Answer:
600$
Step-by-step explanation:
I think this is right
Step-by-step explanation:
okay so im in 8th grade and i just worked the problem out and i got , 809 ,
first you add 230 + 349 to see how much she has in her farm
she has 579, then you add 579 because she has that many , and he has 230 so you add 579 +230 and tou get 809
work:
230
+349
----------
579
+230
---------
809
hope i helped!!
Answer:
Height of the box = 11.5 in
Step-by-step explanation:
Let h be the height of the box.
Assuming the volume of the Box is 
.
Given:
Length = Height - 4 = h - 4
Width = 3 in
We need to find the height of the box.
Solution:
We know that the volume of the box.
Substitute all given value in above formula.
Rewrite the equation as:
whole equation divided by 3.
Use quadratic formula with 
Put these a, b and c value in above equation.
For positive sign
h = 11.5 in
For negative sign
h = -7.5
We take positive value of h.
Therefore, the height of the box h = 11.5 in
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.
