Answer:
1/2x
Step-by-step explanation:
Slope is
Rise over run In a fraction the rise is the numerator and the run is the denominator
From getting one point to another
You rise 1 and run 2
Which is the equivalent of 1/2
Answer:
.
Step-by-step explanation:
The equation of a circle of radius centered at is:
.
.
Differentiate implicitly with respect to to find the slope of tangents to this circle.
.
Apply the power rule and the chain rule. Treat as a function of , .
.
.
That is:
.
Solve this equation for :
.
The slope of the tangent to this circle at point will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
- is the gradient of this line, and
- are the coordinates of a point on that line.
For the tangent line in this question:
- ,
- .
The equation of this tangent line will thus be:
.
That simplifies to
.
So we know that there are 100 mice and their population doubles every year over a span of 5 years.
We can use the formula provided which is
We know the initial population (100) the growth factor (double or 2x) and the time (5 years)
P=(100)
(2×2×2×2×2)
P=(100)32
P=3,200
Hope that helped :)
They have to be straight line objects with no curves