Answer:
- 3108
Step-by-step explanation:
The sum to n terms of an arithmetic series is
= 
[ 2
+ (n - 1)d ]
Substitute the given values into the formula
= 
[ (2 × - 26) + (23 × - 9) ]
= 12 ( - 52 - 207 )
= 12 × - 259 = - 3108
Answer:
B.
The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.
The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.
__
Step-by-step explanation:
You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:
-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6
-3 > x +4 > 3 . . . . . . .divide by 2
-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.
___
The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.
-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.
__
These descriptions match choice B.
<span>-2i + (9 − 3i) − (6 − 10i)
-2i - 3i + 10i + 9 - 6
5i + 3
3 + 5i</span>
Answer:
Equation: x + 16 + 13 + x = 21 ; x = -4
Step-by-step explanation:
x + 16 + 13 + x = 21 (Given)
2x + 29 = 21 (Added like terms)
2x = -8 (Subtracted 29 on both sides)
x = -4 (Divided 2 on both sides)
Answer:
The correct is choice B.
Step-by-step explanation:
π/6 is an angle located in the first quadrant. Consequently, the equivalent angle for which it references should also be located in this same quadrant and is obtained by adding 2π to π/6 which becomes 13π/6
