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Tema [17]
2 years ago
7

How can i use the slope formula to find the slope between (2, -7) and (1, 6)

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
7 0

Answer:

To find the slope using the formula, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

- The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

<u><em>Tell me if you want the answer of what the slope is.</em></u> Although, it would be better for you to work it out yourself!

Hope that helps. x

meriva2 years ago
6 0

Answer:

-13

Step-by-step explanation:

gradient = change in y/change in x

change in y = 6- -7=13

change in x = 1-2 = -1

gradient = 13/-1 = -13

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Zepler [3.9K]

For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

  • Equal signs are added and the same sign is placed.
  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

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4 years ago
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konstantin123 [22]

Answer:

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Step-by-step explanation:

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2 years ago
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xxTIMURxx [149]

Answer:

(1-\sqrt{2})a^2

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

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Thus,

MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a

Consider isosceles triangle MSC. In this triangle

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The area of this triangle is

A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}

Consider right triangle PTS. The area of this triangle is

A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2

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Answer:

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