Answer:
9c + 45
Step-by-step explanation:
The distributive property also known as distributive law of multiplication and division.
In the given expression, distributive law of multiplication is applied where we can multiply first before addition.
Given
9(c+5)
Using distributive property
9(c+5)
= (9 × c) + (9 × 5)
= 9c + 45
9(c+5) = 9c + 45
Answer:


Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:

So, we have:

Next, is to calculate the translation from
to 
This is calculated using:

and

So, we have:


---- i.e. Shift by 6 units to the left


--- i.e. Shift by 1 unit down
<span> Yes, there is a "relationship" regarding the </span>tangent<span> of the two acute angles (A and B) in a right triangle.</span>
The next step is to draw an arc with center E.
For this case we have a function of the form:

Where,
A: initial population of bacteria
b: growth rate
x: number of hours
Since the diameter is double every hour, then:

We must now look for the value of A.
To do this, we evaluate an ordered pair of the graph:
For (1, 2):

Clearing A we have:


Then, the function is given by:

For after 9 hours we have:

Answer:
the diameter of the bacteria after 9 hours is:
