A: (x + 5i)^2
= (x + 5i)(x + 5i)
= (x)(x) + (x)(5i) + (5i)(x) + (5i)(5i)
= x^2 + 5ix + 5ix + 25i^2
= 25i^2 + 10ix + x^2
B: (x - 5i)^2
= (x + - 5i)(x + - 5i)
= (x)(x) + (x)(- 5i) + (- 5i)(x) + (- 5i)(- 5i)
= x^2 - 5ix - 5ix + 25i^2
= 25i^2 - 10ix + x^2
C: (x - 5i)(x + 5i)
= (x + - 5i)(x + 5i)
= (x)(x) + (x)(5i) + (- 5i)(x) + (- 5i)(5i)
= x^2 + 5ix - 5ix - 25i^2
= 25i^2 + x^2
D: (x + 10i)(x - 15i)
= (x + 10i)(x + - 15i)
= (x)(x) + (x)(- 15i) + (10i)(x) + (10i)(- 15i)
= x^2 - 15ix + 10ix - 150i^2
= - 150i^2 + 5ix + x^2
Hope that helps!!!
Answer:
2
Step-by-step explanation:
The order (or degree) of rotational symmetry of a rhombus is 2. This is because it looks the same only when rotated 0° or 180° (2 angles, total).
Answer:
The scale used to draw the plan is 1: 200.
Step-by-step explanation:
Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:
12 m = 12 cm x 100 = 1200 cm
1200/6 = 200
Therefore, the scale used to draw the plan is 1: 200.
