the solid line passes through (0,-3) and (0,9)
dotted line passes through (0,-3) and (0,-1)
see attached sketch
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
Answer:
length=45 m (2 sides = 90m)
Step-by-step explanation:
5x +3x=144
8x=144
x=18 (each of the 8 parts of 144 measure 18m)
5(18) + 3(18)=144
90 +54=144
90/2=45 (1 length side)
54/2=27 (1 width side)
The rectangle= 45+45 +27+27 = 144