$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
center~~(\stackrel{}{{{ h}}},\stackrel{}{{{ k}}})\qquad \qquad 
radius=\stackrel{}{{{ r}}}\\\\
-------------------------------\\\\
(x-5)^2+(y+3)^2=16\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-3})]^2=\stackrel{r~~2}{4}$

4 0

3 years ago

4. solve<br> e) 4^x-10.2^x+16=0<br> I think the dot means multiply?

suter [353]

$4^x-10\cdot2^x+16=0\Rightarrow(2^2)^x-10\cdot2^x+16=0\Rightarrow(2^x)^2-10\cdot2^x+16=0$

$subtitute\ 2^x=t > 0\\\\t^2-10t+16=0\\t^2-2t-8t+16=0\\t(t-2)-8(t-2)=0\\(t-2)(t-8)=0\iff t-2=0\ or\ t-8=0\\\\t=2\ or\ t=8\\\\t=2^1\ or\ t=2^3\\\\therefore\ 2^x=2^1\ or\ 2^x=2^3\\\\Answer:\boxed{x=1\ or\ x=3}$

6 0

3 years ago

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Whats the best definition<br> of slope

yanalaym [24]

Answer:

The slope of a line is a number that defines the direction + steepness of a linear function. It can be found using the formula rise/run.

Step-by-step explanation:

Not sure how to explain this otherwise but that is what the slope is. ^

8 0

3 years ago

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