3 years ago

What are the prime factors of 36 using exponents

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Answer: Prime factorization of 100 is 2 x 2 x 5 x 5 or 22 x 52

Prime factorization of 76 is 2 x 2 x 19 or 22 x 191

Prime factorization of 50 is 2 x 5 x 5 or 2 x 52

Prime factorization of 48 is 2 x 2 x 2 x 2 x 3 or 24 x 31

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Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

aleksley [76]

Answer:

Step-by-step explanation:

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

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