Answer:
-1.8 =x
Step-by-step explanation:
12(x+3)=-8x
Distribute
12x +36 = -8x
Subtract 12x from each side
12x-12x +36 = -8x-12x
36 = -20x
Divide each side by -20
36/-20 = -20x/-20
-9/5 = x
Changing to decimal form
-1.8 =x
Answer:
Angle 3 = 86.8
Angle 6 = 96.4
Angle 7 = 93.2
Step-by-step explanation:
Given :
angle 6 = 4x + 10
angle 7 = 2x + 40
=> angle 6 + angle 7 = 180° { linear pair }
=> 4x+10 +2x+40 = 180
=> 6x+50 = 180
=> 6x = 180-50
=> 6x = 130
=> x = 130/6
=> x = 21.6
so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4
the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2
now angle 7 = angle 4 + angle 5
and angle 3 + angle 4 + angle 5 = 180°
so, angle 7 + angle 3 = 180
=> 93.2 + angle 3 = 180
=> angle 3 = 180 - 93.2
=> angle 3 = 86.8
The values that make the denominator zero are not in the domain.
x²- 4x - 12 = 0
(x - 6)(x + 2) = 0
Answer: 6, -2
2-i. Complex roots always come in pairs (complex conjugates)