Answer:
See attachment for rectangle
Step-by-step explanation:
Given



Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;

So, we have:





The above represents the length of the triangle.
Next, calculate the width using:


Divide both sides by 2

This implies that, the width of the rectangle is 6 units.
We have:


Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:




<em>See attachment for rectangle</em>
Answer:
2
Step-by-step explanation:
Subtract the second equation from double the first equation:
2x+6y-2x-(-4y)=0
10y=0
Therefore, y=0. Substituting this into the first equation, we see that:
x+3(0)=3
x=3
Therefore, x=3. The solution to this system is x=3, y=0, or (3, 0).
Answer:
2004-(-185)=2189
-185+469=284
Step-by-step explanation:
I double checked them
Answer:
B
Step-by-step explanation:
recall that any radical expression
has real solutions only if A is not negative. (otherwise you will have imaginary solutions)
hence in this case we have
,
for real solutions, 8x must be ≥ 0,
since 8 is a positive number, x must be ≥ 0 (answer)