Answer:
![[tex]4608\sqrt{3}](https://tex.z-dn.net/?f=%5Btex%5D4608%5Csqrt%7B3%7D)
[/tex]
Step-by-step explanation:
1. 
2. 
<em>factoring 96</em>
<em>since 
</em>
3. 
<em>using exponent rule - 
</em>
<em> 
</em>
4. 
<em>doing some simple simplification and 
and 6=2*3</em>
5. 
<em>collecting the roots on one side and applying exponent rule</em>
6. 
<em>Applying exponents rule on all 
and 
</em>
<em>7. 
</em>
<em>combining all powers of 2</em>
8. 
<em>Simplifying</em>
9. 
10. 
11. 
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
A because if you subtract 56 from both sides, then x would show you what equals the tied record
(0,0.5) and (10,10)
You always start at the beginning point and the end point and what ever points hit that line, great! That is why it is best fit and not connect the dots.
Hope I helped!
