Which factor tree for the graph the function below? Check all that apply. f(x)= 4•5^x
1 answer:
The statements that are true are B, C, and F.
<h3>Which facts are true about the exponential function?</h3>
Here we have the exponential function:
We can see that the initial value is 4, and the base is 5. Because the base is larger than 1, this is an exponential growth function.
The statements that are true are:
B: The domain of an exponential function is always the set of all real numbers.
C: Is an exponential growth, so yes, it is increasing.
F: The y-intercept is given by evaluating the function in x = 0, when you do that, you get the initial value, which is 4. So the y-intercept is (0, 4).
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Answer:
<u>Question 11:</u>
<u>Question 12:</u>
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
<u>Question 11</u>
Given
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a):
Diagonal CA divides into 2 equal angles
i.e
So:
Solving (b):
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
Solving (c):
First, we calculate , considering
:
To calculate , we have:
Solving (d):
From the rhombus
Where
So:
Solving (e):
To do this we consider
Using the tan formula
and
So:
Solving (f):
This is calculated as:
Where
<u>Question 12: Isosceles Triangle</u>
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
