how much is for electricity?
Slope formula;
m = y2 - y1/ x2 - x1 (-2, -1), (3, 4)
m = 4 - (-1)/ 3 - (-2)
m = 5/5
m = 1
the slope is 1.
hope this helps, God bless!
Answer:
B. 2
Step-by-step explanation:
We have been given that a worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip.
Since worker has made 17 trips, so total number of hugs of liquid soap would be 17 times number of jugs carried per trip.
.
Since each carton holds 7 jugs, so number of cartoons would be
.

We can see that there are 9 completely filled cartoons and there are 5 jugs remaining, so we need
jugs.
Therefore, we need 2 jugs to fill the 10th cartoon and option B is the correct choice.
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.
:))))))
Step-by-step explanation:
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