Line segment ON is perpendicular to line segment ML. What is the length of chord ML?

A) 20 units
B) 24 units
C) 26 units
D) 30 units

24 units

Step-by-step explanation:

OM = ON, so

OP= 13-8

That means OP is 5.

Using the Pythagorean Theorom to find MP:

5^2+b^2=13^2

25+b^2=169

b^2=169-25

b^2=144

B=12

This means MP =12.  ML is twice as long as MP. 12x2=24

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.