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muminat
4 years ago
14

Solve the equation 3x + 6y = 18 for x.

Mathematics
1 answer:
Elena-2011 [213]4 years ago
3 0

3x + 6y = 18    -6y

3x = 18 - 6y     Divide by 3

3x/3=18/3-6y/3  Simplify

x=6-2y

Now we check by plugging in the value of x.

3(6-2y)+6y=18 simplify

18-6y+6y=18    simplify more

18=18.

NOW we know for sure that this is correct

x=6-2y

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Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
o-na [289]

Answer:

<h2>          y = ²/₅ x - 3</h2>

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

7 0
3 years ago
Hello, how can I find the slope of 4y+6x=2?
omeli [17]

You solve for y

4y=-6x+2

y=-6/4x+2

y=-2/3x+2


Slope is -2/3, the number in front of x is the slope.


3 0
3 years ago
Read 2 more answers
What are the roots of the quadratic equation x2+2x=-5
stiks02 [169]

Answer:

x = -1 +/-2i

Step-by-step explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i

5 0
4 years ago
Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5
WINSTONCH [101]

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

8 0
3 years ago
Find the lowest common denominator of 3/4 and 5/8 A. 16 B. 32 C. 8 D. 4.
Alekssandra [29.7K]
The answer is C. 8. Then both can have a denominator that looks like this..
6/8 and 5/8. Hope it helps!
6 0
3 years ago
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