If x2 mx m is a perfect-square trinomial, which equation must be true?.
1 answer:
Expression consist of numbers, variables, and mathematical operations. The equation that is true is x²+mx+m= (x+2)².
<h3>What is an Expression?</h3>In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As it is given that the x²+mx+m is a perfect square trinomial, and we know that the general equation of perfect square trinomial is given as,
ax²+bx+c=0
where a,b and c are real numbers, and a≠0,
if we compare the equation with our equation
We will get the value of 'a' as 1, b=c=m, therefore, we need a binomial which is when expanded then in its perfect square trinomial the value of b=c, therefore, the only feasible option here is (x+2)².
Hence, the equation that is true is x²+mx+m= (x+2)².
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Answer:
Option B and C are correct.
are the expression incorrect for slope
Step-by-step explanation:
Slope is defined as the change in the dependent variable relative to the change in the dependent variable
or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.
The vertical changes between any two points is rise
The horizontal changes between any two points is run.
Formula for slope is given by:
For any two points and
then slope is:
or we can write this as:
Δy =
Δx =
⇒
Therefore, the expression which are incorrect for slope are;