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
Step-by-step explanation:
Co-ordinates of National geographic museum; (0,0)
Int. spy musuem; (1.22,-0.91)
White house; (0,-0.91)
a)-
![\begin{gathered} (x-0)/(1.22-0)=(y-0)/(-0.91-0)\Rightarrow-91x=122y \\ \\ 91x+122y=0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cyjeh7jati6zlsgshj8evdk402qix7snlc.png)
b)-
![\begin{gathered} slope\text{ of 91x+122y=0} \\ \\ is(-91)/(122) \\ \\ let\text{ slope of 2nd point be m}\Rightarrow m(-(91)/(122))=(-1) \\ \\ m=(122)/(91) \\ \\ eqn:(y+0.91)=(122)/(91)(x-0)\Rightarrow91y+(91^2)/(100)=122a \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ip6d60lz1kqyvfx94epj8pp9hxca79xq03.png)
c)-
![\begin{gathered} asha\text{ turns at intersectionpt. of } \\ \\ i)-91x+122y=0 \\ \\ ii)-91y+(91)/(100)^2=122x \\ \\ which\text{ is \lparen x,y\rparen}\approx(0.436;-0.325) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ws3865uss6pk9j8vpxlivvdxkjzb310ea5.png)
d)-
![\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=√((0.436)^2+(0.325)^2) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f4y2yi94jm6j1lra797zf48huta1iu1mkv.png)
Required answer:
Above explanation