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Mashcka [7]
4 years ago
12

Find the length of HJ

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
4 0

Answer:

<h2>HJ = 17</h2>

Step-by-step explanation:

The equation:

2 + HI + 12 = 7 + 12

HI + 14 = 19             <em>subtract 14 from both sides</em>

HI = 5

HJ = HI + 12

Substitute the value of HI:

HJ = 5 + 12 = 17

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Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================

\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10

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