Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is 
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = x (-1) + c
c = 2 + = 
The equation of the new line is;
y = x +
or multiply through by 5;
5y = x + 11
I think it would be (2,-8),2
Where’s the picture? Then I could help you but I don’t see one
If the population decreases by 2% each year, that can be represented by multiplying the population by 0.98 mathematically. So if it decreases by 2% each year, an equation we can use is:
P*(0.98)^t,
where P is the current population and t is the number of years.
So in 2020, that would be 10 years from now, so the population would be:
1759*(0.98)^10 = 1437.23
Or about 1437 people.
How long till it is less than 1000? We can set up an inequality and solve:
1759*(0.98)^t < 1000
(0.98)^t < 1000/1759
t*ln(0.98) < ln(1000/1759)
t > ln(1000/1759)/(ln(0.98)) (swap the sign because ln(0.98) is a negative #)
t > 27.95
So the population would be below 1000 in about 28 years, or 2038.
Answer:
-65536
Step-by-step explanation:
-1*4^8
