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shusha [124]
3 years ago
5

EASY BRAINLIEST!

Mathematics
2 answers:
jekas [21]3 years ago
8 0

The correct answers are;

A. 3x^{2} =9

C. 4x^{2} =16

E. 13x^{2} =169

F. 25x^{2} =625

Hope this helps!!!!

Lisa [10]3 years ago
7 0

To check which are the perfect squares we have factorise the number and make group of two if no factor remains after grouping then given number is perfect square.

9 = 3×3

Form group of number 3 thus is perfect square

24 = 3×2×2×2

As only pair of 2 form group, 3 and 2 left behind . So, 24 is not a perfect square

16 = 2×2×2×2 . There are two pairs of 2 and nothing left behind .

Thus 16 is a perfect square

200 =2×2×5×5×2 , there are pairs of 2 and 5, but number 2 left without pair

Therefore 200 is not a perfect square

169 = 13×13 ,form pair of 13 . Hence, is a perfect square

625=5×5×5×5, forms two pair of 5 . Therefore is perfect square

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Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(-5-(-2))^2+(3-1)^2}

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On further simplification, we get

r=\sqrt{9+4}

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The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

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Substitute h=-2, k=1 and r=\sqrt{13}.

(x-(-2))^2+(y-1)^2=(\sqrt{13})^2

(x+2)^2+(y-1)^2=13

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The LCM of 20 and 300 is 300.

<h3>How to find the LCM?</h3>

The multiple of 20 will be:

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The multiple of 300 will be:

300 = 300, 600, 900

Therefore, the lowest common multiple of 20 and 300 is 300.

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