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Anastaziya [24]
3 years ago
9

Construct a truth table for (p ˄ ⌐q) ↔ (p ˄ q). Explain how this truth table shows whether this statement is a tautology, and co

ntradiction (absurdity), or a contingency.

Mathematics
1 answer:
lara [203]3 years ago
4 0

It's contingency, because for some values of p and q it's true, and for the other values, it's false.

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The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.

24÷8=3

So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.

135÷3=45

The area of the smaller pentagon is 45in²

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Step-by-step explanation:

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Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
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Answer:

d.\:ellipse;\:3x^2+y^2+6x-6y+3=0.

Step-by-step explanation:

The given conic has equation;

3x^2+y^2=9

Divide through by 9.

\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}

\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1.

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

(-1,3)

The translated ellipse has equation;

\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1.

Clear the fraction;

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Expand;

3(x^2+2x+1)+(y^2-6y+9)=9.

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Write in general form;

3x^2+y^2+6x-6y+9-9+3=0.

3x^2+y^2+6x-6y+3=0.

The correct choice is D

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