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Mathematics, 16.12.2020 07:20 bayleeharris8p78txa
Which equation represents the line that has a slope of 1/2 and contains the point (0,3)
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Answers: 1
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Answer from: Quest
x =±sqrt(1/3)
step-by-step explanation:
x+4/6x=1/x
multiply each side by 6x to get rid of the fractions
6x*(x+4/6x)=1/x*6x
distribute
6x^2 +4 = 6
subtract 4 from each side
6x^2 +4-4 = 6-4
6x^2 =2
divide by 6
6x^2/6 = 2/6
x^2 = 1/3
take the square root of each side
sqrt(x^2) = ±sqrt(1/3)
x =±sqrt(1/3)
![ansver](/tpl/images/cats/User.png)
Answer from: Quest
we have three similar triangles, because each has a right angle and shares an angle. let's write the angles in order: opposite to short leg, long leg, hypotenuse.
cab similar to bad similar to cbd
or as ratios,
ca: ab: cb = ba: ad: bd = cb: bd: cd
we also know
ac = ad + cd
(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd
(ad+cd)/cb=cb/cd
we have cb=6, ad=5 and seek x=cd.
we reject the negative root and conclude x=4
answer: 4
![If bc = 6 and ad = 5, find dc. a) 4 b) 4.5 c) 7.2](/tpl/images/05/01/aSKUPngOWnr7g4U2.jpg)
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Answer from: Quest
i don't think there is enough
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Which equation represents the line that has a slope of 1/2 and contains the point (0,3)...
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