Using <u>complex numbers and radicals</u>, it is found that the correct option is C.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
- Hence, since 8i is a root of the function, -8i is also a root.
The same is valid for radicals, as they are in the 
format.
- Since
is a root, 
is also a root.
Hence, option C is correct.
For more on <u>complex numbers and radicals</u>, you can check brainly.com/question/25173944
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
For example, |-3| would just be a 3 in general, no negative sign in the front.
hope this answers your confusion.
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
Percent change is 100%
Step-by-step explanation:
- Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft
Perimeter = 2 (length + width)
= 2 (6 + 4) = 2 × 10 = 20 ft
- Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)
Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft
- Step 3: Find the percent change in perimeter
Percent Change = Final value - initial value/Initial Value × 100
= (40 - 20/20) × 100
= 1 × 100 = 100%
