Answer:
52.5
Step-by-step explanation:
it is simple. very simple
A. No, because if you add 76.5 and 4.32, you'll get 80.82 instead of 72.18.
B. Yes, because if you add 72.18 and 4.32 you'll get 76.5
C. No, because if you substract 4.32 from 72.18, you'll get 67.86 instead of 76.5.
D. No, because if you add 76.5 and 72.18, you'll get 144.65 instead of 4.32.
Correct answer: B
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:
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx - (-3/7\pi)x]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20-%20%28-3%2F7%5Cpi%29x%5D%7D%20%5C%2C%20dx)
![\rm Area = \int\limits^{7\pi/6}_0 {[sinx +3x/7\pi ]} \, dx](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%5Climits%5E%7B7%5Cpi%2F6%7D_0%20%7B%5Bsinx%20%2B3x%2F7%5Cpi%20%5D%7D%20%5C%2C%20dx)
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:
brainly.com/question/18125359
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7.
remember
(ab)/(cd)=(a/c)(b/d)
we can split them up
and
(x^m)/(x^n)=x^(m-n)

=

9.
2 to 3
4(x-1)=15
to
4x-1=15
the distribuutive prperty
a(b-c)=ab-ac
what he did was
a(b-c)=ab-c
he did not distribute the 4 to the -1
4(x-1)+3=18
minus 3
4(x-1)=15
distribute 4 to x and -1
4x-4=15
add 4 to both sides
4x=19
divide by 4
x=19/4