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2 years ago

Angela says that 6.25 is 1/100 the value of 625. Write an explanation to support Angela's statement.

Mathematics

2 answers:

gladu [14]2 years ago

6 0

Answer:

6.25 times 100 will equal to 625. When you multiply by 100, you can move the decimal two spaces to the right since there are two zeros, and you get 625.

Step-by-step explanation:

I hope this helped you!

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Thank you so much! ;) :)

s2008m [1.1K]2 years ago

6 0

I’m pretty sure it’s because there’s a decimal, therefore 6 is a whole number while the .25 isn’t there yet

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<u>Answer:</u>

$x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i$ are two roots of equation $-3 x^{2}-x-3=0$

<u>Solution:</u>

Need to solve given equation using quadratic formula.

$-3 x^{2}-x-3=0$

General form of quadratic equation is $a x^{2}+b x+c=0$

And quadratic formula for getting roots of quadratic equation is

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

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Calculating roots of the equation we get

$\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}$

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$\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}$

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