

[tex]y=-\frac{5}{2}x-4[/tex]

Step-by-step explanation:

[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]

[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]

Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?

Answers

Answer:

[tex]x=\frac{3}{5}[/tex]

x = - 1

Step-by-step explanation:

5x² + 2x - 3 = 0

5x² + 2x - 3x = 0

(5x² + 5x) + (- 3x - 3) = 0

5x(x + 1) - 3(x + 1) = 0

(5x - 3)(x + 1) = 0

Create separate equations.

5x - 3 = 0

x + 1 = 0

5x - 3 = 0

5x - 3 + 3 = 0 + 3

5x = 3

5x ÷ 5 = 3 ÷ 5

[tex]x=\frac{3}{5}[/tex]

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1

what is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

Answers

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]

And we want to find the remainder after it is divided by the binomial:

[tex]x+4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]

The remainder will be 6.

m∠2=(7x−11)∘ and m∠4=(4x+4)∘
What is m∠1 ?

Answers

Answer:

Step-by-step explanation:

7x-11=4x+4(being vertically opposite abgles)

7x-4x=4+11

3x=15

x=15/3

x=5

angle 2+angle1=180 degree(being straight line)

7x-11+angle 1=180

7*5-11+angle 1=180

35-11+angle1=180

24+angle 1=180

angle 1=180-24

angle 1=156 degree

On the interval (r, 7), at which x-value is the average rate of change 56?
х
3
4
5
6
6
7
12
24
28
96
192
Reset
Next
21 Edmentum. All rights reserved.

Answers

I need point 4,7 so lemme get this pls and thx


Mr. Flourdust is a baker. Today he is making apple pies.
He has 12 bags of apples, with 6 apples in each bag.
He uses 6 apples for each pie.
How many apple pies can Mr. Flourdust make?

Answers

Answer:

12 apple pies

Step-by-step explanation:

If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.

So, 1x12 = 12 apple pies

Hope this helped :)

the answer in the problem is 0.75

Answers

Answer:

0.75

Step-by-step explanation:

you said it was 0.75

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

The length of each side of the square is (3x-2) units

The dimensions of the rectangle are (5x + 4y) and (5x -4y) units

Factoring an expression

From the question, we are to factor out the given expression for the area of the square

The expression is

9x² − 12x + 4

Factoring

9x² − 12x + 4

9x² −6x -6x + 4

3x(3x -2) -2(3x-2)

(3x -2)(3x -2)

Hence, the length of each side of the square is (3x-2) units

Part B:

The given expression is

25x² − 16y²

Factoring

25x² − 16y²

By difference of two squares, we get

(5x + 4y)(5x -4y)

Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units

Learn more on Factoring an expression here: https://brainly.com/question/11660720

#SPJ1

.-La familia Juárez es parte de nuestra comunidad educativa, tiene cuatro integrantes; la mama se dedica al comercio y gana S/1000 mensuales, el papa gana semanalmente S/400. Y gastan de la siguiente manera: atentación S/250 por persona; vestimenta S/40 por persona; en servicios de agua y luz S/30 y S/100, respectivamente; paquete de teléfono, internet y cable S/120; gas S/40; alimentación para gallinas S/15 cada mes e higiene personal S/ 20 por persona. Además, en esta situación de pandemia compran cada mes un Kit de Bioseguridad compuesto por: 4 mascarillas de tela, a S/10 cada una; 4 litros de alcohol, a S/8 cada uno, y 3 litros de lejía, a S/5 cada uno. ¿Cuál será el presupuesto mensual de la familia si además recibe S/10 por venta de una docena de huevos? ¿A cuánto asciende el gasto mensual por persona?

Answers

Answer:

a) 201s / 1000

b) 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Step-by-step explanation:

Total de miembros de la familia = 4

Ganancia de la madre = s / 1000 por mes

Ganancia del papa = s / 40 por semana

Ganancia por venta de huevos = s / 10

Ganancia total por mes = s / 1000 + s / 40 * 4 + s / 10 = s / 1000 + s / 10 + s / 10 = 201s / 1000  

Gasto-

Servicio - S / 250 * 4 = 4s / 250

ropa - 4S / 40

servicios de agua - 4S / 30

Electricidad - 4S / 100

paquete de teléfono, internet y cable - S / 120

gas - S / 40

alimento para pollos - S / 15 cada mes

higiene personal 4S / 20

4 mascarillas de tela - 4S / 10

4 litros de alcohol - 4 S / 8

3 litros de lejía - 3S / 5

Gastos totales = 2s / 125 + s / 10 + 2s / 15 + s / 25 + s / 120 + s / 40 + s / 15 + s / 5 + 2s / 5 + s / 2 + 3S / 5

Gasto total = 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2

Hi! can someone help me find the value of x?​

Answers

Answer:

x=2

Step-by-step explanation:

Since the angles are equal, the side lengths are equal  (isosceles triangle)

12 =6x

Divide by 6

12/6 = 6x/6

2= x

Subtract. write the difference in simplest form (5n - 3) - (-2+7)

Answers

I believe that the answer is 5n-8

SATELLITE DISH Suppose the receiver in a parabolic dish antenna is 2 feet
from the vertex and is located at the focus. Assume that the vertex is at the
origin and that the dish is pointed upward. Find an equation that models a
cross section of the dish.
a. x2 = -8y
b. x2 = 2y
c. x2 = 8y
d. y2 = 8x

Answers

Answer:

D) [tex]x^{2} =8y[/tex]

Step-by-step explanation:

Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation [tex](x-h)^2=4p(y-k)[/tex] where [tex](h,k)[/tex] is the vertex of the parabola and [tex](h,k+p)[/tex] is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is [tex](0,0)[/tex] at the origin, then the focus point is [tex](0,0+p)[/tex] where [tex]p=2[/tex]. Therefore, the equation that models a cross section of the dish is [tex]x^{2} = 8y[/tex].

