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Tasya [4]
2 years ago
8

Divide 32 in the ratio 5 : 3

Mathematics
1 answer:
allochka39001 [22]2 years ago
3 0

Answer:

53.3333.

Step-by-step explanation:

Since were asking to put 32 in the form of this ratio, we need to first turn the ratio into a fraction, in our case it is 5/3. Next we multiply 32 by 5/3 or to make it more simple multiply 32 by 5 to get 160, then divide 3 to get 53.3...

Hope this helps.

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How to factor x^3 - 4x^2 - 9x + 36 by grouping
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Answer:

(x-4) (x-3) (x+3)

Step-by-step explanation:

x^3 - 4x^2 - 9x + 36

Make 2 groups

x^3 - 4x^2            - 9x + 36

We can factor out x^2 from the first group and -9 from the second group

x^2 (x-4)    - 9(x-4)

Now factor out (x-4)

(x-4) (x^2 -9)

This may be an answer choice but we can still factor

(x^2 -9) is the difference of squares

(x^2-9) = (x-3) (x+3)

Replacing this

(x-4) (x-3) (x+3)

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Answer:

(x-3)^2+(y-7)^2=2\sqrt{13}

Step-by-step explanation:

The equation of a circle:

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

(h, k) - center

r - radius

We have the center (4, -3) and the point on the circle (9, -3).

The length of radius is equal to the distance between a center and an any point on a circle.

The formula of a distance between two points:

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

Susbtitute:

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The center (3, 7) → h = 3, k = 7.

Finally we have:

(x-3)^2+(y-7)^2=2\sqrt{13}

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