The points (8,0) and (-8,c) fall on a line with a slope of 1/8. what is the value of c? c=

c = - 2

Step-by-step explanation:

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (8, 0) and (x₂, y₂ ) = (- 8, c)

m = = =

cross- multiplying gives

8c = - 16 ( divide both sides by 2 )

c = - 2

Step-by-step explanation:

When we observe the figure there are two semicircles , one of radius 14cm . And other will be of 14cm/2 = 7cm ( Since the 2nd semi circle is drawn taking radius of 1st semicircle as diameter.)

Now join T to the center of 2nd semi circle . Therefore , we have

Now , looking at the figure we know that radius is perpendicular to the tangent at point of contact . Here TR is tangent . Therefore ∆TRM is right angled triangle. Using Pythagoras Theorem we have,