Answer:
Even [ 10 is even ] ( 50 ÷ 5 = 10 )
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Answer: 22.4
Explanation:
The pieces of the chords multiply together to get the same result. This is from the intersecting chord theorem.
The first chord has pieces of 10 and x, which multiply to 10*x
This is equal to the other product found by multiplying the pieces 14 and 16 (from the other chord)
10*x = 14*16
10x = 224
x = 224/10 ... divide both sides by 10
x = 22.4
