Answer:
(2r - 8)(2r + 8).
Step-by-step explanation:
4r2 – 64
This is the difference of 2 squares so we take the square root of 4r2 and 64 and write:
= (2r - 8)(2r + 8).
keeping in mind that
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D)
x = percent rate for the 17000 investment.
y = percent rate for the 11000 investment.
so the amount for the 17000 interest will just be (x/100) * 17000, or namely 170x.
and the amount of interest earned for the 11000 is (y/100) * 11000, or just 110y.
now, regardless of what "x" and "y" are, we know that the interest from the 17000 is higher by 308 bucks, therefore 170x = 110y + 308.
we also know that the rate of <u>x</u> is higher as well than <u>y</u> by 0.4%, so then x = y + 0.4.
![\bf \begin{cases} 170x=110y+308\\ \boxed{x}= y +0.4\\[-0.5em] \hrulefill\\ 170\left( \boxed{y+0.4} \right)=110y+308 \end{cases} \\\\\\ 170y+68=110y+308\implies 60y=240\implies y=\cfrac{240}{60}\implies \blacktriangleright y=\stackrel{\%}{4} \blacktriangleleft \\\\\\ x=y+0.4\implies \blacktriangleright x=\stackrel{\%}{4.4} \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20170x%3D110y%2B308%5C%5C%20%5Cboxed%7Bx%7D%3D%20y%20%2B0.4%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20170%5Cleft%28%20%5Cboxed%7By%2B0.4%7D%20%5Cright%29%3D110y%2B308%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20170y%2B68%3D110y%2B308%5Cimplies%2060y%3D240%5Cimplies%20y%3D%5Ccfrac%7B240%7D%7B60%7D%5Cimplies%20%5Cblacktriangleright%20y%3D%5Cstackrel%7B%5C%25%7D%7B4%7D%20%5Cblacktriangleleft%20%5C%5C%5C%5C%5C%5C%20x%3Dy%2B0.4%5Cimplies%20%5Cblacktriangleright%20x%3D%5Cstackrel%7B%5C%25%7D%7B4.4%7D%20%5Cblacktriangleleft)
Answer:
Yes,they do.
Step-by-step explanation:
A triangle base with sides 9,12, and 15 is a right triangle.
<h3>Answer: 3136 feet</h3>
===========================================
Explanation:
Plug in t = 6. In other words, replace every copy of t with 6. Afterward, you use PEMDAS to simplify
h(t) = -16t^2+192t+2560
h(6) = -16(6)^2+192(6)+2560 ... every t replaced with 6
h(6) = -16(36)+192(6)+2560
h(6) = -576+1152+2560
h(6) = 576+2560
h(6) = 3136