Respuesta :

Given:

Thesis and map is given

Required:

To calculate given questions

a)-To write the linear equation

b)-To find slope of the line

c)-To determine the location where asha turned

d)-To determine the distance asha walked

Explanation:

Co-ordinates of National geographic museum; (0,0)

Int. spy musuem; (1.22,-0.91)

White house; (0,-0.91)

a)-

[tex]\begin{gathered} \frac{x-0}{1.22-0}=\frac{y-0}{-0.91-0}\Rightarrow-91x=122y \\ \\ 91x+122y=0 \end{gathered}[/tex]

b)-

[tex]\begin{gathered} slope\text{ of 91x+122y=0} \\ \\ is\frac{-91}{122} \\ \\ let\text{ slope of 2nd point be m}\Rightarrow m(-\frac{91}{122})=(-1) \\ \\ m=\frac{122}{91} \\ \\ eqn:(y+0.91)=\frac{122}{91}(x-0)\Rightarrow91y+\frac{91^2}{100}=122a \end{gathered}[/tex]

c)-

[tex]\begin{gathered} asha\text{ turns at intersectionpt. of } \\ \\ i)-91x+122y=0 \\ \\ ii)-91y+\frac{91}{100}^2=122x \\ \\ which\text{ is \lparen x,y\rparen}\approx(0.436;-0.325) \end{gathered}[/tex]

d)-

[tex]\begin{gathered} let\text{ distance be d} \\ \\ d\text{ is the distance between \lparen0,0\rparen and \lparen x,y\rparen \lparen in C\rparen} \\ \\ so,d=\sqrt{(0.436)^2+(0.325)^2} \end{gathered}[/tex]

Required answer:

Above explanation

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