Highschool surds maths

Answers

Answer 1

Answer:

$\cfrac{8-√(18)}{√(2)}~~ = ~~a+b√(2) \n\n[-0.35em] ~\dotfill\n\n \cfrac{8-√(18)}{√(2)}\implies \cfrac{8-√(18)}{√(2)}\cdot 1\implies \cfrac{8-√(18)}{√(2)}\cdot \cfrac{√(2)}{√(2)}\implies \cfrac{(8-√(18))(√(2))}{(√(2))(√(2))}$

$\cfrac{8√(2)-√(18)\cdot √(2)}{√(2^2)}\implies \cfrac{8√(2)-√(18\cdot 2)}{2}\implies \cfrac{8√(2)-√(36)}{2} \n\n\n \cfrac{8√(2)-6}{2}\implies \cfrac{8√(2)}{2}-\cfrac{6}{2}\implies 4√(2)-3\implies -3+4√(2) \qquad \begin{cases} a=-3\n b=4 \end{cases}$

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How do I show the distributive property for 6x7

Answers

6*7

=6(1+1+1+1+1+1+1)

=6*1+6*1+6*1+6*1+6*1+6*1+6*1

=6+6+6+6+6+6+6

=42

the answer is 42 because there is no other numbers in parentheses

Click to see the full picture please help I don’t get this

Answers

Step-by-step explanation:

$- 3(2x + 4) + 4x = 3x + 10$

or,

$- 6x - 12 + 4x = 3x + 10$

or,

$- 12 - 10 = 3x + 6x - 4x$

or,

$- 22 = 5x$

$- 22 / 5 = x$

$x = - 22 / 5 \: \: ans$

20,612,439 scientific notation

Answers

The scientific notation of the population is $2.0*10^(7)$ .

It is required to find the solution.

What is Scientific notation?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too.

Given :

The given number is

20,612,439

in scientific notation is

$2.0*10^(7)$

Move the decimal point so that there is seven non-zero digit to the left.

Hence, the scientific notation of the population is $2.0*10^(7)$ .

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Answer:

2.0612439 x 10 to the 7th power

Step-by-step explanation:

Express the fractions one half 3/16 and 7/8 with the lowest common denominator

Answers

one half would be 8/16, 7/8 would be 14/16, and 3/16 would stay as 3/16. 16 is the common denominator between all of the fractions.

What is the value of the expression below when w=5w=5? 4w+9 4w+9

Answers

Using the order of operations ( PEMDAS ), the value of the expression is 29.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We need to find the value of the expression below when w = 5w = 5.

Using the order of operations ( PEMDAS ),

Then substitute 5 where the w goes in the expression.

4w+9 = 4 • 5 + 9

4w+9 = 20 + 9 = 29

Using the order of operations ( PEMDAS ), the value of the expression is 29.

Learn more about simplification;

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Answer:

Step-by-step explanation:

substitute 5 where the w goes in the expression.

It should look like 4 • 5 + 9

Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29

If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?Set A has more elements in it than set B.
Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.

Answers

A ⊂ B means all of A is in B

but then it says A ∩ B = θ meaning they have nothing in common, ie, none of A is in B or vice versa

A must be the empty set for both these conditions to hold. B could be anything you want. B could be empty, or it could not be. It's impossible to tell.

For certain, A must be empty. Which is why the answer is choice C

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