What is the sum of the series?

Mathematics

2 answers:

sveta [45]3 years ago

8 0

The answer is 90 hope i have helped

ella [17]3 years ago

5 0

The answer would be 90

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

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2 years ago

How do you write 2,252/ 1,000 as a percentage?

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225% 2252/1000 is a fraction so you divide and get 2.25 and move the decimal point over two to the right.

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Find the exact circumference of a circle with the given radius.

11Alexandr11 [23.1K]

Answer:

$6.5\pi\ in$