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slava [35]
3 years ago
12

Find the distance between the two points. Ro - (-5, 6) (3,2) ​

Mathematics
2 answers:
Ugo [173]3 years ago
5 0

Answer:

d=4\sqrt{5}

Step-by-step explanation:

d=\sqrt{(3-(-5)^{2} +(2-6)^{2}

d=\sqrt{(3+5)^{2} +(2-6)^{2} }\

d=\sqrt{64+16}

d=\sqrt{80}

d=4\sqrt{5}

sergey [27]3 years ago
3 0

Answer: 4√5

Step-by-step explanation:

d = √ (x2 - x1)^2 + (y2 + y1)^2

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\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).

\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}

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3 years ago
Read 2 more answers
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