Answer:
<h2>x = 5</h2><h2>OB = 36</h2><h2>BE = 54</h2>
Step-by-step explanation:
We know that the medians of the triangle divides in a ratio of 2:1. Therefore we have the equation:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
![9x-9=(2)(2x)+(2)(8)](https://tex.z-dn.net/?f=9x-9%3D%282%29%282x%29%2B%282%29%288%29)
<em>add 9 to both sides</em>
<em>subtract 4x from both sides</em>
<em>divide both sides by 5</em>
![\boxed{x=5}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D5%7D)
![OB=9x-9\to OB=9(5)-9=45-9=\boxed{36}](https://tex.z-dn.net/?f=OB%3D9x-9%5Cto%20OB%3D9%285%29-9%3D45-9%3D%5Cboxed%7B36%7D)
![OE=OB:2\to OE=36:2=18\to BE=BO+OE\to BE=36+18=54](https://tex.z-dn.net/?f=OE%3DOB%3A2%5Cto%20OE%3D36%3A2%3D18%5Cto%20BE%3DBO%2BOE%5Cto%20BE%3D36%2B18%3D54)
Area of a trapezoid is found with the formula, A=(a+b)/2 x h.
Answer:
WOMP WOMP WOMP!!!
Step-by-step explanation:
Answer:
gog(x)=9x-16
Step-by-step explanation:
We are given g(x)=3x-4 and are asked to find (gog) (x)
gog(x)=g(g(x))
g(x)=3x-4
Hence
g(g(x))=g(3x-4)
=3(3x-4)-4
=9x-12-4
=9x-16
Hence
gog(x)=9x-16
We analyze the linear function to find that it has equation
![y=x](https://tex.z-dn.net/?f=y%3Dx)
. Drawing the line, we find that it
will intersect the circle at negative and positive x-coordinates.We can prove this by
substituting ![y=x](https://tex.z-dn.net/?f=y%3Dx)
into the given equation:
![x^2+x^2=36](https://tex.z-dn.net/?f=x%5E2%2Bx%5E2%3D36)
![2x^2=36](https://tex.z-dn.net/?f=2x%5E2%3D36)
![x^2 = 18](https://tex.z-dn.net/?f=x%5E2%20%3D%2018)
![x = \pm 3\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%203%5Csqrt%7B2%7D)
Hence,
![x = 3\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%203%5Csqrt%7B2%7D)
or
![-\sqrt{2}](https://tex.z-dn.net/?f=-%5Csqrt%7B2%7D)
, so there are both positive and negative values for
![x](https://tex.z-dn.net/?f=x)
.