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Len [333]
3 years ago
15

List the perfect squares between 100 and 500 that are even numbers.

Mathematics
1 answer:
labwork [276]3 years ago
7 0
The perfect squares between 100 and 500 are:

100  (10²)

121  (11²)

144  (12²)

169  (13²)

196  (14²)

225  (15²)

256  (16²)

289  (17²)

324  (18²)

361  (19²)

400  (20²)

441  (21²)

and

484  (22²) .

The squares of odd numbers are odd.
The squares of even numbers are even.
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Step-by-step explanation:

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Find the distance between the following points using the Pythagorean theorem: (-5, 4) and (8, -3)
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First, draw a diagram to visualize the situation:

As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.

Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:

\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\  \\ =\sqrt{(8--5)^2+(-3-4)^2} \\  \\ =\sqrt{(13)^2+(-7)^2} \\  \\ =\sqrt{169+49} \\  \\ =\sqrt{218} \\  \\ \approx14.7648... \end{gathered}

Therefore, the distance between the points (-5,4) and (8,-3) is: √218.

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