Assuming that the angle is shown and the degrees is explicitly shown, then you can conclude the following:
If the angle >= 0 and the angle < 90, then the angle is an acute angle.
If the angle = 90, then the angle is a right angle.
If the angle > 90 and the angle <180, then the angle is an obtuse angle.
If the angle = 180, then the angle is a straight angle.
1. Let the sides of a triangle be a, b and c.
Assume c is the largest side.
The maximum angle measure in an acute triangle can be 90°. In such a case we would have
Now forget about side c, and open the angle between a and b just a little bit. Now clearly
is larger that
because the "new c" is larger than the old one.
2. So for 3 numbers to be the lengths of the sides of an acute triangle, the sum of the squares of the 2 smaller numbers must be at most equal to the square of the largest number but not more.
Check:
A. 4^2+5^2=16+25=41<49
B. 5^2+7^2=25+49=74>64
C. 6^2+7^2=36+49=85<100
D. 7^2+9^2=49+81=130<144
3. Correct answer: only B
THe answer is -7+1i.
I just did the assignment as well, hope this helps!
If it is y = love 2x:
<span>y = log_2 (x) =====> when x = 1/2
y = log_2 (1/2)
y = -1 ======> (1/2 , -1)
y = log_2 (x) =====> when x = 1
y = log_2 (1)
y = 0 ======> (1 , 0)
y = log_2 (x) =====> when x = 2
y = log_2 (2)
y = 1 ======> (2 , 1)
y = log_2 (x) =====> when x = 4
y = log_2 (4)
y = 2 ======> (4 , 2)
y = log_2 (x) =====> when x = 8
y = log_2 (8)
y = 3 ======> (8 , 3)
y = log_2 (x) =====> when x = 16
y = log_2 (16)
y = 4 ======> (16 , 4) </span>
Answer:
- i
Step-by-step explanation:
Given
Multiply numerator/ denominator by i
= [ i² = - 1 ]
=
= - i