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:1.414 rounded to the nearest thousandths
Step-by-step explanation:
The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
<h3>What is the ratio?</h3>
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4
Let 3x and 4x are the seeds from the smaller and bigger pile.
= 4x + 2 (greedy hamster placed another 2 pounds of seeds in the bigger pile)
= 3x - 1/4 (ate 1/4 pound from the smaller pile)
4x + 2 = 5x
Because the quantities of seeds in those piles is in the ratio of 5:16
After solving:
x = 2
Smaller pile weight = 3x = 3(2) = 6
Bigger pile wieght = 4x = 4(2) = 8
Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ1
Answer:
15:7
Step-by-step explanation:
you put the numbers in order first the number of on time trains to off time trains
