draw the graphs of the equations x - y = 1 and 2x = y = 8.
shade the area bounded by the two lines and y-axis. Also determine this area.
Answers
Answered by
1
Answer:
THIS IS YOUR ANSWER
Attachments:
Answered by
1
Answer:
AREA = 13.5 sq. units
Step-by-step explanation:
equation 1 : x - y = 1
let x = 0,
x - y = 1
0 - y = 1
y = -1
let y = 0,
x - y = 1
x - 0 = 1
x = 1
∴ coordinates for x - y = 1 are A (0, -1) and B (1,0)
equation 2 : 2x + y = 8
let x = 0
2x + y = 8
2(0) + y = 8
y = 8
let y = 0
2x + y = 8
2x + 0 = 8
x = 4
∴ coordinates for 2x + y = 8 are C (0,8) and D (4,0)
SHADED REGION IS A TRIANGLE.
So, Area of the shaded region = 1/2 × base × height
=> 1/2 × 9 × 3 = 13.5 sq unit
Attachments:
Similar questions