We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
48
2
avatar

In a rectangular coordinate system, the line 3y=x intersects the line 2x + 5y = 11 at point A. What is the sum of the coordinates of point A?

 

 

A triangular region is bounded by the two coordinate axes and the line given by the equation 2x+y=6. What is the area of the region, in square units?

 Apr 10, 2019
edited by Guest  Apr 10, 2019
 #1
avatar+101084 
+1

x = 3y

2x + 5y  = 11          sub the first equation into the second  for x

 

2(3y) + 5y = 11

6y + 5y = 11

11y = 11

y = 1

 

An d  x  = 3(1)  = 3

 

So  A  = (3, 1)   .....sum of coordinates  =  4

 

 

cool cool cool

 Apr 10, 2019
 #2
avatar+101084 
+1

Second one....the idea here is to find the x and y intercepts  of the line

 

x intercept....let y = 0

2x + 0 = 6

2x = 6

x = 3

 

y intercept......let x = 0

2(0) + y = 6

y = 6

 

 

Triangle area  =    (x int) (y int) /2    =     (3) (6) / 2   =   9  units^2

 

 

cool cool cool

 Apr 10, 2019

6 Online Users

avatar
avatar