Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
12x - 9 = 63
12x = 72, x = 6
Solution: x = 6
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:
y - y1 = m(x - x1)
Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:
y - 4 = -0.5(x - (-5))
And now simplify:
y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5
y = -0.5x + 1.5
Using an exponential function, it is found that the population of Clay County will be of $13,482.
<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 growth rate, as a decimal.
In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.
The equation is given by:
Hence, in 10 years, the population will be given by:
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
7)c
8)d
9)b
10)a
Step-by-step explanation:
