3 years ago

{3x + 4y = 36 {y = -1/2x + 8

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

−

Step-by-step explanation:

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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:

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

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

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3 years ago

|2x + 5| = 13 please show work

gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

-5 -5

|2x| = 8

2x/2 8/2

|x| = 4

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Georgia needs to buy some cheese. An 8-ounce package of

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