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pantera1 [17]
3 years ago
10

Which of the following rules best describes the matrix below

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

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Which of the following statements is false?
kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0
2 years ago
two blocks of wood are shaped as right rectangular prism the smaller block has a length of 9 cm and a width of 3 cm and a height
AlexFokin [52]

Answer:

1512 cm³

Step-by-step explanation:

Formula

Volume of right rectangular prism = Length × Breadth × Height

As given

Two blocks of wood are shaped as right rectangular prisms.

The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.

As given

The dimensions of the larger block are double the dimensions of the smaller block.

Length of the larger block = 2 × Length of the smaller block

                                           = 2 × 9

                                           = 18 cm

Breadth of the larger block = 2 × Breadth of the smaller block

                                           = 2 × 3

                                           = 6 cm

Height of the larger block = 2 × Height of the smaller block

                                           = 2 × 7

                                           = 14 cm

Put in the formula

Volume of larger wooden block = 18 × 6 × 14

                                                    = 1512 cm³

Therefore the volume of the wooden block is 1512 cm³ .

7 0
2 years ago
Read 2 more answers
Which of the following identifies when food is most susceptible to bacteria and microorganism growth?
snow_lady [41]
The correct answer is summer because of heat
4 0
2 years ago
At which x-value does the cosine function attain a maximum value?
Liono4ka [1.6K]

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

It can help to keep a graph of the cosine function in mind. It starts off at its maximum value at x = 0.

7 0
2 years ago
Which of the following correctly uses absolute value to show the distance between -60 and 13? (5 points)
Sauron [17]

Answer:

l-60 – 13| = |-73| = 73 units

Step-by-step explanation:

Required

Distance between -60 and 13

Using absolute values, distance is calculated as:

Distance = |Start - End|

Where

Start = -60

End = 13

So, we have:

Distance = |-60 - 13|

Distance = |-73|

Take absolute value of -73

Distance = 73

<em>Hence, option A answers the question</em>

4 0
2 years ago
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