Answer:
z^2 - 8z + 15
Step-by-step explanation:
hope this helps <3
I’m not sure but i don’t think their similar at all. they do have one angle that is shared between both triangles but the lengths of their sides aren’t proportional
Given:
Initial value of the stock = $100
Growth factor = 1.5 each week.
To find:
The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.
Solution:
Let V be the current value of the stock after t week.
The exponential growth model is:

Where, a is the initial value of stock, b is the weekly growth factor, t is the number of weeks.
Substituting
, we get

Therefore, the required equation for the given situation is
.
![\stackrel{\textit{\LARGE Line A}}{(\stackrel{x_1}{-8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{4 -5}{-5 +8}\implies -\cfrac{1}{3} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5CLARGE%20Line%20A%7D%7D%7B%28%5Cstackrel%7Bx_1%7D%7B-8%7D~%2C~%5Cstackrel%7By_1%7D%7B5%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B-5%7D~%2C~%5Cstackrel%7By_2%7D%7B4%7D%29%7D%20~%5Chfill%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%20%7B%5Cstackrel%7By_2%7D%7B4%7D-%5Cstackrel%7By1%7D%7B5%7D%7D%7D%7B%5Cunderset%7Brun%7D%20%7B%5Cunderset%7Bx_2%7D%7B-5%7D-%5Cunderset%7Bx_1%7D%7B%28-8%29%7D%7D%7D%20%5Cimplies%20%5Ccfrac%7B4%20-5%7D%7B-5%20%2B8%7D%5Cimplies%20-%5Ccfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

keeping in mind that perpendicular lines have negative reciprocal slopes, and that parallel lines have equal slopes, well, those two slopes above aren't either, so since they're neither, and they're different, that means that lines A and B intersect.