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FinnZ [79.3K]
3 years ago
5

The sum of two consecutive even numbers is 206. What is the value of the smallest number?

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0

Answer:

102

Step-by-step explanation:

Since we know that the numbers are two consecutive even numbers, we can write an equation like this where n represents the 2 numbers.

n + (n+2) = 206

Simplify the left side:

n + (n+2) = 206 -----> 2n+2 = 206

Subtract 2 from both sides:

2n = 206-2 -----> 2n = 204

Now divide 204 by 2:

n = 204/2 -----> n = 102

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We must find f (g (x)). So:

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f (g (x)) = \frac {1} {x + 3}

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A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (
Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

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