Answer:
Step-by-step explanation:
![2X-\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] =\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right]\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] +\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right])\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4+2&8-2\\2+8&-2+5\end{array}\right] )\\X=\frac{1}{2} (\left[\begin{array}{ccc}-2&6\\10&3\end{array}\right] )\\X= (\left[\begin{array}{ccc}\frac{1}{2}(-2)&\frac{1}{2}(6)\\\frac{1}{2}(10)&\frac{1}{2}(3)\end{array}\right] )\\](https://tex.z-dn.net/?f=2X-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%2B2%268-2%5C%5C2%2B8%26-2%2B5%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%266%5C%5C10%263%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B2%7D%28-2%29%26%5Cfrac%7B1%7D%7B2%7D%286%29%5C%5C%5Cfrac%7B1%7D%7B2%7D%2810%29%26%5Cfrac%7B1%7D%7B2%7D%283%29%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5C)
![X= (\left[\begin{array}{ccc}-1&3\\5&3/2\end{array}\right] )](https://tex.z-dn.net/?f=X%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C5%263%2F2%5Cend%7Barray%7D%5Cright%5D%20%29)
Answer:
See the attached document
Answer:
520 miles
Step-by-step explanation:
You take distance divided by time so 260/4 = 65(mph) so 65(mph) multiplied by 8 hours which is 520 miles
Hope that helps
Step-by-step explanation:
You can use the Pick's theorem:
where
<em>i</em><em> - number of lattice points in the interior located in the polygon</em>
<em>b</em><em> - number of lattice points on the boundary placed on the polygon's perimeter</em>
<em />
I must assume that you meant the following:
10(Q-3R)
P = ----------------
R
Multiplying both sides by R, we get PR = 10R(Q-3R), or PR = 10RQ - 30R^2.
Rearranging these terms so that powers of R are in descending order:
30R^2 - 10RQ + PR = 0
Factoring out R, we get
R(30R - 10Q + P) = 0. This has two solutions:
R = 0, and 10Q - P
30R = 10Q - P, so that R = --------------
30
