Answer: -4x+5>-5=x>2.5
-25>-5(x+2.5)=x<2.5
Step-by-step explanation:
-4x+5>-5 -25>-5(x+2.5)
-5 -5 -25>-5x-12.5
-4x>-10 +12.5 +12.5
/-4 /-4 -12.5>-5x
x>2.5 /-5 /-5
2.5>x
x<2.5
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
It could be many things like 30 + 4 = 34
