If the blue radius below is perpendicular to the green chord and the segment BC is 6.8 units long what is the length of the chord

Length of Chord = 13.6 units

Step-by-step explanation:

The question is incomplete because the picture of the circle is not attached in the question. Lets complete the question first. I've attached the diagram of the question below.

In the diagram, we can see the green chord and the blue radius, along with side BC which is 6.8 units.

We can say that the radius and chord make two right angled triangles which are ΔOBC and ΔOBA. (sorry for rough drawing)

Comparing both triangles.

OB is congruent to OB (common sides)

OA is congruent to OC (both are radius)

<OBC is congruent <OBA (both are 90°)

Hence, by the theorem of Side-Side-Angle congruency of triangles, we prove that both triangle are congruent.

As both triangles are congruent, BC = AB

As BC = 6.8

AB = 6.8

Length of Chord = BC + BA

Length of Chord = 6.8 + 6.8

Length of Chord = 13.6 units

there is no picture

step-by-step explanation:

put up a picture so people can you

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!