True or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the circumcenter of the triang
le
1 answer:
Answer:
<h2>False.</h2>Step-by-step explanation:
A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.
Therefore, the statement is false.
In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.
An image showing the inscribed circle is attached.
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The given function presents a local minimum in the coordinates (0,-1).
<h3>Factoring</h3>In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
For solving this question, the given equation should be rewritten from the factoring.
. Then, you have 3 equations.
From the Zero Factor Principle, you can write
Equation 1
(x+1)²=0
x+1=0
x= -1
Equation 2
x-1=0
x=1
Equation 3
x²-x+1=0
From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).
Read more about the factoring here:
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