Answer:
. It means AC is perpendicular to AB.
Step-by-step explanation:
Vertices of given triangle are A(−2, −2), B(5, −2), and C(−2,22).
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using distance formula we get
![AB=\sqrt{(5-(-2))^2+(-2-(-2))^2}=\sqrt{7^2}=7](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%285-%28-2%29%29%5E2%2B%28-2-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%7D%3D7)
![BC=\sqrt{(-2-5)^2+(22-(-2))^2}=\sqrt{7^2+24^2}=\sqrt{625}=25](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%28-2-5%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B7%5E2%2B24%5E2%7D%3D%5Csqrt%7B625%7D%3D25)
![AC=\sqrt{(-2-(-2))^2+(22-(-2))^2}=\sqrt{24^2}=24](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%28-2-%28-2%29%29%5E2%2B%2822-%28-2%29%29%5E2%7D%3D%5Csqrt%7B24%5E2%7D%3D24)
According to Pythagoras theorem
![hypotenuse^2=perpendicular^2+base^2](https://tex.z-dn.net/?f=hypotenuse%5E2%3Dperpendicular%5E2%2Bbase%5E2)
![(BC)^2=(AC)^2+(AB)^2](https://tex.z-dn.net/?f=%28BC%29%5E2%3D%28AC%29%5E2%2B%28AB%29%5E2)
Perpendicular = AC
Base = AB
It means AC is perpendicular to AB.
Hence proved.
Answer:
Step-by-step explanation:
the mean would be 40+3= 43
the standard deviation wouldn't change
mean= 43
standard deviation= 5
Answer:
The monthly cost be if you typically talk for 550 minutes per month would be 28.
Step-by-step explanation:
The monthly cost is function of the time t, in minutes, is given by the following equation.
![C(t) = C_{0} + at](https://tex.z-dn.net/?f=C%28t%29%20%3D%20C_%7B0%7D%20%2B%20at)
In which
is the fixed cost and a is the cost of the minute.
pt&t has a special plan offer this month. there is a 6.00 per month charge each month and calls everywhere in the united states are 0.04 per minute.
This means that
. So
![C(t) = C_{0} + at](https://tex.z-dn.net/?f=C%28t%29%20%3D%20C_%7B0%7D%20%2B%20at)
![C(t) = 6 + 0.04t](https://tex.z-dn.net/?f=C%28t%29%20%3D%206%20%2B%200.04t)
what would the monthly cost be if you typically talk for 550 minutes per month
This is C(550).
![C(550) = 6 + 0.04*550 = 28](https://tex.z-dn.net/?f=C%28550%29%20%3D%206%20%2B%200.04%2A550%20%3D%2028)
The monthly cost be if you typically talk for 550 minutes per month would be 28.
The values are given as
<span>2005 2.63
2006 3.26
2007 3.54
2008 3.769
2009 2.13
2010 2.956
2011 4.259
2012 4.16
2013 3.78
2014 3.99
2015 3.10</span>
where left side is the year (x) and right side is the value (y)
The smallest value of y is = 2.13; biggest value is = 4.259 (RANGE)
Domain is (2003 to 2015)
It seems that the equation will not be linear because as the year increases, the value of y is unstable.