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zvonat [6]
3 years ago
6

Which of the following are possible values of r?

rac%7B3%7D%7B16%7D%20" id="TexFormula1" title=" {r}^{2 } = \frac{3}{16} " alt=" {r}^{2 } = \frac{3}{16} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
marshall27 [118]3 years ago
5 0

Answer:

r=\frac{\sqrt{3} }{4}    and    r=-\frac{\sqrt{3} }{4}

Step-by-step explanation:

when you solve for r in the given equation, you need to apply the square root property, which gives positive and negative answers (both should therefore be considered):

r^2=\frac{3}{16} \\r=+/-\sqrt{\frac{3}{16}} \\r=+/-\frac{\sqrt{3} }{4}

then you need to include these two possible solutions:

r=\frac{\sqrt{3} }{4}    and    r=-\frac{\sqrt{3} }{4}

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