Here is my work for the problem. Hope this helps!
05.05)On the coordinate plane below, what is the length of AB?
1 answer:
Answer:
Therefore the length of AB is 15 unit.
Step-by-step explanation:
Given:
A ≡ ( -7 , 4 ) ≡ (x₁ , y₁)
B ≡ ( 8 , 4 ) ≡ (x₂ , y₂)
C ≡ ( 8 , -3 )
D ≡ ( -7 , -3 )
To Find:
Length of AB =?
Solution:
Distance Formula between two points is given as
Substituting the values we get
Therefore the length of AB is 15 unit.
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Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:
In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence , and this is used to find k.
Hence:
The time it takes for 80% of the material to decay it t for which , hence:
It takes 18.6 days for 80% of the material to decay.
To learn more about exponential functions, you can take a look at brainly.com/question/24906920