Is (0,0) a solution to this system?
1 answer:
Answer:
A. Yes, (0,0) satisfies both inequalities.
Step-by-step explanation:
The given inequalities are;
and
For (0,0) to be a solution to the given system of inequalities then it must satisfy both inequalities.
We substitute (0,0) into the system of inequalities to obtain;
This implies that;
; True
and
This implies that;
: True
Since (0,0) satisfies the two systems, it is a solution.
The correct choice is A.
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Answer:
√65/2 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
To get the base and height, we will use the distance formula;
Area of the triangle LMN = 1/2 * LM * MN
For MN
Given the coordinate M(3, 2) and N(1, 3)
MN = √(3-2)²+(1-3)²
MN = √1²+(-2)²
MN = √1+4
MN = √5
For LM;
Given the coordinate L(1, -1) and M(3, 2)
LM = √(2-(-1))²+(3-1)²
LM = √(2+1)²+(2)²
LM = √3²+(2)²
LM = √9+4
LM = √13
Area of the triangle LMN = 1/2 * √13 * √5
Area of the triangle LMN = √65/2 square units
