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The straight line L, has equation y = 3X - 4.
The straight line L2, is perpendicular to L, and passes through the point (9, 5). Find an equation of line L2. Show your working out.

Answers

Answer 1

Step-by-step explanation:

y = mx + c, where m is the slope of the line and c is the y-intercept.

We have y = 3x - 4 as line L.

Slope of line L = 3

=> Slope of line L2 = -1/3

We have y = -1/3 x + c as our line L2 equation.

When x = 9, y = 5.

=> (5) = -1/3 * (9) + c

=> 5 = c - 3, c = 8

Hence the answer is y = -1/3 x + 8.

Answer 2

The equation of required line [tex]l_2[/tex] is .

Y = mX+c

[tex]Y = \frac{-1}{3} x + 2[/tex]

Given, The equation of straight line L.

Y=3X-4

compareing  with the standard equation of line

Y=mX+c

slope of the equation of line L is [tex]m_1[/tex]= 3.

The product of slopes of two perpendicular lines is -1.

[tex]\rm m_1. m_2 = -1[/tex]

[tex]3.m_2 = -1\\m_2 = \frac{-1}{3}[/tex]

The slope of perpendicular line is  and it passes through the point (9,5). So the equation of the line is

[tex]y = m_2x+c[/tex]

[tex]5 = -\frac{1}{3} . 9 + c[/tex]

5 = -3 + c

5+3 = c

c = 8

Therefore, the equation of required line [tex]l_2[/tex] is .

Y = mX+c

Y = [tex]\frac{-1}{3} X +8[/tex]

For the more details follow the link given below.

https://brainly.com/question/24143133?


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Answer:

b

Step-by-step explanation:

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Starting from the number you walked to in Part c, walk to the opposite of that number. Which number did you end up on? How many steps did you take?

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Step-by-step explanation:

15 to 18 =
What are 3 equivalent ratios for 15 to 18

Answers

Answer:

5 to 6 or 30  to 36

Step-by-step explanation:

15/3=5, 18/3=6, 15*2=30,18*2=36

Apply the distributive property to factor out the greatest common factor of all three terms. 24c + 36d + 18 =

Answers

Answer:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Step-by-step explanation:

Given

[tex]24c + 36d + 18[/tex]

Required

Factorize

[tex]24c + 36d + 18[/tex]

Expand each term

[tex]6*4c + 6 *6d+6 *3[/tex]

Factor 6 out of the expression

[tex]6(4c + 6d+3)[/tex]

Hence:

[tex]24c + 36d + 18[/tex] [tex]= 6(4c + 6d+3)[/tex]

Answer:

6(4c+6d+3)

Step-by-step explanation:

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(0,10) (5,10) (-5,-10)

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How were salt and sugar represented differently in the simulation?

Answers

Answer:

Each state of matter behaves differently and the particles in each state behave ... Take a good look at the picture of the particles in a solid (table salt) above. You will ... What did you observe in the container immediately after the liquids were mixed?

Step-by-step explanation:

Is that what you were looking for?

Consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. Assume that numbers can start with 0. What is the probability of choosing a random number that starts with 4 from this group

Answers

Answer:

[tex]P_4= 0.2[/tex]

Step-by-step explanation:

From the question we are told that

Consider all seven-digit numbers

Created from the digits 0-9

Generally number of digits that starts with 6 is mathematically  given as

The total amount of digits from 0-9(0,1,2,3,4,5,6,7,8,9 = 10

The total amount of even digits within 0-9 (0,2,4,6,8) = 5

The total amount of 3-digit numbers giving the first and last digits to be even = 5 * 10 * 5 = 250

The total 3-digit numbers giving the first digit is 4 and last digit is even = 1 * 10 * 5 = 50

Probability the number starts with 4

      [tex]P_4 = \frac{50}{250}[/tex]

      [tex]P_4= 0.2[/tex]

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Answers

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Jordan drives for three hours at an average of 60 miles per hour what is the distance in miles he drives during that time

Answers

Answer:

d = 180 miles

Step-by-step explanation:

Given that,

The average speed of Jordan, v = 60 mph

Time, t = 3 hours

We need to find the distance he drives during that time. Average speed is equal to the distance divided by time taken.

v = d/t

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So, the distance driven during that time is 180 miles.

