Hi again!
|2x - 3| - 1 > 4
|2x -3| > 4 + 1
|2x -3| > 5
Now let's solve the absolute value
We know either 2x -3 >5 or 2x -3<-5
Let's solve the first possibility
2x - 3 > 5
2x > 5+ 3
2x > 8
x > 8/2
x> 4
Now solve the second possibility
2x - 3 < -5
2x < -5 + 3
2x < -2
x < -2/2
x< -1
Thus the correct answer is x > 4 or x < -1
I used an online graphing calculator
I hope this helps again!
Width is x - 3
A
=
x
2
+
6
x
−
27
=
(
x
+
9
)
(
x
−
3
)
Obtuse angles are more than 90° and less than 180°
We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.






Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is
.
Therefore, the radius of given circle would be 18 cm.