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:
$4.88
Step-by-step explanation:
Jessica made $16 mowing a neighbors yard
She brought a craft kit for $7.37
16-7.37
= 8.63
She used $3.75 to buy food for a food drive
8.63-3.75
= 4.88
Hence the amount Jessica put in the savings account is $4.88
Answer:
The measure of minor arc GFC is 
Step-by-step explanation:
we know that
In a circle the sum of the major arc plus the minor arc is equal to 360 degrees
see the attached figure to better understand the problem
Let
x------> the major arc GEC
y-----> the minor arc GFC
so
we have
substitute in the equation and solve for y
Answer:
Option B
Step-by-step explanation:
Slope
And
These are acceleration
Y intercept is (0,2) as x coordinate is 0
This is initial velocity 2m/s
The runner stopped at 8s
Answer:
√124 simplifies to 2√31 ≈ 11.135529
Step-by-step explanation:
√124 = √(4·31) = (√4)(√31) = 2√31
A calculator can tell you the numerical value. It is an irrational number near ...
11.135528725660043844...
