Answer:
y=5x+18
Step-by-step explanation:
The formula for point- slope is
y-y1= m(x-x1)
First substitute the values of the line from the question.
y-8=5(x+2)
Then solve for the slope- intercept form.
y-8=5(x+2)
y-8=5x+10
y=5x+18
Distance=speed*time
distance traveled by plane A after 40 minutes:
distance=570×40/60=380 miles
Distance traveled by B after 40 minutes
distance=20/60×585=195 miles
Thus the distance between them will be given using cosine law:
c^2=a^2+b^2-2ab Cos C
thus we shall have:
c^2=380^2+195^2-2*380*195*cos22
c^2=45016.35275
c=212.171 miles
Thus the distance between them after 40 minutes is 212.171 miles
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Answer:
4a + 4
Step-by-step explanation:
f(x) = x² + 2
f(a) = a² + 2
f(a+2) = (a+2)² + 2
f(a+2) − f(a) = (a+2)² + 2 − (a² + 2)
f(a+2) − f(a) = a² + 4a + 4 + 2 − a² − 2
f(a+2) − f(a) = 4a + 4
2x+6=2(x+3)
Step-by-step explanation:
let x represent the unknown number
