3 years ago

Are the ratios 6:18 and 2:6 equivalent?

Mathematics

2 answers:

Ksju [112]3 years ago

7 0

Yes because 6/18=1/3 and 2/6=1/3. Then 6/18=2/6

viktelen [127]3 years ago

3 0

Treat them like fractions. Ratios are just fractions in a different form.

$\frac{6}{18} and \frac{2}{6}$

You can simplify 6/18. Find common factors. 2, 3, 6

Let's try and divide the top and bottom (numerator and denominator) by 3.
Then you get 2/6.
2/6 is equivalent to 2/6

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igomit [66]

Answer:

$\large\boxed{x=-\dfrac{7-\sqrt{97}}{4}\ \vee\ x=-\dfrac{7+\sqrt{97}}{4}}$

Step-by-step explanation:

$ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{We have:}\\\\-2x^2-7x+10=4\qquad\text{subtract 4 from both sides}\\\\-2x^2-7x+6=0$

$a=-2,\ b=-7,\ c=6\\\\\Delta=(-7)^2-4(-2)(6)=49+48=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x=\dfrac{-(-7)\pm\sqrt{97}}{2(-2)}=\dfrac{7\pm\sqrt{97}}{-4}=-\dfrac{7\pm\sqrt{97}}{4}$