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Slav-nsk [51]
3 years ago
6

Given the table on the right, what is the slope?

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

Answer:

hi

Step-by-step explanation:

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Determined to find the slope<br>(1 7K), and (-3,5K)​
Helga [31]

Answer: \dfrac{K}{2} .

Step-by-step explanation:

As we know ,

The slope of a line that passes through (x_1,y_1) and (x_2,y_2)  is given by :

\dfrac{y_2-y_1}{x_2-x_1}

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}

Hence, the slope of the given line is \dfrac{K}{2} .

8 0
3 years ago
LESSON 8 SESSION 4<br> What is the slope of this line
Leni [432]
C. 3/4 is the right answer
8 0
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
  • (adjacent leg)^2 = 108

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
1/2 (6x-10) - x =<br><br> What's the other side of the equation?
LiRa [457]

Answer:

Step-by-step explanation:

1/2 (6x-10) - x

Opening bracket

= 6x/2 - 10/2 - x

= 3x - 5 - x

= 2x - 5

4 0
3 years ago
Convert 0.00001 to a power of 10.
kolezko [41]

Answer:

10^-5

Step-by-step explanation

Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.

6 0
3 years ago
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