asinus

graphic

What is the measure of ZWX?

angle ZWX = angle CWX

angle XCW = 41°

\(angle \ ZWX = angle \ CWX=\frac{180°-41°}{2}\)     Equal triangle

\(\large angle\ ZWX = 69.5°\)

\( The \ result \ is \ not \ in \ the \ proposed \ results.\)

  !

x 2 + 7x + 12. Factor the trinomial to find the length and width of the rectangle.

\(x ^2 + 7x + 12\\ =x^2+3x+4x+12\\=x(x+3)+4(x+3)\\\color{blue}=(x+3)(x+4)\)

The length of the rectangle is 4 units.

The width of the rectangle is 3 units.

  !

how do I factor this trinomial

x² + 13x + 36

\( x^ 2 + 13x + 36\\=x^2+9x+4x+36\\=x(x+9)+4(x+9)\)

\(=(x+9)(x+4)\)

  !

-^5squareroot 1024

\(\sqrt[5]{1024}=4\\because \ 4^5=1024\)

  !

How do i get tan ^ (-1)

\( tan ^{ (-1)} \alpha=\frac{1}{tan\alpha}\)

  !

Aber aber. Na na.

how do i do this

cos-1(8/17)

A)  \(cos^{ -1}(a) \ means \ arccos \ (a)\)    Normal pocket calculator

\(cos^{-1}(\frac{8}{17})=arccos(\frac{8}{17})=arccos (0.470588235)=61.93°\)

B)  \(cos^{ -1}(a) \ means \ \frac{1}{cos (a)}\)

\(\large cos^{-1}(\frac{8}{17}deg)=\frac{1}{cos(\frac{8}{17}deg)}=\frac{1}{1}=1\)

  !

what is 100/1.09765432

\(\frac{100}{1.09765432}=91.1033630333\)

Can someone explain substitution method when there are more than two parts?
ie)

\( 9m - 2n - 42 = 0 \)

and

5m - 2n - 26 = 0

\(9m - 2n - 42 = 0 \\m= \color{red}\frac{2n+42}{9}\)     

\(5m - 2n - 26 = 0\\5({\color{red}\frac{2n+42}{9}})-2n-26=0\\10n+210-18n-234=0\\-8n=24\\{\color{blue}n=-3}\)         [ substitute  \(m=\color{red}\frac{2n+42}{9}\)

\(9m - 2n - 42 = 0 \\9m-2(-3)-42=0\\9m=42-6\\m= \frac{36}{9}\\\color{blue}m=4\)

  !

was ist die quadradwurzel von 25

Meinst du das Parallelogramm? Dann ist die

Fläche = Grundlinie \(\times\) Höhe

  !

Oh sorry, ich habe die falsche Frage beantwortet.