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ch4aika [34]
3 years ago
5

The pair of points is on the graph of an inverse variation. Find the missing value.

Mathematics
2 answers:
Ivanshal [37]3 years ago
6 0

Answer:

1.2

Step-by-step explanation:


LiRa [457]3 years ago
5 0
The x-value increases by a factor of 5 from 1.6 to 8 between the two points. Because the variation is inverse, the y-value must decrease by a factor of 5 between the two points.

6/5 = 1.2

The second point is (8, 1.2), corresponding to the 4th selection.

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Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

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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Answer:

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