Question

€mgi +tbsk+ hez$ multiply by +3X​ please g

Answer 1

Answer:

Answer:

7.5 sq.units

Step-by-step explanation:

Graph of the equation 2x + 3y - 12 = 0

we have,

2x = 12 - 3y2x=12−3y

→ `x=\frac{12- 3y }{2}x=

2

12−3y

Putting y = 4, we get `x ( 12 - 3 x 4)/2 = 0

Putting y = 2, we get `x = (12 - 3 x 2 )/2= 0

Thus, we have the following table for the p table for the points on the line 2x + 3y = 12

Plotting points A ( 0,4 ) , B (3,2) on the graph paper and drawing a line passing through them

we obtain graph of the equation.

Graph of the equation

Graph of the equation x-y - 1 :

We have x y = 1 = x = 1 y

Thus, we have the following table for the points the line x - y = 1

Plotting points C(1,0) and D (0,-1) on the same graph paper drawing a line passing through the m, we obtain the graph of the line represents by the equation x - y = 1

Clearly two lines intersect at A (3, 2)

The graph of time 2x + 3y = 12 = intersect with y-axis at B (0,4) and the graph of the line

X - y = 1 intersect with y axis at c ( = 0,-1).

So, the vertices of the triangle formed by thee two straight lines and y-axis are A (3,2) and

B( 0.4) and C (0,-1)

Now,

Area of `AABC = 1/2` [ Base x (x) = Height]

= 1/2 ( Bc x x AB)` =

= 1/2 ( 5 + 3)`

= 15/2

= 7.5 sq.units