Thanks for the question!
The equation is:
(Note that the last term is x+4, not x+5)
x + (x+1) +(x+2) + (x+3) + (x+4) = 110
5x + 10 = 110
Solving:
5x = 100
x = 20
So the fourth term is:
20 + 3
23
Hope this helps!
Answer:
Step-by-step explanation:
If in doubt, multiply them out.
(-i)^4 = i^4 = 1 . . . . . results for ±i
(-1)^4 = 1^4 = 1 . . . . . results for ±1
An even power of a negative number is equivalent to the same power of the opposite (positive) number. The even number of minus signs cancel in the final product.
_____
In trig form, unity is 1∠(n·360°) . . . . . for n = any integer
Then the 4th root is ...
1^(1/4) ∠(n·360°/4) = 1 ∠(n·90°) . . . . for n = 0...3 (angles repeat after that)
That is, the roots are ...
- 1∠0° = 1
- 1∠90° = i
- 1∠180° = -1
- 1∠270° = -i
Of these, all but the first are listed among your answer choices. The appropriate selection is <em>all of the above</em>. (recognizing that not all of the appropriate choices are "above" that answer selection).
Answer:
length = 10 in, width = 6 in
Step-by-step explanation:
Let the width be x.
Then, length = (x+4)
Area = 60 in²
Area of a rectangle = width × length
60 = x × (x+4)
60 = x² + 4x
x² + 4x - 60 = 0
Splitting the middle term :-
x² + 10x - 6x - 60 = 0
x (x + 10) - 6 ( x + 10) =0
(x + 10) ( x - 6)
x = -10 (doesn't fulfill our requirement)
x = 6
So, width = 6 in
length = 6+4 = 10 in
Answer:
7/78 as decimal is approximately: 0.08974
Answer:
x = a - 5
Step-by-step explanation:
3x - a = 2x - 5 ( subtract 2x from both sides )
x - a = = 5 ( add a to both sides )
x = a - 5