2 years ago

Solve this equation 5x+17= 42

Mathematics

2 answers:

kolezko [41]2 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

5x+17= 42

Subtract 17 from each side

5x+17-17= 42-17

5x = 25

Divide each side by 5

5x/5 = 25/5

x = 5

sergey [27]2 years ago

4 0

Answer:

x = 5

Step-by-step explanation:

5x + 17 = 42

5x = 25

x = 5

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Consider the line 5x-8y=8 what is the slope of a line perpendicular to this line what is the slope of a line parallel to this li

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$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}$