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Murrr4er [49]
3 years ago
15

The sum of 5 consecutive integers is 205. What is the third number?

Mathematics
1 answer:
Elza [17]3 years ago
7 0
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
                     = 41
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Answer:

The correct answer is B) y = 2x - 1

Step-by-step explanation:

To find this, first choose any two data points and find the slope. We'll use points (-2, -3) and (0, 1)

m(slope) = (y2 - y1)/(x2 -x1)

m = (1 - -3)/(0 - -2)

m = 4/2

m = 2

Now we use either point and the slope in point-slope form to get the equation.

y - y1 = m(x - x1)

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4 0
4 years ago
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kykrilka [37]

Answer:

umm im being rushed...

Step-by-step explanation:

It's the last one (The distance between D and A)

would U like me to explain??

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8 0
3 years ago
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Multiply the Polynomials:<br><br> (2x+3) (-x+2y-4)
GREYUIT [131]

The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12

<h3>How to multiply the polynomials?</h3>

The polynomial expression is given as

(2x + 3) (-x + 2y - 4)

Expand the brackets in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)

Open the brackets in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12

Evaluate the like terms in the above polynomial expression

So, we have

(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12

Hence, the solution is -2x² + 4xy - 11x + 6y - 12

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1 year ago
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Kitty [74]
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7 0
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Step-by-step explanation:

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|a|=5

8 0
3 years ago
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