Answer:
<h2>y - 4 = -2(x - 6) or y - 2 = -2(x - 7)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
The formula of a slope:
We have the points (6, 4) and (7, 2). Substitute:
Using the first point
Using the second point
So let T be the max and min temperature, and let x be the given temperature in °F.
T = x+-12
So for this case the Tmax will be 40°F using the equation above.
And Tmin being 16°F
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
Answer:
The population is expected to be 5515 animals in 12 years.
Step-by-step explanation:
This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:
final population = initial population * (1 - r)^(t)
Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:
final population = 6000*(1 - 0.007)^(12)
final population = 6000*(0.993)^12 = 5514.9582 animals
The population is expected to be 5515 animals in 12 years.
