4 years ago

Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.

Mathematics

1 answer:

xz_007 [3.2K]4 years ago

6 0

Y=-2/5x + 20, I put in the 10 for x and -5 for y and then solved that to find +20, hope this helps :)

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7(square root 14) divided by (square root 7)

Blababa [14]

The question given above will require a good understanding of surd operation in order to arrive at the best answer

$\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}$

To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:

$\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}$