the answer is either A or B, probably C, maybe D. I know it's one of those 
 
        
                    
             
        
        
        
The line needs to be 8.06 m long
Explanation
Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.
The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base. 
base=4m
height=7m
hypotenuse can be determined using pythagoras law

 
        
             
        
        
        
5 girls, 5 boys...total of 10 students
P(1st pick is a girl) = 5/10 which reduces to 1/2
P(2nd pick is a boy) = 5/9 
P (both) = 1/2 * 5/9 = 5/18 <=
        
                    
             
        
        
        
There is no question here
        
             
        
        
        
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.
y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b
so ur perpendicular equation is : y = -1/3x + 3