A decision model that presumes an environment where problems are clearly defined, all possible action alternatives are known, an
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An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial 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.
A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation . Since there is only one value that can satisfy this equation that is 2.
Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².
Learn more about Expression:
Answer:
482.7972612 cm. Just round from here.
Step-by-step explanation:
Ah, the sine law questions. Ok so you know . If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have
Plug in:
The answer when solving for x is the above
Option D: is the solution to the inequalities.
Explanation:
From the given graph, we can see that the equation of the inequalities are
and
To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities and
Thus, we have,
Option A:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option A is not the correct answer.
Option B:
Substituting the coordinates in and
, we get,
is not true.
is not true.
Since, both the equations does not satisfy the condition, the coordinate is not a solution.
Hence, Option B is not the correct answer.
Option C:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option C is not the correct answer.
Option D:
Substituting the coordinates in and
, we get,
is true.
is true.
Since, both equation satisfies the condition, the coordinate is a solution.
Hence, Option D is the correct answer.