| 3x - 1 | + 7 = 2
| 3x - 1 | = 2 - 7
| 3x - 1 | = -5.....no solution because an absolute value cannot equal a negative number.
| 2x + 1 | + 4 = 3
| 2x + 1 | = 3 - 4
|2x + 1 | = -1...same thing...no solution..cannot equal a neg. number
so Eq. 1 and Eq. 2 both have NO SOLUTIONS :)
Answer:
The patient owe $1255.6 .
Step-by-step explanation:
As given
A patient's total surgery charges are $1,278.
The patient must pay the annual deductible of $1,000.
The policy states a 80-20 coinsurance. (i.e 20% of the surgery amount is given by the patient .)
20% is written in the decimal form .

= 0.20
20% of patients surgery cost = 0.20 × $1278
= $ 255.6
Patients owe = Deductible cost + 20% of patients surgery cost
= $1000 + $255.6
= $ 1255.6
Therefore the patient owe $1255.6 .
Answer:
x = 1±2i
Step-by-step explanation:
(x - 1)^2 = -4.
Take the square root of each side
sqrt( (x - 1)^2) = sqrt(-4)
Sqrt(ab) = sqrt(a)sqrt(b)
We know the sqrt(4) = 2 and the sqrt(-1) = ±i
x-1 = ±2i
Add 1 to each side
x-1+1 = 1±2i
x = 1±2i
Answer:

Step-by-step explanation:
First, let us find the gradient of AB:
Gradient of AB = 
= 
We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:
(Gradient of perpendicular bisector)(
) = -1
Gradient of perpendicular bisector = 
Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,
Coordinates of intersection = (
,
)
= ( 2, 1 )
Now, we can construct our equation. The equation of a line can be formed using the formula
where
is the gradient and the line passes through
. Hence by substituting the values, we get:


<u />
You just need to isolate it, hope this explains it