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:
840 mm
Step-by-step explanation:
multiply by 10
Answer:
<em>5 ≤ 4x - 2.5</em>
Step-by-step explanation:
<u>Inequalities</u>
The expression "no greater than" can be better expressed as "less or equal than".
The expression 4 times a number, being x the unknown number can be written: 4x
Thus, the equivalent inequality of the sentence is:
5 ≤ 4x - 2.5
