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IceJOKER [234]
3 years ago
5

a square poster of length 3x is going to have a square painting centered on it. The length of the painting is 2x. the area of th

e poster not covered by the painting will be painted black. what is the area of the poster that will be painted black?
Mathematics
1 answer:
eduard3 years ago
3 0
One way to solve this is to look at the size of the poster, and then subtract the size of the picture so you have the area that needs to be painted left.

Area of square poster - 3x × 3x = 9x^2
Area of painting - 2x × 2x = 4x^2

9x^2 - 4x^2 = 5x^2

The area is 5x^2
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marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
3 years ago
Combine like terms fir the following expression: -3x+14-11+11x
babymother [125]

Answer:

8x + 3

Step-by-step explanation:

In the expression -3x + 14 - 11 + 11x, we have two pairs of like terms that can be combined together:

-3x, 11x

14, -11

If we rewrite this expression with the like terms together, it would look like this:

-3x+11x + 14-11

To make the addition of -3x and 11x easier, we could switch their places in the expression to make it look like this:

11x-3x + 14-11

(Note: Even though we are switching the terms' places, the -3x still keeps its negative sign when you move it around.

11x-3x is 8x and 14-11 is 3.

Therefore, the expression -3x + 14 - 11 + 11x can be simplified by combining like terms into 8x + 3.

7 0
3 years ago
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Answer:

Step-by-step explanation:

if the result is multiple of 3 then the answer would be 1 by 4

and if the result is a multiple of 4 then the answer would be 1 by 3

3 0
3 years ago
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Assoli18 [71]

Answer:

It is moved one unit to the right.

Step-by-step explanation:

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Step-by-step explanation:

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