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:
Slope: 0
Step-by-step explanation:
(-3,5) (4,5)
y2-y1/x2-x1
5-5/4+3=0/7
0/7 simplifies to 0.
So the slope of the line (-3,5) (4,5) is 0.
Hope this helps! ;)
Answer:
1 and 2/3 I think- I hope this helps
Answer:
P(t)= 100t + 150
Step-by-step explanation:
If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.
I hope this helped you. If it did Brainilest is appreciated.
<u>Answer</u>
2,268
<u>Explanation</u>
<u>
</u>
<u>By grouping 378 ca</u>n be written as,
378 = 300 + 70 + 8
6× 378 = 6 × (300 + 70 + 8)
= (6×300)
+ (6×70) + (6×8)
= 1800
+ 420 + 48
= 2,268
