Answer: FALSE.
Step-by-step explanation:
Given the system of inequalities:
We can know if the point (-2,3) is a solution to the following system with the graph of the system of inequalities.
By definition the solution is the intersection region of all the solutions of the system of inequalities.
Knowing this and analizing the graph attached, we can notice that the point (-2,3) is not included in the intersection region (Remember that with symbols "<" and ">" the lines are dashed and any point that lines of these lines is not included in the intersection region).
Therefore, it is not a solution to the system.
Given:
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).
To find:
The type of the given triangle.
Solution:
Distance formula:
Using the distance formula, we get
Similarly,
And,
Two sides of the triangle are equal, i.e., . So, the triangle is an isosceles triangle.
Sum of square of two smaller side is
Using the Pythagoras theorem, we can say that the given triangle is a right triangle.
Therefore, the correct options are B and F.