A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of
the clock to the nearest whole number?
1 answer:
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Answer:
x = 2
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
→ Expand the brackets
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
⇒ Substitute in the values
⇒ Simplify
⇒ Simplify further
0 = 0
The solution x = 2 is correct