First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).
Can you reformat the question?
The number of bats that there would be in 2021 would be 768,000.
<h3>What would be the number of bats in 2021?</h3>
The formula that can be used to determine the future value of bats in 2021 is:
FV = P (1 + r)^n
Where:
- FV = Future value
- P = Present value = 3000
- R = interest rate = 300%
3000(1 + 3)^4
3000 x 4^4 = 768,000
To learn more about future value, please check: brainly.com/question/18760477
