Answer:
The school is closest
Step-by-step explanation:
Plot the point of the library and measure the distance from the library to each location.
F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)
g(x) has a y-intercept at (0, -3)
Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
1. Answer (D). By the law of sines, we have 
in any 
2. Answer (C). The law of cosines, 
accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of 
and 
are reversed.
5. Answer (B). By the law of sines, we have 
Solving gives 
Note that this is the <em>ambiguous (SSA) case</em> of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.
Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.
Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.
3400 is 10 times greater than 340 because if you divide 3400 by 10, you will get 340. Letting you know that 3400 is 10(ten) times greater than 340.
