Answer:
Step-by-step explanation:
we know that
The area of a circle is equal to
In this problem we have
Substitute and find the area
Remember that
subtends the area of complete circle
so
by proportion
Find the area of the shaded regions
The central angle of the shaded regions is equal to 
Answer:
b
Step-by-step explanation:
83+37=129, 120÷24=5
Answer:
Option C is correct.
Step-by-step explanation:
Hope I helped!
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Answer:
b = 80
Step-by-step explanation:
Given that,
x² + bx - 81
To find,
value of b
What is factorable?
A polynomial equation with highest degree 2 is if factorable when
- we can find two terms which when multiples = -81x², <em> ( x² * - 81 = -81x² ) </em>
- and when add = bx
possible factors:
- -1x * 81x = -81x² (Accepted)
- 1x * -81x= -81x² (rejected)
- 9x * -9x = -81x² (rejected)
- -9x * 9x = -81x² (rejected)
Only when -1x , 81x is added -1x + 81x = 80x
so, bx = 80x
b = 80
<h3>The equation is x² + 80x - 81</h3>
Answer:
(0,-1),(1,0),(2,1),(3,2)
Step-by-step explanation:
We are given that a relation
y=x+1y=x+1
We have to find the four points contained in the inverse
The given function is linear function
Therefore,
Domain of function=R
Range of function=R
x=y-1x=y−1
Now, replace x by y and y replace by x
y=x-1y=x−1
Now, substitute y=f^{-1}(x)=f
−1
(x)
f^{-1}(x)=x-1f
−1
(x)=x−1
It is linear function and defined for all real values.
Substitute x=0
f^{-1}(0)=-1f
−1
(0)=−1
Substitute x=1
f^{-1}(1)=1-1=0f
−1
(1)=1−1=0
f^{-1}(2)=2-1=1f
−1
(2)=2−1=1
f^{-1}(3)=3-1=2f
−1
(3)=3−1=2
Therefore, four points contained in the inverse (0,-1),(1,0),(2,1) and (3,2)
