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Igoryamba
3 years ago
7

Find the coordinates of the midpoint of the segment joining the given points (0,2) and (6,4)

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

The coordinates of the midpoint are the average of the coordinates of the given points.

So, the x coordinate of the midpoint is the average of the x coordinates of the given point:

\dfrac{0+6}{2} = \dfrac{6}{2} = 3

And similarly, the y coordinate of the midpoint is the average of the y coordinates of the given point:

\dfrac{2+4}{2} = \dfrac{6}{2} = 3

So, the midpoint is the point (3,3)

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Grade 12<br>mathematics<br>(√98-√50)² ​
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Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

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3 years ago
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