Answer: (6, 0) and (0, 8)
Step-by-step explanation:
Answer: r=√6 or r≈2.45.
Step-by-step explanation:
To find the radius, you first need to know the equation of a circle.
Equation of a circle:
Now that we know the equation of the circle, we can use it to find the radius of the given equation.
3.5(x+2.2)²+3.5(y-11.1)²-21=0
So far the equation looks pretty similar with the exception of the bolded areas. To get rid of them, we need to use our algebraic properties.
3.5(x+2.2)²+3.5(y-11.1)²-21=0 [add both sides by 21]
3.5(x+2.2)²+3.5(y-11.1)²=21 [factor out 3.5]
3.5((x+2.2)²+(y-11.1)²)=21 [divide both sides by 3.5]
(x+2.2)²+(y-11.1)²=6
Now, our equation is the same as the one posted above. You may think that 6 is our radius, but if you look closely, the equation is equal to r². Therefore, 6 is actually r², not r.
r²=6 [square root both sides]
r=√6
Finally, we have the final answer, r=√6 or r≈2.45.
Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
Answer:
24.8
Step-by-step explanation:
180-117.6 = 62.4
62.4 = 2x + 12.8
- 12.8 -12.8
------------------------
49.6 = 2x
/2 /2
------------------------
x = 24.8
Answer:
2
Step-by-step explanation:
it is talkin about 2
8 + 2 = 10
10 - 2 = 8