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SashulF [63]
3 years ago
13

find three consecutive numbers such that three times the first number is equal to 9 more than the sum of the other two.

Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

12, 13, 14

Step-by-step explanation:

Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than  n (which is n+1) and the third number is one more than that (which is n+2)

So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )

3 times n can be written as 3n

So 3n = 9 + (n+1) + (n+2)

3n = 9 + n + 1 + n + 2

3n = 9 + 1 + 2 + n + n

3n = 12 + 2n

Subtract 2n from each side

3n - 2n = 12 + 2n - 2n

1n = 12

n = 12

So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)

The numbers are 12, 13, 14

Hope this helps :)

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Answer:

Step-by-step explanation:

Hey sweetie!

We are given two points: (-7, 9) & (5, 5)

And we are asked to find the slope

To do this only given two points use the Slope-Formula to solve for the slope

m = slope
m = y2-y1/x2-x1
m = 5-9/5–7
m = -4/12
m = - 1/3

The slope will be - 1/3

Final Answer: m = - 1/3
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Answer:

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3 years ago
How do you find the height of a triangle (to calculate area)?
Lilit [14]

Answer:

The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:

  • <u>Height of the triangle = 10.392</u>

And the area of the triangle is:

  • <u>Area of the triangle = 31.176 units^2</u>

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:

  • <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

  • (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
  • (adjacent leg)^2 = 12^2 - 6^2
  • (adjacent leg)^2 = 144 - 36
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Now, as we just need the adjacent leg, we take the square root of both sides:

  • adjacent leg = \sqrt{108}
  • <u>adjacent leg = 10.392 approximately</u>.

Now, with these data, we can find the area of the triangle with the next formula:

  • Area of a triangle = (base * height) / 2
  • And we replace the measurements:
  • Area of a triangle = (6 * 10.392) / 2
  • <u>Area of a triangle = 31.176</u>

As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.

4 0
2 years ago
3(a+1.5)= -1.5 what does a equal
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Answer:

-2

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3(a+1.5)=-1.5

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