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Answer:

Step-by-step explanation:
In order for the triangle to be a right one we need every side to be of the same length. see the photo for furyher explanation.
Answer:
Range = (7,5,-1,-9)
Point 1 = ( -3, 7)
Point 2 = ( -2, 5)
Point 3 = ( 1, -1)
Point 4 = ( 5, -9)
Step-by-step explanation:
g(x)= 1-2x
The domain is x.
The range is y.
g(x) is the function.
To solve this you just input each number from the domain into the function.
g(x) = 1 - 2(-3)
-2 × -3 = positive 6
It is a positive because a negative multipled by a negative equals a positive. This means it is not 1-6 because it is not a negative, it would be 1+6.
1 + 6 = 7
g(x) = 1 -2(-2)
-2 × -2 = positive 4
1 + 4 = 5
g(x)= 1 - 2(1)
-2 × 1 = -2
Since it is multipled 1 time it will be -2. So the equation is still 1-2.
1 - 2 = -1
g(x)= 1 - 2(5)
-2 × 5= -10
A negative multipled by a positive is a negative.
1 - 10 = -9
Now that you have all the numbers put them in parentheses things like the domain
Range = {7,5,-1,-9}
To graph it you need to put in each point by finding the first number of the domain and range and that is your point.
The first point would be (-3,7) and so on and so forth.
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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I think there are 200 numbers as if we do 1000-800 (10-8 as there are only 2 numbers that can be divided by 5 exactly up to 10) that leaves 200 numbers