Well 58 inches is 4 feet, so Amanda has to purchase 2 yards of fabric. So this brings her to $90. If you multiply 90 by 40%, and then subtract that number from 90, you have 54. Multipy 54 by the sales tax and then add that number to 54. So Amanda will have to pay $56.75. Hope this helps, have a nice day :)
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.
3/5 - 2/5 = 1/5
I hope that helps!
Answer:
55/8
Step-by-step explanation:
here u gooo good luck
Here's a really cool website that let's you input 3D points!
http://technology.cpm.org/general/3dgraph/
From the attached picture you can see that the point has moved back 5 units, to the left 5 units, and up 5 units.
