radix

Guten Abend Anonymous und asinus,

zur Veranschaulichung der Sinusfunktion habe ich zwei  Animationen für euch:

Bitte durchlesen:

Hallo Anonymous,

$${{\mathtt{2}}}^{{\mathtt{4}}}$$ ist eine Potenzschreibweise  und bedeutet   2 * 2 * 2 * 2 = 16 

 $${{\mathtt{2}}}^{{\mathtt{4}}}$$             =     16

Potenz               Potenzwert             2  ist die Basis und  die 4 der Exponent.

Zum Üben:

Hi Anonymus !

Danke für den Hinweis. Ich habe in meiner Antwort korrigiert !

Ich stelle fest, meine Sehkraft lässt nach. Ich war auch schon beim Augenarzt .

Ich danke dir auch für die beiden Antworten !

Gruß radix !

Weshalb macht das keinen Sinn ?

x + y = 6        und     y = x + 2

eingesetzt:     x + x + 2 = 6

                          2x + 2 = 6               |  - 2

                                 2x = 4              | : 2

                                   x = 2

Danke Anonymous, ich hatte das winzige Minuszeichen übersehen ! SORRY !

Dann macht die Aufgabe wirklich keinen Sinn:

x  - x + 2 = 6      =>   0 + 2 = 6     =>    0 = 4          oder    2 = 6

Gruß radix !

Antwort 2 /5 :

$${\mathtt{S}} = {\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,\times\,}}{\mathtt{L}}{\mathtt{\,\small\textbf+\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}}$$         | - ( $${\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}}$$ )

 $${\mathtt{S}}{\mathtt{\,-\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}} = {\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}{\mathtt{\,\times\,}}{\mathtt{L}}$$        |   :  ( $${\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}$$ )

$${\mathtt{L}} = {\frac{\left({\mathtt{S}}{\mathtt{\,-\,}}{\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}}\right)}{\left({\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}\right)}}$$    =  $${\frac{{\mathtt{S}}}{\left({\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{r}}\right)}}{\mathtt{\,-\,}}{\mathtt{r}}$$

Antwort 2/2:

$${\frac{{\mathtt{3}}}{{\mathtt{x}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{x}}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{2}}$$         |  *x

3 + 2 -x  = 2x         =>     5 = 3x      =>    $${\mathtt{x}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}} = {\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$  = $$1\frac{2}{5}$$

Antwort 2/3: 

28<4*(5-2x)       =>     28 < 20 - 8x       =>     8 < -8x    mal (-1)   aus  <  wird >

                                                                         8 > 8x      =>   1 > x    =>   x < 1

Gruß radix !

Hallo Anonymous,

hier die Antwort 2 ! Es handelt sich um die  dritte binomische Formel :

4x² - 9y² = (2x+3y) * (2x-3y)

Do you mean this:

(10/14) / (6/7) =   $${\frac{\left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{7}}}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}} = {\mathtt{0.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

$${\frac{\left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right)}{\left({\frac{{\mathtt{6}}}{{\mathtt{7}}}}\right)}} = \left({\frac{{\mathtt{10}}}{{\mathtt{14}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{7}}}{{\mathtt{6}}}}\right)$$   =    $${\frac{\left({\mathtt{10}}{\mathtt{\,\times\,}}{\mathtt{7}}\right)}{\left({\mathtt{14}}{\mathtt{\,\times\,}}{\mathtt{6}}\right)}} = {\frac{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{1}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}}$$

(5+1/2) * (4+3/8) = 11/2 * 35/8 =

$$\left({\frac{{\mathtt{11}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{35}}}{{\mathtt{8}}}}\right) = {\frac{{\mathtt{385}}}{{\mathtt{16}}}} = {\mathtt{24.062\: \!5}}$$

$$\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,\times\,}}\left({\mathtt{4}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{3}}}{{\mathtt{8}}}}\right) = {\frac{{\mathtt{385}}}{{\mathtt{16}}}} = {\mathtt{24.062\: \!5}}$$