Answer:
Option C. 6 square units
Step-by-step explanation:
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
Let
a,b,c be the lengths of the sides of a triangle.
The area is given by:

where
p is half the perimeter
p=
we have
Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)
the formula to calculate the distance between two points is equal to

step 1
Find the distance AB



step 2
Find the distance BC



step 3
Find the distance AC



step 4



Find the half perimeter p
p=
Find the area




When system of equations solved graphically, the solutions are points of interceptions, So here, the solution is the point of interception (0,-5).
Answer (0,-5).
The answer to this question is A. 12
Answer:
x = √(10) - 2, -√(10) - 2
Step-by-step explanation:
x² + 4x + 4 = 10
factor:
(x + 2)² = 10
take square root of both sides:
x + 2 = ±√(10)
split into 2 equations:
x + 2 = √(10) x + 2 = -√(10)
solve both equations and collect solutions:
x = √(10) - 2, -√(10) - 2