The side length of an equilateral triangle is 6x - 12. Write an expression for the perimeter of the triangle in simplest form.

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

18x - 36

Step-by-step explanation:

In an equilateral triangle the 3 sides are congruent, then

perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms

= 18x - 36

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What equation best models this data?(use y to represent the population of rabbits and t to represent the year, assuming that 201

liraira [26]

If we see the data closely, a pattern emerges. The pattern is that the ratio of the population of every consecutive year to the present year is 1.6

Let us check it using a couple of examples.

The rabbit population in the year 2010 is 50. The population increases to 80 the next year (2011). Now, $\frac{80}{50}=1.6$

Likewise, the rabbit population in the year 2011 is 80. The population increases to 128 the next year (2012). Again, $\frac{128}{80}$ $=1.6$

We can verify the same ratio with all the data provided.

Thus, we know that the population in any given year is 1.6 times the population of the previous year. This is a classic case of a compounding problem. We know that the formula for compounding is as:

$F=P\times r^n$

Where $F$ is the future value of the rabbit population in any given year

$P$ is the rabbit population in the year "0" (that is the starting year 2010) and that is 50 in this question. (please note that there is just one starting year).