Answer:
The slope of the line perpendicular to the given line is 2/3
Step-by-step explanation:
step 1
Find the slope of the given line
we have
3x+2y=6
isolate the variable y
2y=-3x+6
y=-(3/2)x+3
The slope of the given line is m=-(3/2)
step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, their slopes are opposite reciprocal of each other ( the product of their slopes is equal to -1)
so
m1*m2=-1
we have
m1=-3/2
so
m2=2/3
therefore
The slope of the line perpendicular to the given line is 2/3
Answer:
15
Step-by-step explanation:
Since the total degrees of ANY triangle is 180 degrees, start by subtracting 63 and 45 by 180.
180-63-45=72
Now take the 12 from (4x-12) and subtract that from 72.
72-12=60
Now divide 60 by 4 from the 4x.
60/4=15.
The first one is 12 because if you divide 36 by 3
Answer:
Step-by-step explanation:
I think the answer is 5x
Set both partial derivatives equal to zero and solve for
.
The Hessian matrix (matrix of second-order partial derivatives) for this function is
Now since
for any
, and
for any
, it follows by the second partial derivative test that the critical point
is the site of a local minimum of
. The value of the minimum is
.
