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allochka39001 [22]
3 years ago
13

State the extremes of the proportion below. 4/7=12/x

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
7 0

\frac{4}{7}  =  \frac{12}{x}  \\  \\ 1. \:  \frac{4}{7}x  = 12 \\  \\ 2. \:  \frac{4x}{7}  = 12 \\  \\ 3. \: 4x = 12 \times 7 \\  \\ 4. \: 4x = 84 \\  \\ 5. \: x =  \frac{84}{4}  \\  \\ 6. \: x = 21

Stels [109]3 years ago
4 0

Answer:

x=21

Step-by-step explanation:

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check the picture below.

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\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

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