The distance between both lines is 2.24 units
Step-by-step explanation:
There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.
Given

We have to find the distance of this point from y=2x+5

The formula for finding distance of a point (x,y) from a line is:

A=2
B=-1
C=5
Putting the values in the formula

Rounding off will give: 2.24 units
The distance between both lines is 2.24 units
Keywords: Equations of lines
Learn more about distance in lines at:
#LearnwithBrainly
 
        
             
        
        
        
Answer:
Step-by-step explanation:
A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:
   x ≥ 2y . . . . . pumpkin acres are at least twice corn acres
   x - y ≤ 10 . . . . the difference in acreage will not exceed 10
   12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18
   0 ≤ y . . . . . the number of corn acres is non-negative
__
B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...
   P = 360x +225y
__
C) see below for a graph
__
D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.
So profit is maximized for 18 acres of pumpkins and 9 acres of corn.
Maximum profit is $360·18 +$225·9 = $8505.
 
        
             
        
        
        
Answer:
1/2 and 9 is rational but 4 is not
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. 
Hope this helps <3 Wanna get ranked faster? Comment "rankup"