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3 years ago

Which statement would produce a tautology?

1 answer:

3 0

Tautology is when something is repeated in a sentence but using different words. It can be used to enrich the sentence but also it can be needless repetition.

5 statements that would produce a tautology:

1. Lets order a toast sandwich.
2. In my opinion, I think he is right.
3. The Gobi is a very dry desert.
4. The hurricane hit in 3 p.m. in the afternoon.
5. Don't worry, everything is well and good.

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If a triangle has at least two congruent sides, it is an isosceles triangle. An equilateral triangle has three congruent sides.

Bingel [31]

B. An equilateral is an isosceles triangle

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3 years ago

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Between which pair of numbers is the exact product of 379 and 8 ?

ella [17]

387

Hope this helped!!!!!

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3 years ago

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Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.

Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

The order of matrix is not given.

It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

→I=[1]

→a=2

Let , v be the corresponding eigenvector of the given eigenvalue.

→[a-I] v=0

→[2-1] v=[0]

→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

We have to find solution of the system

→Ax=v

→[2] x=0

→[2 x] =[0]

→x=0, is one solution of the system.

5 0

3 years ago

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the

Paladinen [302]

Answer:

Step-by-step explanation:

I believe

-3^2 + -4^2

9+16=25

7 0

3 years ago

What is the equation of the graph

AveGali [126]

Answer:

$y = 2x^2 + 1$

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

$y = a*x^2 + b$

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

$3 = a * (1)^2 + 1\\2 = a$

Awesome, we've found both values. And we can write the result.

$y = 2x^2 + 1$

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0

2 years ago