Equation fo a circle:
Data:
Center: C(x₀,y₀).
radius: r
(x-x₀)²+(y-y₀)²=r²
In this equation:
(x+4)²+(y-6)²=25
C(-4,6)
r²=25 ⇒r=√25=5
Then, it´s radius is 5.
If, we have got two points:
A(x₁,y₁)
B(x₂,y₂)
The distance beetween the points is:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²]
Then:
A(-6,7)
B(-1,-5)
dist(A,B)=√[(-1+6)²+(-5-7)²]
dist (A,B)=√(5²+12²)
dist (A,B)=√(25+144)
dist (A,B)=√169
dist (A,B)=13
the distance between the points (-6,7) and (-1,-5) is 13.
Answer:
36=3*2*1*6
36=6*6
Step-by-step explanation:
_/36=6
Hope this helped :)
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)
Over 5 weeks 20 reduction in waste removed.
Therefore 4 per week.
Therefore gradient -4w.
-4 x 5 + c = 60
-20 + c = 60
c = 80
dumpsters removed = d
weeks = w
d = 80 - 4w
The answer is D because when you insert it into a calculator it gives you D. Yet, if you do it manually you still get the same number .
