On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflectio
1 answer:
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for :
For the proof here kindly check the attachment.
We are given that. Also, the transversal is shown. Let us take the first case, that of
and
. Please note that all other proofs will follow in a similar manner.
Let us begin, please have a nice look at the diagram. We will see that and
are vertically opposite angles. We know that vertically opposite angles are congruent. Thus,
and
are congruent angles.
=
Now, we know that and
are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:
=
From the above arguments it is clear that:
=
=
.
Thus, =
We have proven the first instance. Please note that all other instances can be proved in a similar fashion.
For example, for and
we can take
and
as vertically opposite angles thus making
=
. Now,
and
are alternate interior angles and thus
and
are equal. Thus, we have
and
.
