Answer:
M (0, 6)
Step-by-step explanation:
By midpoint formula,
M [(x1+x2)/2 , (y1+y2)/2]
M [-5+5/2 , 3+9/2]
M (0/2 , 12/2)
M (0, 6)
Answer:
12 > 4.3
Step-by-step explanation:
Answer: Yes. 5 kilograms is a little more than enough.
Step-by-step explanation:
Use the conversion factor. 1 kilogram = 2.20462 pounds
We can round that to 2.2 for a question like this.
5 × 2.2 = 11 pounds
Answer:
See explanation
Step-by-step explanation:
a) To prove that DEFG is a rhombus, it is sufficient to prove that:
- All the sides of the rhombus are congruent:

- The diagonals are perpendicular
Using the distance formula; 








Using the slope formula; 
The slope of EG is 

The slope of EG is undefined hence it is a vertical line.
The slope of DF is 

The slope of DF is zero, hence it is a horizontal line.
A horizontal line meets a vertical line at 90 degrees.
Conclusion:
Since
and
, DEFG is a rhombus
b) Using the slope formula:
The slope of DE is 

The slope of FG is 

Answer:
6xy^3 +12xy^2 z
Step-by-step explanation:
3xy^2 (2y+4z)
Multiply
3xy^2 * 2y + 3xy^2 *4z
common factors
3xy^3 +3xy^2 *4z
Multiply
6xy^3 +12xy^2 z