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kifflom [539]
2 years ago
14

What is the slope of line 2x-3y=19.​

Mathematics
2 answers:
KengaRu [80]2 years ago
6 0

Answer:

\frac{2}{3}

Step-by-step explanation:

Given Equation of line: y=mx+c,

where m = slope of line.

So, we will have to make y the subject to find the slope.

2x-3y=19\\2x-3y-2x=19-2x\\-3y=-2x+19\\y=\frac{-2x+19}{-3} \\y=\frac{2}{3} x-\frac{19}{3}

From here, we can see the slope of the line is \frac{2}{3}.

Alexxx [7]2 years ago
3 0

Answer: 2/3

Step-by-step explanation:

2x-3y=19

minus 2x from both sides

-3y=-2x+19

divide both sides by -3

y=2/3x-19/3

slope is 2/3

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⦁ Find the sum of the series . 15 sigma n=1, (2n-1) Show your work
sergejj [24]

Answer:

225

Step-by-step explanation:

The sum of this series is given by the formula:

S_n=\frac{n}{2}[2a+(n-1)d]

Where

S_n is the sum

a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)

n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)

d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)

<em>plugging in the info, we will get the sum:</em>

<em>S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225</em>

<em>The sum is 225</em>

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3 years ago
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7 0
2 years ago
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