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
1/3 of 81 = 81 • 1/3 = 81/3 = 27
Answer:
504?
Step-by-step explanation:
I think, hopefully I did my math current
Answer:
9.81 times 10 to the -5th power
Step-by-step explanation:
I hope this helps, Mark me brainlist.
Answer:
-3 is the value of k in g(x)=kf(x)
Step-by-step explanation:
Both functions cross nicely at x=-3 so I'm going to plug in -3 for x:
g(x)=kf(x)
g(-3)=kf(-3)
To solve this for k we will need to find the values for both g(-3) and f(-3).
g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.
g(-3)=-3
f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.
f(-3)=1
So our equation becomes:
g(-3)=kf(-3)
-3=k(1)
-3=k
So k=-3.
