If the line is vertical, then all of the point on the line have the same x-coordinate. In this case the x-coordinate is 1, so x=1.
Answer:
y = .25x + 2.5
Step-by-step explanation:
First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.
m = (y₂-y₁)/(x₂-x₁)
m = (3-1)/(2+6)
m = 2/8
m = 1/4
Plug that in.
y = 1/4x + b
To find b plug in one of the two points and solve.
3 = 1/4(2) + b
3 = 1/2 + b
3 - 1/2 = 1/2 - 1/2 + b
2.5 = b
Answer:
2023 rabbits
Step-by-step explanation:
The exponential model consists of the following expression:

Where:
- Initial population.
- Increase rate.
- Time
- Current population.
The initial population and increase rate are, respectively:





![r = \sqrt[4]{\frac{17}{12} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B17%7D%7B12%7D%20%7D)

The exponential model that predicts the population of rabbits is:

Lastly, the expected population for the year 1996 is:


Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
<h3>Pythagorean relation</h3>
The relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
<h3>Application</h3>
For the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
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<em>Additional comment</em>
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.