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Anika [276]
3 years ago
12

I need help with this equation7/12 divided by 2/5

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

1  11/24

Step-by-step explanation:

Flip 2/5 into 5/2 then multiply 7/12 by that

5/2 times 7/12= 35/11=1 11/24

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Find the coordinates of the point (x,y,z) on the planez=4x+3y+1 which is closest to the origin.
Nataliya [291]
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).

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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 &Pi; , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
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=>
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 &Pi;
Answer: P(-2/13, -3/26, 1/26) is the point on &Pi; closest to the origin.

8 0
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