Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)





Now, Let GH = <em>x</em>

On rearranging,




So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
Answer:
The y intercept should be 2 lower than the original equation
Step-by-step explanation:
(4^2)^8 would be the answer 4^2=16 and 16^8 is the same thing
The greatest common factor is 6. Thus means we divide every part of the expression by 6.
6x^2/6 = x^2
42x/6 = 7x
-18/6 = -3
Your new expression is 6(x^2 + 7x -3).
The correct answer is A. x=22
Since the angles of a rectangle are right angles (90 degrees) you would set it up as 90=5x-20. Then combine like terms and solve the equation. (If you need me to show you how step by step tell me)