Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :



Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :




Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :






 
        
             
        
        
        
The length is two times its width, and the perimeter equals 24. 
All the sides added up equal 24.
4 and 8 could be the width and the length of the rectangle.
4*2= 8 and
4+4+8+8= 24
width= 4 length= 8
I hope this helps!
~kaikers
        
                    
             
        
        
        
Answer:
D
Step-by-step explanation:
Parallel lines have the same gradient.
A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.
If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.
AB= -1


Thus, option B is incorrect too.
Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.
 
        
                    
             
        
        
        
Answer:
400 m^2.
Step-by-step explanation:
The largest  area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20  = 400 m^2.
Proof:
Let the  sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter  2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A  we find the derivative and equate it to 0:
derivative A' =  40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20  
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
 
        
             
        
        
        
Answer:
The answer would round to 55%
Step-by-step explanation: