Answer:
The answer to your question is: D (-4, -5); Area = 48 u²
Step-by-step explanation:
Data
A (2, -5)
B (2, 3)
C (-4, 3)
D ( , )
Process
Distance
AB = CD = 8 u
AD = BC = 6 u
Area
Area = base x height
= 8 x 6
= 48 u²
Since you didn't give the choices, I can only help with the problem. Then, you can select the correct answer.
A set is closed under a given operation, if all possible values in the set would produce the same type of number when the operation is completed.
For example:
The square root of 5 plus the square root of 5 is two square roots of 5.
Both of numbers are irrational and they produce an irrational result.
Here is one example, like you should be looking for.
Irrational numbers are not closed under addition because:
Pi plus a negative pi would be zero.
Pi and negative pi are irrational however zero is not irrational.
Therefore, the set is not closed.
Answer:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
The coordinates of the midpoint are the arithmetic means of the respective coordinates of the endpoints.
The endpoints:
R(6,-2)
x₁=6
y₁=-2
S(x,y)
x₂=x
y₂=y
The midpoint:
M(5,3)
The coordinates of S are (4,8).