9514 1404 393
Answer:
A. -1 ≤ x ≤ 3
Step-by-step explanation:
The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...
-1 ≤ x ≤ 3
The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
_____
A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
Answer:
75(1/3)^(n-1).
Step-by-step explanation:
This is a Geometric sequence whose common ratio is 15/75 3/15 = 1/3.
so the nth term an = a1 r^(n-1)
= 75(1/3)^(n-1).
Answer:
(0,-3) because its the coordinate