Answer:
The inequality
represents the length of the femur for which the woman had a height greater than 160cm.
Step-by-step explanation:
The given equation is

Where, h is woman's height in centimeters and f is length of the femur in centimeters.
If woman's height is greater than 160cm, then


Substract 60 from both sides.

Divide both sides by 2.5.

Therefore the inequality
represents the lengths of the femur for which the woman had a height greater than 160cm.
Answer:
x = -8
Step-by-step explanation:
(4 · x) - (4 · 6) + 6 = 6x - 2
4x - 24 + 6 = 6x - 2
4x - 18 = 6x - 2
Isolate x.
4x = 6x - 2 + 18
4x = 6x + 16
4x - 6x = 16
-2x = 16
x = 16 ÷ -2
x = -8
I hope this helps! :)
<u>Given</u>:
The equation of the circle is 
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is 
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation
to determine the center.
The given equation can be written as,

Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation
to determine the radius.
Hence, the given equation can be written as,

Comparing the two equation, we get;


Thus, the radius of the circle is 8