Answer:
x=−4/3 or x=−3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+17x+12=0
Step 1: Factor left side of equation.
(3x+4)(2x+3)=0
Step 2: Set factors equal to 0.
3x+4=0 or 2x+3=0
x=−4/3 or x=−3/2
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
Answer:
Problem B: x = 12; m<EFG = 48
Problem C: m<G = 60; m<J = 120
Step-by-step explanation:
Problem B.
Angles EFG and IFH are vertical angles, so they are congruent.
m<EFG = m<IFH
4x = 48
x = 12
m<EFG = m<IFH = 48
Problem C.
One angle is marked a right angle, so its measure is 90 deg.
The next angle counterclockwise is marked 30 deg.
Add these two measures together, and you get 120 deg.
<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.
Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.
m<G = 180 - 120 = 60
Expanding the left side gives
which gives two solutions,
and
. But if
, then
, but this number isn't real, so
is an extraneous solution. Meanwhile if
, you get
, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4pi/2pi = x/360
use a proportion
2 radians equals 360 degrees
x = 720 degrees
