Answer:
3(2x + 3y)
Step-by-step explanation:
Here, we want to divide
The inner term of the first part can be splitted by the use of the difference of two squares
That is;
given two perfect squares, separated by negative; we can write the factors as;
a^2-b^2 = (a-b)(a + b)
Thus;
4x^2 - 9y^2 = (2x-3y)(2x + 3y)
matching term for term;
6x/2x will give 3
while (2x-3y)(2x + 3y)/(2x-3y) = 2x + 3y
So we have the results of the division as;
3(2x + 3y)
Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that 
, 
and 
, then the volume of the prism is:
33.75 cubic inches of styrofoam can be placed inside the container.
Answer: Vector travelling 4 units to the left and 1 unit up, facing northwest.
Step-by-step explanation:
The original shape is ABC, while the translated shape is A'B'C'.
The translation is 4 units to the left and 1 unit up.
The correct vector will display as a vector travelling 4 units across and 1 unit down, facing northwest.
The first attached image travels 4 units across and 1 unit down, and faces the correct direction (northwest).
The second attached image travels 4 units across and 1 unit down, but it faces the wrong direction (southeast).
The third image travels 1 unit across and 2 units down. This is incorrect.
The fourth image travels 1 unit across and 2 units down. This is incorrect.
The correct answer is the first attached image (linked in comments)
Answer:
mee tooo
Step-by-step explanation:
lol ;)
