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zysi [14]
3 years ago
11

I need help!!! 10points!!!

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

y = 37/5x + 9

Step-by-step explanation:

The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.

(5, 46) & (10, 83)

slope-intercept form: (y₂ - y₁) / (x₂ - x₁)

(83 - 46) / (10 - 5)

Simplify.

(37)/(5)

Your slope is 37/5.

y = 37/5x + b

To find b, plug in a point to x and y.

46 = 37/5(5) + b

46 = 37 + b

b = 9

Your equation is: y = 37/5x + 9

Check by plugging in the other point.

83 = 37/5(10) + 9

83 = 74 + 9

83 = 83

Your equation is correct.

Hope this helps!

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We try to represent each number inside the square root as a product of a square and another number.

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√32  = √(16 *2) = √16 * √2  = 4* √2 =  4√2

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√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6

√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6


2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)

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                                = 10√6  - 12√6 + 12√6        Factorize √6

                               =  (10 - 12 + 12)√6

                               =  10√6
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