Answer:
Step-by-step explanation:
Solution in the attachment box
Draw the triangles it is important
The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
Learn more about equation of the line here
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Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of ().
Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.
Knowing this you can plug in the corresponding i values into () and sum it all together
() + () + ()
() + () + ()
() + () + ()
(8) + (2) + ()
10 +
10.5
Hope this helped!
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Answer:
Here's an example of long division:
Step-by-step explanation:
Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.
Hope this answers your question!
1. One Solution: Slopes:1 and -1 y-ints:1 and 2
2. Many: Slopes:1 and 1 y-ints:1 and 1
3. Undefined: Slopes:1 and 1 y-ints:1 and 2
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