Find the length of the perpendicular from the point (5,4) on the straight line 2x+y=34.

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written 4.6 years ago by

teamques10 ★ 64k

modified 2.1 years ago by

pedsangini276 • 4.7k

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3 Answers

699views

written 4.6 years ago by

teamques10 ★ 64k

Solution:

$p=\left|\frac{a x_{1}+b y_{1}+c}{\sqrt{a^{2}+b^{2}}}\right|$

$=\left|\frac{2(5)+1(4)-34}{\sqrt{(2)^{2}+(1)^{2}}}\right|$

$=\left|\frac{10+4-34}{\sqrt{5}}\right|$

$=\frac{20}{\sqrt{5}} OR 8.94$

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280views

written 4.6 years ago by

teamques10 ★ 64k

Solution:

$p=\left|\frac{a x_{1}+b y_{1}+c}{\sqrt{a^{2}+b^{2}}}\right|$

$=\left|\frac{2(5)+1(4)-34}{\sqrt{(2)^{2}+(1)^{2}}}\right|$

$=\left|\frac{10+4-34}{\sqrt{5}}\right|$

$=\frac{20}{\sqrt{5}} OR 8.94$

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139views

written 4.6 years ago by

teamques10 ★ 64k

Solution:

$p=\left|\frac{a x_{1}+b y_{1}+c}{\sqrt{a^{2}+b^{2}}}\right|$

$=\left|\frac{2(5)+1(4)-34}{\sqrt{(2)^{2}+(1)^{2}}}\right|$

$=\left|\frac{10+4-34}{\sqrt{5}}\right|$

$=\frac{20}{\sqrt{5}} OR 8.94$

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