2:1 write the next 3 equuvalent ratio

1 answer:

3 0

$2:1=\dfrac{2}{1}=\dfrac{2\cdot2}{1\cdot2}=\dfrac{4}{2}=4:2\\\\2:1=\dfrac{2}{1}=\dfrac{2\cdot3}{1\cdot3}=\dfrac{6}{3}=6:3\\\\2:1=\dfrac{2}{1}=\dfrac{2\cdot4}{1\cdot4}=\dfrac{8}{4}=8:4$

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$5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\$