Answer:

Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by

so let

substitute

simplify addition:

simplify division:

hence,
the Midpoint of the line segment is (3,1)
Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:

Hence, after 8 days, the amount of bacteria is given by:

More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
Step-by-step explanation:
Side-angle-side.
The expression that is listed below is equivalent to 66 • 6 - 9
Answer: 396-9
The equation of direct proportion is y = 62x
<h3>
Direct variation</h3>
Two quantities are said to vary directly proportional to each other when an increase in one leads to an increase in the other or a decrease in one leads to a decrease in the other.
Direct variation is given by:
y = kx
where y, x are the variables and k is the constant of proportionality.
The equation of direct proportion is y = 62x
Find out more on Direct variation at: brainly.com/question/6499629