Answer:
I tried but I couldn't figure it out sorry
Let's begin by listing out the information given to us:
![(x,y)=(-5,-8)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28-5%2C-8%29)
This is perpendicular to the line
![y=\frac{5}{4}x+10](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B4%7Dx%2B10)
The equation is already in the slope-intercept form:
![\begin{gathered} y=\frac{5}{4}x+10 \\ slope(m)=\frac{5}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%5Cfrac%7B5%7D%7B4%7Dx%2B10%20%5C%5C%20slope%28m%29%3D%5Cfrac%7B5%7D%7B4%7D%20%5Cend%7Bgathered%7D)
The slope of the parallel line is given by:
![\begin{gathered} m(perpendicular)=-\frac{1}{m} \\ m=\frac{5}{4} \\ m(perpendicular)=-\frac{1}{\frac{5}{4}}=-\frac{4}{5} \\ m(perpendicular)=-\frac{4}{5}=-0.8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20m%28perpendicular%29%3D-%5Cfrac%7B1%7D%7Bm%7D%20%5C%5C%20m%3D%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20m%28perpendicular%29%3D-%5Cfrac%7B1%7D%7B%5Cfrac%7B5%7D%7B4%7D%7D%3D-%5Cfrac%7B4%7D%7B5%7D%20%5C%5C%20m%28perpendicular%29%3D-%5Cfrac%7B4%7D%7B5%7D%3D-0.8%20%5Cend%7Bgathered%7D)
We proceed by substituting the values of x & y into the new equation, we have:
Answer:
5/36yd
Step-by-step explanation:
(1/9) / (4/5)
Dividing by a fraction is the same as multiplying by its reciprocal (swap the top and bottom)
(1/9) * (5/4) = 5/36
These don't have a common factor bigger than 1 so can't be simplified