Radius (R) is equal to the distance between the points (-2,1) and <span>(3,1)
R</span>² = (-2 - 3)² + (1 - 1)² = (-5)² + 0 = 25
R = 5
<span>Equation of the circle:
</span>(х-(-2))² + (у-1)² = 5²
(х+2)² + (у-1)² = 25
Lauren =l
David=d
Bethany's =x
Amanda =y
l=x+13
d=y+11
lx=2y
<span>(x+13)x=2y
</span>
or
(x-20)(l-20)=d
<span>(x-20)(x+13-20)=y+11 </span><span>
</span>
so I believe its b
Hope this helps :)
In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).
If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.
<em>Answer:</em>
<em>1/36</em>
<em>Step-by-step explanation:</em>
<em>²⁾5/18 - ⁹⁾1/4 =</em>
<em>= 10/36 - 9/36</em>
<em>= 1/36</em>
First, lets transform the given vector into an unit vector (dividing by its module)
UnitVec = 4/5 i + 3/5 j
Then lets change this vector into a polar form
UnitVec = 1. with angle of 36.869 degrees taking as a reference the i vector
Then, the probem tells us that the vectors u and v make an angle of 45 degrees with UnitVec, so lets add+-45 to the vector in polar form
U = 1*[cos(36.869 +45)i + sin(36.869 +45)j] = 0.1414 i + 0.9899 j
V = 1*[cos(36.869 -45)i + sin(36.869 -45)j] = 0.9899 i - 0.1414 j
