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natita [175]
2 years ago
11

There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can

’t use them for cooking. What is the maximum number of green apples I could have left to cook with?​
Mathematics
1 answer:
Gennadij [26K]2 years ago
5 0

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

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Read 2 more answers
Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

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

Where,

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So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

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Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

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Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

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