What is the length of latus rectum for (y + 3)^(2)= 12(x - 1)
2 answers:
Answer:
12 units
Step-by-step explanation:
The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus by using the equation
for a vertical parabola.
We can deduce that ,
, and
. Therefore, the focus of the parabola is
or
.
Because the focus is , then it is 3 units away from the vertex
, making the length of the latus rectum 3*4=12 units.
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Answer:
3544
Step-by-step explanation:
This is a problem of compound growth. The formula is
Where F is the value in the future (in this case, the population after 13 years)
P is the intial amount (here, the initial population of 2000, so P = 2000)
r is the rate of growth (here, it is 4.5%, in decimal, 0.045)
t is the time frame (here, it is 13 years, so t = 13)
<em>we can plug the numbers into the formula and solve for F:</em>
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<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>