C.
If you spin it around 180 degrees from the center, it's the same object
You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
Answer:
is closest to the total surface area of the box
Step-by-step explanation:
we know that
The surface area of the box is equal to

where
B is the area of the base
P is the perimeter of the base
H is the height of the box
we have



<em>Find the area of the base B</em>


<em>Find the perimeter of the base P</em>



<em>Find the surface area</em>



Answer:
(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)
Step-by-step explanation:
Two events A and B are independent if P(A)P(B)=P(A ∩ B)
Given events A and B such that:
P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075
- P(A)P(B)=0.3 X 0.25 =0.075
- P(A ∩ B) = 0.075
Since the two expression above gives the same answer, they are independent.
<u>The correct option is C.</u>
6 inches squared is your answerStep-by-step explanation:4/2=2 6/2=3
3times 2 equals 6