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Liono4ka [1.6K]
3 years ago
14

5/9 on a number line

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Given:

The number is \dfrac{5}{9}.

To find:

The location of the given number on a number line.

Solution:

We have,

\dfrac{5}{9}

Here 0, so 0.

Mark 8 equidistant small lines between 0 to 1 on the number line to divide the number line in 9 equal parts. Then, the 5th mark represent the value  \dfrac{5}{9}.

The location of number \dfrac{5}{9} on a number line is shown below.

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot
mash [69]

Answer:

D(-2, 5).

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We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

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Recall that the midpoint is given by:

\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)

This yields two equations:

\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0

Solve for each:

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In conclusion, Point<em> </em>D = (-2, 5).

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3 years ago
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