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olga nikolaevna [1]
2 years ago
7

Are the ratios 6:4 and 19:12 equivalent?

Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Answer: No, they are not.

Step-by-step explanation: To see if ratios are equivalent, you have to simplify them. 6:4 can be simplified to 3:2 but 19:12 cannot be simplified anymore. Since 3:2 is not equal to 19:12, they are not equivalent.

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6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}


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