Answer:
x = 5 and -6
Step-by-step explanation:
Using the intersecting chord theorem which states that the products of the lengths of the line segments on each chord are equal.
Hence:
let
a = 6, b = 5, c = x+1 and d = x
Therefore, ab = cd
6*5 = x(x+1)
30 = x²+x
x²+x - 30 = 0
x²+ 6x - 5x - 30 = 0
x(x+6) - 5(x+6) =0
(x-5)(x+6) = 0
x-5 =0 and x+6 = 0
x = 5 and -6
If 5 in and 8 in are legs:
hypotenuse = √(5²+8²) = √89 ≈ 9.4 in.
If 5 in is the leg and 8 in is the hypotenuse:
other leg = √(8²-5²) = √39 ≈ 6.2 in.
<span>The difference between the two possible lengths of the third side =
9.4 - 6.2 = 3.2 in.</span>
Okay well the way I do it is like this. When ever the next hour hits 10 minutes that is one hour then add the minutes left. So from 7:10a.m. to 6:10p.m. is 11 hours. Now the rest of the minutes. 6:35 -6:10=:25. So she has been away from the house for 11 hours and 25 minutes
It factors to (x+2) and (x+1) then the answers are -2 and -1
