1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anzhelika [568]
1 year ago
9

The question is attached

Mathematics
1 answer:
Bingel [31]1 year ago
5 0

Answer:

We call the denominator rational.

Step-by-step explanation:

For example:

\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}

It's clear that the denominator is now a rational number, not an irrational one anymore.

You might be interested in
Need help with option 1 or 2
Pani-rosa [81]

Option 2.

1. Simplify 7 + (12 - 9) + 7 × 3(8 - 5)

According to the Order of Operations, contents of parentheses are evaluated first. This gives

... 7 + 3 + 7 × 3 × 3

Then multiplication and division are performed left to right.

... = 7 + 3 + 21 × 3

... = 7 + 3 + 63

Followed by addition and subtraction left to right.

... = 10 + 63

... = 73

A Google search box can be relied upon to do the operations in the correct order.

_____

2. When the expression is rewritten, a different result is obtained. This is because the operations indicated by the second set of parentheses are altered.

... (7 + 12) - 9 + (7 × 3)8 - 5

... = 19 - 9 + 21 × 8 - 5

... = 19 - 9 + 168 - 5

... = 10 + 168 - 5

... = 178 - 5

... = 173

In the first expression, both +8 and -5 are multiplied by 21. In the rewritten expression, only +8 is multiplied by 21.

7 0
3 years ago
The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts
oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0
2 years ago
What is the volume of a certain cube? (1) The sum of the lengths of the edges of the cube is 36. (2) The surface area of the cub
german

Answer:

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Step-by-step explanation:

All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.

To show how,

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

8 0
3 years ago
NEED HELP FAST!!!!
andrey2020 [161]
3x/5-0.5 = 1.9
      +0.5  +0.5
————————
3x/5 = 2.4
   x5     x5
___________
3x = 12
x = 4
7 0
2 years ago
A rectangle has a length of x and a width of x
Delvig [45]

Answer: Yes, because remember there is 2 lengths and widths so x times 2 is 2x and x - 5 times 2 is 2x - 10, so 2x + 2x -10 = 4x -10, so it would be a reasonable answer.

Step-by-step explanation: Hope this helps! :)

7 0
3 years ago
Other questions:
  • Which of the following triangles is a scalene triangle?
    9·2 answers
  • A textbook order was shipped in 3 identical boxes, each containing 8 pounds of books, and a fourth box containing 6 pounds of bo
    6·1 answer
  • What is the solution of the system of equations?<br> y = 3x - 4<br> - 3y = -9x + 12
    10·1 answer
  • Find a vector i normal to the plane 2x + y + 2z = 4
    5·1 answer
  • Nicasio realizes that she needs to be home in 60 seconds or she will miss her favorite TV program. Her house is 360 meters away.
    5·2 answers
  • PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
    6·2 answers
  • The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.
    11·1 answer
  • Class be boring but anyways what is ( 2 x 2 − 1 )?
    8·1 answer
  • Find the perimeter of this triangle pls
    12·2 answers
  • From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!