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Vilka [71]
3 years ago
8

What is the general form of the equation of a circle with its center at (-2 ,1) and passing through (-4, 1)

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
The equation of a circle is (x - h)² + (y - k)² = radius²
where the center is represented by (h, k).

So to plug in:
(x - (-2))² + (y - 1)² = radius²
(x + 2)² + (y - 1)² = radius²

To find the radius, you can do the distance formula OR (and I suggest this one) use common sense. The center and point given have the same Y-value meaning they are in a horizontal line. Because of this, you can just find the distance between them (AKA your radius) by doing the absolute value of their difference:

|- 4 - (-2)| = |- 4 + 2| = |-2| = 2

Just to show order doesn't matter:
|- 2 - (-4)| = |- 2 + 4| = |2| = 2

Your radius is 2. Plug this into your equation and simplify.

(x + 2)² + (y - 1)² = (2)²

Your answer is:
(x + 2)² + (y - 1)² = 4
USPshnik [31]3 years ago
6 0

Answer:

The above answer is correct, he just didn't put it in the form you specifically wanted, the true answer is x^2+y^2+4x-2y+1

Step-by-step explanation:

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It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.

Instead of \frac{KN}{K'N'}, it should be \frac{K'N'}{KN}. That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.

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The ratio to cats at an animal shelter 3:1. if there are 56 dogs and cats in all, how many more dogs than cats are there??
Black_prince [1.1K]

Answer:

There are 28 more dogs than cats at the animal shelter.

Step-by-step explanation:

If the ratio of dogs to cats at an animal shelter is 3:1, that means there are 3 dogs for every 1 cat.

The way I think about it is I try multiplying every number by 3 and 1, kind of like process of elimination.

After using every number from 1-13, I finally got to 14. Now, 3 x 14 = 42 and 1 x 14 = 14. Add 42 + 14 and you will get 56.

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