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Bogdan [553]
3 years ago
14

If

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

The answer is

a =  \frac{11}{7}  \\ b =  \frac{6}{7}

Step-by-step explanation:

\frac{3 +  \sqrt{2} }{3 -  \sqrt{2} }  \times  \frac{3 +  \sqrt{2} }{3 +  \sqrt{2} }  \\  =  \frac{9 + 3 \sqrt{2}  + 3 \sqrt{2}  + 2}{9 - 3 \sqrt{2}  + 3 \sqrt{2}  - 2 }  \\  =  \frac{11 + 6 \sqrt{2} }{7}   \\  =  \frac{11}{7}  +  \frac{6}{7}  \sqrt{2}  \

In comparison

Then

a  = \frac{11}{7}  \\ b =  \frac{6}{7}

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2 years ago
What equation is graphed in this figure?
zzz [600]

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Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3

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Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in y - y_1 = m(x - x_1).

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The equation that is graphed in the figure is:

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