Answer:
Step-by-step explanation:
Hello There!
If you didn't know vertical angles are congruent
That being said we can use this equation to solve for x
40 = 5x
Objective: Isolate the variable using inverse operations
To get rid of the 5 we divide each side by 5
40 / 5= 8
5x/5=x
we're left with x=8
To check our answer we can plug in 8 to x and if it equal 40 then the answer is correct
5(8) = 40
So the answer would be 8
Answer:
L(xyz) = ( 1 , 3 , -7 )
L = x + 3y - 7z -3
Step-by-step explanation:
f (x,y,z) = xy + 2yz - 3xz
f (3,1,0) = (3) (1) + 2 (1) (0) - 3 (3) (0)
f (3,1,0) = 3
fx = y - 3z
f (3,1,0) = (1) - 3 (0)
fx = 1
fy = x + 2z
f (3,1,0) = (3) - 2 (0)
fy = 3
fz = 2y - 3x
f (3,1,0) = 2 (1) - 3 (3)
fz = -7
Answer:
1200 m
Step-by-step explanation:
We are given that
Area of pasture,A=180000 square meter
We have to find the least amount of fencing required to enclose such a pasture.
Let length of pasture,=x
Width of pasture,b=y
Area of pasture=
Fencing required=2x+y
Differentiate w.r.t x
m
It is always positive because length cannot be negative.
m
Again differentiate w.r.t x
Substitute x=300
The fence is minimum at x=300
Therefore, fencing required to enclose such a pasture
FIRST PAGE: 20, 40, 20
SECOND PAGE: 15, 3, 6, 2 x 2 x 2 x 11
THIRD PAGE: 2 x 5 x 11