Answer:
<em>P=1620</em>
<em>Third option</em>
Step-by-step explanation:
<u>Horizontal Asymptotes</u>
A given function is said to have a horizontal asymptote in y=a, if:
Or,
For the given function, the population of the species of bird is given by
:
Where t is the time in years. To find the horizontal asymptote, we should compute both limits to check if they exist.
When t tends to plus infinity, P tends to 1620
.
The second asymptote is computed by:
When t tends to minus infinity, P tends to zero. Since the domain of P is
, this asymptote is not valid, thus our only asymptote is
The residual is the difference between the plotted point and the line of best fit.
We first need to know the point at x=5 for the line of best fit.
y1 = -(5) - 3 = -8
Now we need to find the difference between the line of best fit and the plotted point.
residual = 9 -(-8) = 9 + 8 = 17 or C
Step number 3 should really be step number 7, it should be placed after step 4, 5, and 6. The reason is because we won't know that ∠LEO ≅ ∠NEO until after we learn that LE ≅ EN. Because of this, step 3 is in the wrong spot (mistake number one). The secod mistake is that step 7, triangle OLE ≅ triangle ONE is congruent by Angle-Side-Angle (ASA) Postulate, not Side-Angle-Side (SAS) Postulate. It is congruent by ASA because we know that both triangles have equal angles N and L. We also know that the perpendicular bisector creates a 90° angle. So m∠LEO = 90° and ∠NEO = 90°. Therefore, we already have 2 congruent angles in both of the triangles. We also learn that line LE ≅ EN based on the definition of a perpendicular bisector, so we have know one that one side of each triangle is congruent. It is ASA and not AAS, because the ASA Postulate states that two angles and one included side of one triangle are congruent to two angles and one included side of another triangle.
Answer:
alternate interior
Step-by-step explanation:
tell me if this is right.