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2 years ago

Create truth table to determine whether or not the following statements are logically equivalent

Mathematics

1 answer:

otez555 [7]2 years ago

4 0

The statement is totally false.

$\neg P\lor\neg Q \equiv \neg(P \land Q) \not\equiv P\land Q$

because (P and ¬P) is a contradiction.

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A 2X2 square is centered at the origin. It is dilated by a factor of 3. What are coordinates of the vertices of the square?

Vesna [10]

Answer:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1), B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

7 0

3 years ago

Determine the perimeter of quadrilateral CGHI

Murljashka [212]

Answer:

if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8

Step-by-step explanation:

just add them together

5 0

2 years ago

Which function has a greater rate of change that the function represented in the table

Galina-37 [17]

I don't see a table

3 0

2 years ago

if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?

Alecsey [184]

Answer:

Step-by-step explanation:

Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.

f(x) = x^2

f(x + 4) = (x + 4)^2

To show you this in graphical form, see below.

Red: f(x) = x^2

Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph

3 0

2 years ago

Answer the two questions below

STALIN [3.7K]

Answer:

3: No

4: 25

Step-by-step explanation:

3: It won't because not everyone is the same height and there will be variation in the mean height.

4: A larger sample size will give a more accurate representation of the population, where as a sample size of 5 is much more likely to have a higher percentage of outliers, and each outlier matters much more in finding the mean. In a sample size of 25, each outlier matters much less.

8 0

1 year ago