Which is equivalent to the expression? x2 + 6x + 4 A) (x + 3)2 + 5 B) (x + 3)2 − 5 C) (x − 3)2 + 5 D) (x − 3)2 − 5
2 answers:
Answer:
B)
Step-by-step explanation:
the equation is:
we have an equation of the form
where
and we must complete the square to obtain a perfect square binomial,
we must add and substract the following:
which is:
and then the equation becomes:
where the terms are the components of the perfect square binomial:
and thus, the equation now is:
the answer is: B)
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Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for . Since the sum of the angles in a triangle adds up to
, we can write the equation:
Looking at the smaller triangle on the left, (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)