Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)


The partial derivatives are


To find the dimension of the box set the partial derivatives
and
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)



⇒y=34 cm
Then
=34 cm.
Putting the value of x and y in the equation (2)

=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Answer:
Step-by-step explanation:
m+3 < 5
Isolate the m by subtracting 3
m+3 - 3 < 5 - 3
m < 2
Answer: if you graph these points, you'll see that the line is horizontal, so the slope is zero. It will cross the y axis (y intercept) at y=1.
Step-by-step explanation:
Slope = y2-y1/x2-x1, so in this example:
m = 1-1/it doesn't matter because the answer will be zero!!
Now for slope intercept form:
y = mx + b
y = 0x + b; take one of your points and plug it in:
1= 0(2)+ b
1=0 + b
1=b
So your equation is:
y= 0(x) + 1
y=1
You would have to start at one side of the following states and drive/fly across each one.