Answer:
12 square units
Step-by-step explanation:
A = 1/2·h(sum of bases)
A = 1/2(4)(2+4)
A = 2(6) which is 12 square units
Answer:
10
Step-by-step explanation:
give me brainly
am i correct? let me know
Answer:
Option C.
Step-by-step explanation:
Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.
Consider the given function is
If 
, then 
is an even function.
If 
, then is an odd function.
Now, substitute x=-x in the given function.
So, the given function not an odd function. It means it is an even function.
To check whether the given function is odd, we have to determine whether 
is equivalent to 
.
Therefore, the correct option is C.
Answer:
Step-by-step explanation:
Let 
, a reflection over the x-axis consists in the following operation:
If we know that 
and 
, then the points translated over the x-axis are 
and 
, respectively. The most precise description of the shape is a rectangle for the following facts:
1) 
and 
.
2) 
and 
have the same x-component.
3) 
and 
have the same x-component.
4) and have the same y-component.
5) and have the same y-component.
A representation of the shape is included below as attachment.
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
