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alexandr1967 [171]
2 years ago
14

Consider the line y = 1/4 - 5/4 x Slope of a parallel line Slope of a perpendicular line

Mathematics
1 answer:
gladu [14]2 years ago
7 0

Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other.  So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

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16-2n-5+8n=65 <br> Can you help me solve this please and show work as well?
lukranit [14]
<em>∙•❁ </em>Okay time to solve this Step-By-Step.<em>❁•∙ </em>

16−<span>2n</span>−5+<span>8n</span>=<span>65

<em>∙•❁ </em>So the first part we need to Simplify both sides of this equation, so:

<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65

<em>∙•❁ </em>We are going to simplify this Step-By-Step.

<span><span><span><span>16−<span>2n</span></span>−5</span>+<span>8n</span></span>=65

</span><span><span><span><span><span><span>16+</span>−<span>2n</span></span>+</span>−5</span>+<span>8n</span></span>=65

<em>∙•❁ </em>Combine like terms:
</span><span><span><span><span>
(<span><span>−2n</span>+8n</span>)</span>+<span>(<span>16+−5</span>)</span></span>=65 </span>

<span><span>6n+11</span>=65

</span><span><span><span>6n</span>+11</span>=65

<em>∙•❁ </em>Now subtract 11 from both sides.

<span><span><span><span>6n</span>+11</span>−11</span>=<span>65−11

</span></span><span><span>6n</span>=54

<em>∙•❁ </em>Now divide both sides by 6 and you'll get your answer:

6n/6=54/6

<em>∙•❁ </em>Your final answer is:

n=9

<em>∙•❁I hope this helps!❁•∙ </em> </span></span></span></span></span>
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Step-by-step explanation:

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