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3 years ago

Which of the following is two-dimensional and infinitely large?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

a plane

Step-by-step explanation:

A plane because it is two-dimensional and infinitely large.

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(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)

Taya2010 [7]

(a^3 - 2a + 5) - (4a^3 - 5a^2 + a - 2)
=a^3 - 2a + 5 - 4a^3 + 5a^2 - a + 2
= -3a^3 + 5a^2 - 3a + 7

6 0

3 years ago

Which of the following is an arithmetic sequence?

enot [183]

Answer:

The third sequence.

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

$4 - 2 = 2$ .
$8 - 4 = 4$ .
$16 - 8 = 8$ .

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

$4 - 12 = -8$ .
$\displaystyle \frac{4}{3} - 4 = -\frac{8}{3}$ .
$\displaystyle \frac{16}{3} - \frac{4}{3} = \frac{12}{3} = 4$ .

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle -\frac{3}{2} - \left(-\frac{1}{2}\right) = -\frac{3}{2} + \frac{1}{2} = -1$ .
$\displaystyle -\frac{5}{2} - \left(-\frac{3}{2}\right) = -\frac{5}{2} + \frac{3}{2} = -1$ .

The differences are all $-1$ . As a result, this option is indeed an arithmetic sequence. Its common difference is $(-1)$ .

Fourth option:

$\displaystyle -\frac{1}{2} - \frac{1}{2} = -1$ .
$\displaystyle \frac{1}{2} - \left(-\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{2} = 1$ .
$\displaystyle -\frac{1}{2}\right - \frac{1}{2} = -1$ .

The differences are varying between $1$ and $-1$ . As a result, this option is not an arithmetic sequence.

3 0

3 years ago

Someone please help me with this

tatiyna

B similar AA criteria
there are two angles that measure the same and according to the AA criteria that means the two triangles are similar.

6 0

4 years ago

-3 1/2 - ( 4 1/4) whats the answer?

Anna11 [10]

Answer:

Exact form: -31/4 , Decimal form: -7.75 , Mixed number form: -7 3/4

Step-by-step explanation:

Hope this helps.

3 0

3 years ago

Read 2 more answers

If angle PQR and angle RQS form a linear pair and angle PQR =5x+5 and angle RQS =11x-65 then angle PQR=?

Mama L [17]

Answer:

m<PQR = 80°

Step-by-step explanation:

Points to remember

Sum angles in a linear pair is 180

To find the value of x

It is given that, angle PQR and angle RQS are linear pairs, and

m< PQR =5x+5 and m<RQS =11x-65

m<PQR + m<RQS = 180

5x + 5 + 11x - 65 = 180

16x -60 = 180

16x = 180 + 60

16x = 240

x = 15

To find the value of angle PQR

m<PQR = 5x + 5

= 5*15 + 5

= 75 + 5 = 80

Therefore m<PQR = 80°

3 0

3 years ago