ANSWER
![\frac{5( \sqrt{11} + \sqrt{3} )} {8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%20%7B8%7D%20)
EXPLANATION
The given rational function is
![\frac{5}{ \sqrt{11} - \sqrt{3}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B%20%5Csqrt%7B11%7D%20-%20%20%5Csqrt%7B3%7D%7D%20)
We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of
![\sqrt{11} - \sqrt{3}](https://tex.z-dn.net/?f=%20%5Csqrt%7B11%7D%20%20-%20%20%5Csqrt%7B3%7D%20)
which is
![\sqrt{11} + \sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D%20%20%20%2B%20%20%5Csqrt%7B3%7D%20)
When we rationalize we obtain:
![\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%7B%28%5Csqrt%7B11%7D%20%20-%20%5Csqrt%7B3%7D%20%29%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%20)
The denominator is now a difference of two squares:
![(a - b)(a + b) = {a}^{2} - {b}^{2}](https://tex.z-dn.net/?f=%28a%20-%20b%29%28a%20%2B%20b%29%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20)
We apply this property to get
![\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%7B%28%20%5Csqrt%7B11%7D%29%20%5E%7B2%7D%20%20%20%20-%20%20%28%20%5Csqrt%7B3%7D%29%20%5E%7B2%7D%20%20%29%7D%20)
![\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%7B11%20%20%20-%20%203%7D%20)
This simplifies to
![\frac{5( \sqrt{11} + \sqrt{3} )} {8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28%20%5Csqrt%7B11%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%29%7D%20%7B8%7D%20)
Or
![\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%20%7D%20%20%7B8%7D%5Csqrt%7B11%7D%20%20%2B%20%5Cfrac%7B5%20%7D%20%20%7B8%7D%5Csqrt%7B3%7D%20)
I think it will because 5 × 6 × 25 = 750 in.
The bat is 30 in.
So, I think it will fit.
Hope this helped☺☺
-2x+14=x²-3x+12
add 2x on both side:
14=x²-x+12
subtract 14 on both side:
x²-x-2=0
factor: (x-2)(x+1)=0
x=2 or x=-1
HOPE THIS HELPS AND PLEASE MARK ME AS BRAINIEST AND ADD ME AS A FRIEND
To estimate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.
<h3>What is a cylinder?</h3>
In mathematics, a cylinder exists as a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases exist normally circular (like a circle) and the center of the two bases exists joined by a line segment, which exists named the axis.
A cylinder exists as a closed solid that contains two parallel circular bases joined by a curved surface.
To calculate the volume of the chord of wood, since the wood exists cut into equal lengths and stacked evenly in a rack then we can use a cylinder as a model.
To learn more about cylinders refer to:
brainly.com/question/8531193
#SPJ4