Consecutive numbers. X
X+1
X+2
Add them together. 3x + 3 = 33 + x
-3 -3
3x = 30+ x
-x. -x
2x = 30
X = 15
Step-by-step explanation:
all work is pictured/shown
You need to put the equations?
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.
Answer:
Option A. 64x^3
Step-by-step explanation:
From the question, we were able to obtain the following:
L = 4x
In cubic units,
Volume = L^3
Volume = (4x)^3
Volume = 64x^3
