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rusak2 [61]
3 years ago
12

The slope of the line represented by the equation 2(x - 3) - 6y = 10 is equal to what?

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer:

\frac{1}{3}

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = \frac{2}{6}x - \frac{16}{6}

Simplifying gives;

y = \frac{1}{3} x +2 \frac{2}{3}

So the slope of this line = \frac{1}{3}

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Answer:

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Step-by-step explanation:  

we will  take a 2 point from the graph

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the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length
mamaluj [8]

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

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So now we have Length = 45 and Width = 33.

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Considering there are four 6s, four 7s, and four 8s, there are 12 cards that fit the description.

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