A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?

Answers

Answer:

Step-by-step explanation:

the amount of mark up is

13*(40/100)=5.20

What is the slope of the line below?

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2/3 that is the slope

You paint four walls. Each wall is a rectangle with a length of 18 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?

Answers

Answer:

you will need exactly 2.7 gallons of paint but if rounded you'll need 3 gallons

Step-by-step explanation:

It is Moesha's birthday. Her mom gives her $10, and her dad gives her $15. Moesha uses her gifts to buy a doll for $20.
Both expressions below represent how much money she has left.
Expression 1: $10+ $15 - $20
Expression 2: ($10+ $15) - $20
Why is expression 2 better than expression 1 in representing Moesha's situation?
A Expression 2 stresses that the doll could not be bought without parents' gifts.
B Expression 1 separates the money that Moesha got as gifts from the money that she spent.
C Expression 2 shows Moesha's parents gave her a doll.
D Expression 1 does not solve to the correct amount of money that Moesha has left.

Answers

Answer:

the answer is B

Step-by-step explanation:

Find the value of the missing angles.

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Answer:

t=62

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Step-by-step explanation:

2 2/3 x 1 1/8
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Answer:

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Step-by-step explanation:

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

1. Isolate x in the first equation:

2. Substitute the value for x into the second equation:

3. Solve for y:







4. Substitute y into either original equation:

5. Write the solution as an ordered pair:





x = 7 – 3y

2(7 – 3y) + 4y = 8

14 – 6y + 4y = 8

14 – 2y = 8

–2y = –6

y = 3

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(, )

Answers

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

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-2y=-6

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y=3

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4. Substitute y into either original equation:

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x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

Answer:

-2,3

Step-by-step explanation:

Isolate x in the first equation:

Substitute the value for x into the second equation:

Solve for y

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Answers

You were correct on your guess, C. Circumcenter

May I have brainliest please? :)

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Answers

Your answer to the question is C.214 R2 hope you get it right

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did u find out or no

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Answer:

1 and 2

Step-by-step explanation:

If y was 1: -2 x 1 + 18 = -2 + 18

= 16  This works

If y was 2: -2 x 2 + 18 = -4 + 18

= 14  This works

If y was 3: -2 x 3 + 18 = -6 + 18

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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86
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Answers

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

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Solve the Equation
-x+8+3x=x-6

x=-18
x=-14
x=2
x=4​

Answers

Answer:

x= -14

Step-by-step explanation:

-x+8+3x=x-6

2x+8=x-6

2x-x=-6-8

x= -14

The value of x in the equation is -14

How to solve the equation?

We have:

-x+8+3x=x-6

Collect like terms

3x - x - x = -6 - 8

Evaluate the like terms

x = -14

Hence, the value of x in the equation is -14

Read more about equations at:

https://brainly.com/question/2972832

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x² - 2x >0 solve this question​

Answers

Answer:

x2 = x times x which is 2x and 2x means the same thing so x2 - 2x = 0 this is equation A , going to equation b on the other side ( 0 ) zero is zero no equation is needed therefore 0=0

Step -by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

a

Step-by-step explanation:

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Answers

Answer:

The return value is 100

Step-by-step explanation:

Given

[tex]=SUM({10;15;20;25;30})[/tex]

Required

Determine the return value

In Microsoft Office Excel, the sum of values is represented as:

[tex]=SUM({a_1;a_2;a_3;.....;a_n})[/tex]

This is interpreted as:

[tex]SUM= a_1;a_2+a_3+.....+a_n[/tex]

So, in the case of:

[tex]=SUM({10;15;20;25;30})[/tex]

The return value is:

[tex]Value= 10 + 15+ 20 + 25 + 30[/tex]

[tex]Value= 100[/tex]

Hence, the return value is 100

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