Solve the system by substitution.
1 answer:
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Answer:
a)
b) 14650
Step-by-step explanation:
First let's find out how much the population increased during those 4 years.
In 1992 it was 1000.
In 1996 it was 4900.
. During 4 years, the population increased by 3900.
Therefore during 1 year, the population increased by
Since it's linear, we can write it using the general equation for a straight line, which is .
We've already found m, which is the slope of the line (975).
The question asks us to write it in the form: . where P is the population and t is the time in years since 1990.
We can sub some values into this formula to work out the constant, c.
Let's put in the values for 1992. Population is 1000 and the time in years after 1990 is 2 (since 1992 - 1990 = 2)..
Therefore:
Re-arrange to get:
Therefore, we have our formula now.
Now for the second part of the question, population of moose in 2006. We need to work out how many years apart 1990 and 2006 are which we can calculate by doing .
Now let's put this into our formula.
Answer: 40
ADE = 70 por suma de angulos interiores en triangulo ADE
En triangulos BDE y AED
AE=BE por dato
DE lado comun
AED= BED= 90
por tanto los triangulos son iguales por tener dos lados y el angulo comprendido respectivamente iguales
Luego ADE = BDE = 70 y AD=BD=BC por ser triangulos BDE y AED iguales
Luego triangulo BDC isosceles de base DC
ADE + BDE + BDC = 180 por suma de angulos consecutivos
BDC = 180 - 70 -70 = 40
Ф = BDC =BCD = 40 por ser angulos bases de un triangulo isosceles
