Answer:
Step-by-step explanation:
The slope of the line needs to be determined first:
![m=\frac{-9+-5}{-12+-8}=\frac{-14}{-20}=\frac{7}{10}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-9%2B-5%7D%7B-12%2B-8%7D%3D%5Cfrac%7B-14%7D%7B-20%7D%3D%5Cfrac%7B7%7D%7B10%7D)
Now let's use that and one of the coordinates to write an equation in point-slope form:
![y-5=\frac{7}{10}(x-8)](https://tex.z-dn.net/?f=y-5%3D%5Cfrac%7B7%7D%7B10%7D%28x-8%29)
and, simplifying,
![y-5=\frac{7}{10}x-\frac{56}{10}](https://tex.z-dn.net/?f=y-5%3D%5Cfrac%7B7%7D%7B10%7Dx-%5Cfrac%7B56%7D%7B10%7D)
Now let's multiply everything by 10 to get rid of the fractions:
10y - 50 = 7x - 56
and
-7x + 10 y = -6
Apparently, they do not like to lead with negatives, which is not uncommon:
7x - 10y = 6
So his model is not correct.
Here, we need to set up the ratios.
height / width = 3 / 4
So, what is the width if the height is 4.5?
4.5 / width = 3/ 4
Cross multiply
18 = 3 width
6 = width
Answer:
![\boxed{h=\dfrac{5}{18}}](https://tex.z-dn.net/?f=%5Cboxed%7Bh%3D%5Cdfrac%7B5%7D%7B18%7D%7D)
Step-by-step explanation:
![\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}](https://tex.z-dn.net/?f=%5Ctextsf%20%7B%24%5Cdfrac%7B1%7D%7B2%7D%20-%20h%24%20%3D%20%24%5Cdfrac%7B2%7D%7B9%7D%24%7D)
1. Subact
from both sides:
![\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}](https://tex.z-dn.net/?f=%5Ctextsf%20%7B%24%5Cdfrac%7B1%7D%7B2%7D%20-%20h%24%20%3D%20%24%5Cdfrac%7B2%7D%7B9%7D%24%7D%5C%5C%5C%5C%5Ctextsf%20%7B%24%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D%20-%20h%24%20%3D%20%24%5Cdfrac%7B2%7D%7B9%7D%20-%5Cdfrac%7B1%7D%7B2%7D%24%7D%5C%5C%5C%5C%5Ctextsf%20%7B%24-h%24%20%3D%20%24%5Cdfrac%7B4-9%7D%7B18%7D%24%7D%5C%5C%5C%5C%5Ctextsf%20%7B%24-h%24%20%3D%20%24%5Cdfrac%7B-5%7D%7B18%7D%24%7D)
2. Divide both sides by -1
![\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}](https://tex.z-dn.net/?f=%5Ctextsf%20%7B%24-h%24%20%3D%20%24%5Cdfrac%7B-5%7D%7B18%7D%24%7D%5C%5C%5Cdiv%20-1%20%20%5Cdiv-1%5C%5C%5C%5C%20%5Cboxed%7Bh%3D%5Cdfrac%7B5%7D%7B18%7D%7D)
Final answer: ![\boxed{h=\dfrac{5}{18}}](https://tex.z-dn.net/?f=%5Cboxed%7Bh%3D%5Cdfrac%7B5%7D%7B18%7D%7D)
Hope this helps!
Answer:
Point A
Step-by-step explanation:
3 equals 9, since the number you multiply each number with decreases by one with each pssing.