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:
circumference is 81.68
area is 530.93
Step-by-step explanation:
C=2πr=2·π·13≈81.68141
A=πr2=π·132≈530.92916
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
X/x+9 (original fraction)
x+1/ x+10 = 4/13
x+1=4 so x=3 and x+10=13 so again x=3
now that you have the value of x, substitute it into the original fraction to get:
3/12
Answer:
a(n)= a(n-1) .10
Clearly see the equation
you can do it directly Apply logic
Every n th term is 10 times of previous n-1 th term
That is common ratio an/a(n-1)= 10
So, We have to find 4 th term
So, 4 th term is simply
1st term × (common ratio)^(4-1)
-11( 10)^3
-11000
Thanks