Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )
Answer:
the probability is 4/9 (44,44%)
Step-by-step explanation:
Assuming that each point inside the square is equally probable, then the probability is uniformly distributed in area of the square. Thus
probability = area where condition is true / total area of the square
for a circle of radius 1/3 inside the square ,the area where this condition is satisfied is a square with sides 1-1/3 = 2/3 , thus
probability = (2/3)²/1² = 4/9
thus the probability is 4/9 (44,44%)
Two forces act on the fish, and these are:
1) Its weight mg, downwards and
2) pressure in the string, T, upwards which is 22 N when the string breaks.
In the result of these two forces, the fish had an acceleration of 2.5 m/s^2 in
the upward way.
So, T - mg = m*2.5
=> m = T / (2.5 + g)
=> m > 22 / (2.5 + 9.8) ( when the string snaps )
=> m > 1.79 kg.
As a result, the mass of the fish is more than 1.79 kg as the line has been broken.
