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Lelu [443]
3 years ago
8

What is 9/16 x 2/3 (show ur work) thanks

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

\displaystyle{ \frac{9}{16} \times  \frac{2}{3}  }

\displaystyle{ \frac{9 \times 2}{16 \times 3} }

\displaystyle{ \frac{18}{48} }

\displaystyle{ \frac{ \cancel2 \times  \cancel3 \times 3}{2 \times  \cancel2 \times 2 \times 2 \times  \cancel3} }

\displaystyle{ \frac{3}{2 \times 2 \times 2} }

\displaystyle{ \frac{3}{8} }

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\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

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