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Stella [2.4K]
3 years ago
6

Which is the solution set of 6x^2-24=0○(-2,2)○(-2)○(2)

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
Rewrite  <span>6x^2-24=0  as 6(x^2-4)= 0 and then factor x^2-4:

6(x-2)(x+2)= 0.  The solutions are {-2,2}.</span>
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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
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Answer:

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Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

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