I tell you these facts about a mystery number, C:
2 answers:
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9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Answer:
m=0
Step-by-step explanation:
The slope of a line can be found using:
Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.
Coordinates are written as: (x,y)
Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.
Substitute these values into the formula .
m=0
The slope of the line is 0