Meena finds some nickels and quarters under the couch cushions. How much money (in cents) does she have if she has 8 nickels and 6 quarters? How much money (in cents) does she have if she has n nickels and q quarters?​

Answers

Answer:

$.40 cents in nickels and $1.50 (or 150 cents) in quarters in total she would have $1.90 in cents he would have 190 cents in total

Step-by-step explanation:

you would do 8x5 to get 0.40 cents and then do 6x25 to get $1.50 so she will

. A worker takes 5 hours to make 300 dayas.
a) How long will the worker take to make in:
i) 45 dayas

Answers

Answer:

45

Step-by-step explanation:

5*60=300 minutes

300/300=1

means he makes 1 in one minute

so 45 for 45

Given the right triangle below, if AB = 4 and BC = 4, find AC.

Answers

By using Pythagorean's theorem we will find that the measure of AC = 5.66 units.

How to find the missing side of the right triangle?

Remember that for any right triangle with an hypotenuse H and two legs A and B, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

AB = 4

BC = 4

Because these two have the same length, we know that these two must be the legs, then AC (the side we want to find) is the hypotenuse.

Then we can write:

4^2 + 4^2 = AC^2

16 + 16 = AC^2

√(16 + 16) = AC

√32 = AC

5.65 = AC

The measure of the hypotenuse of the right triangle is 5.66 units.

Learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

An animal shelter has three kinds of Labrador Retrievers: yellow, brown, and black. They have
both male and fomae in all of the colors. What is the probability of picking a female yellow Labrador
Retriever?

Answers

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

Mrs. Townsend had 29 feet of fabric.

Answers

Step-by-step explanation:

29/8= 3.625

It lies between 3 and 4

Hope this helped!

Answer:

Between 3 and 4 pieces of fabric.

Step-by-step explanation:

29/8 is equal to 3.625, which you can round up to 4 or round down to 3, since they are both the nearest whole numbers to 3.625.

which plane is parallel to plane CIJ??

Answers

Answer:

Step-by-step explanation:

??

PLZ HELP I THINK ITS NONE

Answers

Answer:

its none

Step-by-step explanation:

Answer:

none of these answers are correct.

Other Questions
How does the circulatory system supply blood throughout the body Sah Inc's last free cash flow was $1.75 million. Its free cash flow growth rate is expected to be constant at 25% for 2 years, after which free cash flows are expected to grow at a rate of 6% forever. Its weighted average cost of capital WACC is 12%. Huxley has $5 million in short-term investments and $7 million in debt and has 2 million shares outstanding. What is the best estimate of the current intrinsic stock price Ill give brainliest if you answer this correctly What is the midpoint of the segment shown below?(-2,4) (6,-4)A. (3, 0)B. (1, 0)C. (4, 0)D. (2, 0)a p e x :( Which sentence contains the most elements of a final summary?Out of vengeance, they hewed the fig tree into little pieces.Now Enkai lives at the top of Mount Kenya, and we Maasai still live below, herding cattle down in the plains.Its not a bad life, especially when Enkai is the Black God, providing for us.And when the cattle or other children cause problems, I just warn them that they never know when I might suddenly develop my godly powers. Let g(x) = 4x - 20 and h(x) = -1/2x + k. For what value of k is the zero of h(x) equivalent to the zero of g(x) What is the amplitude of this function f (x)?f(x) = 3 cos (2x) + 5Enter your answer in the box. I need help with this question A perpetual inventory system will always give updated balances for: A. Goods Available for Sale and Sales Revenue. B. Inventory and Sales Revenue. C. Inventory and Cost of Goods Sold. D. Accounts Receivable and Inventory. How is the answer 100.48 ?? Someone explain I'm confused ProblemWhat was the main reason many northerners opposed to the Fugitive Slave Act of 1850?They were forced to use their police and resources to enforce slavery.B It forced them to recognize escaped slaves as citizens of their state.C It made slavery legal in northern states.DIt allowed fugitive slaves to settle in northern states.Submi Suppose that you have two different algorithms for solving a problem of size n. The first algorithm uses exactly n(log n) operations and the second algorithm uses exactly n 3/2 operations. As n grows, determine which algorithm uses fewer operations? if you spin the spinner twice what is the probability of spinning orange then brown Sketch the graph of y = 2 x squared + 7 x using your graphing calculator. What are the x-intercepts of this graph? a. (1, 0) and (-0.5, 0) c. There are no x-intercepts b. (0, 0) and (-3.5, 0) d. (-1.5, 0) and (-0.5, 0) Please select the best answer from the choices provided A B C D can anyone help meh with this i wasn't paying attention in class when my teacher was explaining how to do this :,) As a result of imperialism the economies of colonies off and shifted from subsistence economy based on why are the chances for a husband and wife having either a boy or girl 50:50? easy english question below first correct answer gets brainliest PLEASE HELP ME!! The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how longis the ladder? How did improved transportation affect the economy of the United States in the early 1800s?It required fewer people to produce goods.It increased costs of transportation, sending the economy into a recessionIt shared ideas and inventions more quicklyIt transitioned the economy from agriculture to market.