Step-by-step explanation:
midpoint of AC=(x¹+x²/2,y¹+y²/2)
=(-12+6/2,-8+14/2)
=(-6/2, 6/2)
=(-3,3)
Answer:
4
Step-by-step explanation:
13 x 4 = 52 + 7 = 59
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
