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Mathematics 24 Online
OpenStudy (anonymous):

help please?!?!

OpenStudy (anonymous):

Choose the value of the x determinant (Dx) in the following system. 4x + 2y = 5 x – 3y = 7

OpenStudy (ivettef365):

5(-3) = -15 7(2) = 14 -15-14 = ??

OpenStudy (jdoe0001):

hmmm, I'm assuming is matrices, the Dx as in Cramer's rule

OpenStudy (ivettef365):

correct 5 2 7 -3

OpenStudy (jdoe0001):

$$ \bf \left[ \begin{matrix} 4& 2& |\color{red}{5}\\ 1& -3 &|\color{red}{7} \end{matrix} \right] D_x = \left[ \begin{matrix} \color{red}{5}&2\\ \color{red}{7}& -3 \end{matrix} \right] $$

OpenStudy (anonymous):

-29?

OpenStudy (ivettef365):

correct

OpenStudy (anonymous):

how about this one too sorry: Simplify the expression the root of negative twenty five all over the quantity of five minus two I plus the quantity of one minus four i.

OpenStudy (jdoe0001):

\(\bf \cfrac{\sqrt{-25}}{5-2+1-i} \ \ \ ?\)

OpenStudy (jdoe0001):

you can always use the white board :)

OpenStudy (anonymous):

on the bottom it's (5-2i)+(1-4i)

OpenStudy (anonymous):

do you rationalize the denominator first?

OpenStudy (jdoe0001):

\(\bf \cfrac{\sqrt{-25}}{(5-2i)+(1-4i)}\) then

OpenStudy (anonymous):

yes exactly sorry

OpenStudy (jdoe0001):

well, yes, you'd need to rationalize the denominator

OpenStudy (anonymous):

is the answer -5+5i/12

OpenStudy (jdoe0001):

checking

OpenStudy (jdoe0001):

yes

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