9. Simplify: 6√18+3√50
2 answers:
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Answer:
d)
Step-by-step explanation:
i¹= i
i²= -1
i³= -i
i⁴= 1
i¹²⁴= i^(124 +0)
i^124 . i^0
i^(4×31) . i^0 = 1³¹. i^0
1.i^0= i^0
= 1
a) i^179= i^(176+3)
i^176 . i³ = i^(4×44) . i³
1⁴⁴. i³ = 1. i³
= -i
b) i^582 = i^(580 + 2)
i^580 . i²= i^(4×145) . i²
1^145 . i²= 1.i²
= -1
c) i^165= i^(164+1)
i^164 . i¹ = i^(4×41) . i¹
1⁴¹ . i¹ = 1.i
= i
d) i^740= i^(740+0)
i^740 . i^0 = i^(4×185) . i^0
1^185 . i^0 = 1. i^0
= 1
i¹²⁴= i^740 = 1
The answer is the option B: A'(3, -2), B'(3, -5), C'(2, -4).
The explanation is shown below:
1. You must apply the following rule of rotation when the figure is rotated 90° counterclockwise around the origin:
→
2. Then, as you can see, you must switch and
and multiply
by -1.
3. Keeping this on mind, you have that the vertices of the triangle A'B'C' are the following:
A(-2,-3)→A'(3,-2)
B(-5,-3)→B'(3,-5)
C(-4,-2)→C(2,-4)
4. Therefore, you can conclude that the answer is the option B.