Which equation represents a line which is perpendicular to the line 5x + 2y = 12?

Which Equation Represents A Line Which Is Perpendicular To The Line 5x + 2y = 12?

Answers

Answer 1

Answer:

         y = ²/₅ x - 3

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅


Related Questions

what is -2k + (-4k) + 5

Answers

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Which letter is in the solution set for graph #3

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Answer:

N

Step-by-step explanation:

Since it says y is greater then 1 it would be above the red line.

Then for the next equation, it says that y is less than the equation so it is under the blue line.

Answer: The solution is (4,1)

Step-by-step explanation:

You can tell if it is a solution by looking at the point where the two lines intersect(meet). This is why the solution is (4,1).

Find the value of x. Round to the nearest tenth if necessary.

Answers

Answer:

x

Step-by-step explanation:

A student committee is organizing a school dance as a fundraiser. The function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations

Answers

I assume you want this explained

Answer and explanation:

If the function f ( x ) = 5 x − 320 represents the total amount of funds raised based on the number of tickets sold, x , minus the cost of decorations then x number of tickets is an independent variable here that will determine the total amount of funds raised y(dependent variable)

The y intercept is -320 and the slope is 5

If for example the number of tickets sold = 100 tickets

Total amount of funds using the function :

f(100)= 5×100-320

=500-320

= $180

Answer:

The slope of the function is 5, and it represents the price of each ticket .

Step-by-step explanation:

how do you find the volume of a cylinder describe which measurements of the cylinder you need to know

Answers

Answer:

To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom

Step-by-step explanation:

Answer:

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Step-by-step explanation:

What is the greatest common divisor between 621 and 1035.

Answers

Answer:

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Step-by-step explanation:

Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answers

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A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.

This is what the table says:

Vowels Consonants
18 32

Answers

Answer:

38

Step-by-step explanation:

thats the answer

What is the average speed of someone who walks 3 kilometers in 1 hour?

A. 3 m/h B. 0.33 km/h C. 3 km/h D. 0.33 km/h2​

Answers

Answer: C. 3 km/h
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Which expression is equivalent to - 2/3 (6x + 15) ?
A.
4x + 10
B.
4x – 10
C.
-4x - 10
D.
- 4x + 10

Answers

Answer:

-4x - 10

Step-by-step explanation:

Given the expression -2/3(6x+ 15)

Open the bracket

-2/3(6x+ 15)

= -2/3 (6x) -2/3(15)

= -2(2x) - 2(5)

= -4x - 10

hence the equivalent expression is -4x - 10

35 : ? = 20 : 24
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Answers

Answer:

35:42=20:24

Hope this helps!

42 is the answer

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35:42 is also equal to 5:6 when simplified

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer: 6

Step-by-step explanation:

From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.

The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:

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Therefore, the answer is 6.


x + 3y = 18
-X - 4y = -25

Answers

-y=-7
Y=7
-x-4(-7)=-25
-x+28=-25
-x=3
X=-3

Answer:

x = -3

y= 7

Step-by-step explanation:

x + 3y=18 ----(1)

-x - 4y=-25 -----(2)

from equation (1)

x = 18 - 3y ---(3)

putting equation (3) into equation (2)

-(18 - 3y) - 4y = -25

18 + 3y -4y = -25

3y - 4y = -25 - 18

-y = -7

y = 7 ✓

Putting y=7 into equation (1)

x + 3(7) = 18

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x = 18 - 21

x = -3 ✓

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Answers

Answer:

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Step-by-step explanation:

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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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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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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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Step-by-step explanation:

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