Question

Draw the graph of 2x + 3y = 12 and 2y –1 = x on a graph paper, shaded the region between lines and x-axis. Also, find the area of shaded region. correct answer will get brainlist

Answer 1

Answer:

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

hope it helps you.

Answer 2

Step-by-step explanation:

Given:

$2x + 3y = 12 \:...eq1\\ 2y - 1 = x\:...eq2$

To find: Draw the graph of 2x + 3y = 12 and 2y –1 = x on a graph paper, shaded the region between lines and x-axis. Also, find the area of shaded region.

Solution:

Step 1: Find two points of eq1

Put x=0

$2(0) + 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4$

A(0,4)

Put y=0

$2x + 3(0) = 12 \\ \\ 2x = 12 \\ \\ x = 6$

B(6,0)

Mark these points on graph.

Step 2: Find 2 points of second line.

Put x=0

$2y - x = 1 \\ 2y - 0 = 1 \\ \\ y = \frac{1}{2} \\ \\ y = 0.5$

C(0,0.5)

Put y=0

$2(0) - x = 1 \\ \\ - x = 1 \\ \\ x = - 1$

D(-1,0)

Mark these points on same graph and draw both lines.

Step 3: Shaded the region between lines and x-axis.It is ∆DEB.

Step 4: Find the area of Shaded region.

Area of ∆DEB=1/2×BASE×HEIGHT

Base=DB= 7 units

Height = FE= 2units

Area of ∆DEB=1/2×7×2

=7 sq-units

Area of ∆DEB = 7 sq-units

Final answer:

Area of ∆DEB = 7 sq-units

Intersection of lines are (3,2)

Hope it helps you.

To learn more on brainly:

1)solve the following system of linear equation graphically: 3x+y-11=0 and x-y-1=0

shade the region bounded by these lines...

https://brainly.in/question/3050092

2) Solve the following pair of linear equations graphically. Also write the observations.

(i) x + y = 1 ; 2x - 3y = 7

https://brainly.in/question/41675964