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
Answer:
Perimeter = 25
Step-by-step explanation:
J(-2, 5)
K(1, 1)
L(1, -1)
M(-5, -4)
N(-5, 1)
Formula for distance between 2 coordinates is;
d = √((x_2 - x_1)² + (y_2 - y_1)²)
Thus;
JK = √((1 - (-2))² + (1 - 5)²)
JK = √25
JK = 5
KL = √((1 - 1)² + (-4 - 1)²)
KL = √25
KL = 5
LM = √((-5 - (-1))² + (-4 - (-1))²)
LM = 5
MN = √((-5 - (-5))² + (1 - (-4))²)
MN = 5
JN = √((-5 - (-2))² + (1 - 5))²)
JN = 5
Thus;
Perimeter = 5 + 5 + 5 + 5 + 5
Perimeter = 25
Answer:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,

It is given that Victor has 42 more tools than Ilya.

Solve the above equation.




Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,





Hence, Victor gives 28 tools to IIya.
angles a and b are supplementary because they form a straight line