Which option below shows the graph of the function g(x) = (0.20)2 x ?
2 answers:
Answer:
Option 1
Step-by-step explanation:
Given : The function
To find : Which option below shows the graph of the given function ?
Solution :
We know that,
The y-intercept of a function is the value of y when the value of x is equal to zero.
Substitute x=0 in the given function,
This shows that graph is passing through the point (0,0.20).
In the following options on graph 1 the point passes through the point.
Therefore, Option 1 is correct.
Refer the attached figure.
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Answer:
Step-by-step explanation:
Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.
Alternate Interior Angles Theorem
Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).
Alternate Exterior Angles Theorem
Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).
Same-side Interior Angles Theorem
Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).
Same-side Exterior Angles Theorem
Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).
Corresponding Angles Theorem
Two angles on a figure that correspond are congruent (=).
_
Now, let's look at the figure and apply these theorems.
and
are same-side exterior angles, meaning they're supplementary:
Subtract from both sides of the equation:
Now that we know our value, let's recognize that
(
)corresponds to
, meaning they're congruent:
Subtract from both sides of the equation:
Let's find the value of the angle:
Add:
Since the corresponding angles are of the same value, they're congruent, proving our &
values correct.
_
Since and the angle represented by the expression
(
°) are alternate-interior angles, they are congruent: