Answer:
The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3
Step-by-step explanation:
Let (x, y) be the coordinates of point of intersection.
Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)
and
y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)
Since this point lies on the line x-y-2=0
Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0
i.e. 8a+3–9a+1–2(a+1)=0
Or 8a+3–9a+1–2a-2=0
i.e.-3a+2=0
Hence a=2/3
hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1
i.e. 2:3
Answer:
She should earn 225 dollars.
Step-by-step explanation:
I know this because 50 ÷ 4 = 12.5 and 12.5 × 18 = 225.
Answer: option 1.

x f(x)
4 log (4) 4 = 1 ... because 4^1 = 4
16 log(4) 16 = 2 .... because 4^2 = 16
64 log (4) 64 = 3 .... because 4^3 = 64
Answer: D: X3
Step-by-step explanation:
Answer:
or 
Given expression:
Simplify it in steps below:
<u>Used properties:</u>


