Had to do a bit of guesswork to figure out what you're asking here. If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.
The sine of pi/4 is 1 / sqrt(2); the cosine is the same.
The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.
If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.
The equation would be 63500-700x=P, where 63500 is the original population, -700 is the amount the population decreases each year, x is the number of years, and P is the total population.
To answer the second part of the question, plug in 53000 for P and solve for x:
63500-700x=53000
<em>*Subtract 63500 from both sides*</em>
-700x=-10500
<em>*Divide both sides by -700*</em>
x=15
It would take 15 years for the population to drop to 53000.
Hope this helps!!
Answer: y= (x+2)² −
5
Step-by-step explanation:
The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal − 1x² and add to 4x. There aren't any, which means it is not factorable.
Hope I helped
