Answer:
x = - 5/2 or x = - 3/2
Step-by-step explanation:
|-2(x+2|=1
|-2x-4|=1
- 2x - 4 = 1 or - 2x - 4 = - 1
- 2x - 4 = 1
- 2x = 4+1
x = - 5/2
or -2x - 4 = - 1
-2x = 4 - 1
x = - 3/2
Answer:

Step-by-step explanation:
<u>Given: </u>
line y=3x-1
point (-3,0)
<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)
<u>Solution:</u>
The slope of the given line is 
If
is the slope of perpendicular line, then

So, the equation of the needed line is 
Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The
and
.
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.




The measure inscribed angle is half of the corresponding subtended arc.



AB is the tangent. So,
because radius is perpendicular on the tangent and the point of tangency.




Therefore,
and
.
Answer:
future value = $49163.8
so required amount will be $491200 nearest $100
Step-by-step explanation:
given data
annual interest rate = 6 %
annuity = $300 per month
time period = 10 years
to find out
how much money will they have for the college expenses
solution
we know that effective rate will be
effective rate = 
effective rate = 5 × 
number of payment = 12 × 10 = 120
so future value will be express as
future value = annuity ×
.........1
future value = 300 × 
future value = 300 × 163.8793
future value = $49163.8
so required amount will be $491200 nearest $100