Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home
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Answer:
(2,2) is the solution of the given lines.
Step-by-step explanation:
Given that,
y = x ..(1)
y = 3x-4 ...(2)
We need to find the coordinates of the point of intersection.
From equation (1) and (2).
x=3x-4
4 = 3x-x
4 = 2x
x = 2
Also,
y = 2
<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>
The area of the region shown in the coordinate plane is 2.7823 units square.
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
It is given that:
The graph of a function:
y = sinx
And a line segment passed through:
(0, 0) and (7π/6, -1/2)
First, find the equation of the line:
y = (-1/2)/(7π/6)[x]
y = (-3/7π)x
The area by definite integration:
After solving the above definite integral:
Area = 2.7823 units square
Thus, the area of the region shown in the coordinate plane is 2.7823 units square.
Learn more about integration here:
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