Could you put down the question and answers?
4(2x +5) = (8x + 20)
8x =20 is an equivalent expression
0.24 as a fraction equals 6/25
To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,
![\begin{gathered} AC^2=AB^2+BC^2_{} \\ =120^2+50^2 \\ =14400+2500 \\ =16900 \\ =130\text{ km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AC%5E2%3DAB%5E2%2BBC%5E2_%7B%7D%20%5C%5C%20%3D120%5E2%2B50%5E2%20%5C%5C%20%3D14400%2B2500%20%5C%5C%20%3D16900%20%5C%5C%20%3D130%5Ctext%7B%20km%7D%20%5Cend%7Bgathered%7D)
Hence, the distance between the new position and her home is 130 km.