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3 years ago

The sum of three consecutive odd integers is-219. What is the first number in the set?

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

Answer:

-75

Step-by-step explanation:

Let us consider the first odd number to be 'x'.

Thus:

1st odd number: x
2nd odd number: x+2
3rd odd number: x+3

According to the question, the sum of these three consecutive ODD numbers should be equal to -219

So,

x + x + 2 + x + 4 = -219

3x + 6 = -219

3x = -225

x = -75

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Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

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Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago

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Irina18 [472]

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Step-by-step explanation:

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2 years ago

If 2x squared + 8y = 121. 5, what is x

mezya [45]

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(step by step) :

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lyudmila [28]

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Using the sine ratio in the right triangle and the exact value

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2 years ago

Read 2 more answers

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Step-by-step explanation:

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