please help, this is due in a few minutes and i’ll be giving points and brainlest, thank you so much !!
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Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then
when x= -1 then
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
For this case we have that by definition, the area of a triangle is given by:
Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the data of the statement we have:
Substituting in the formula we have:
So, the area of the triangle is
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