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2 years ago

1 * w^3 how do you multiply these together

Mathematics

1 answer:

Zanzabum2 years ago

8 0

9514 1404 393

Answer:

w^3

Step-by-step explanation:

The multiplicative identity element is 1. That means 1 times anything is just that thing.

1 × w^3 = w^3

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Additional comment

That is one of the reasons why a coefficient of 1 is (almost) never shown.

In algebra, multiplication can be indicated a number of ways.

ab . . . . placing values next to each other (sometimes with a small space)

(a)(b) . . . . placing values next to each other with either or both in parentheses

a·b . . . . . using a multiplication symbol between the values.

There are several different multiplication symbols in common use:

* — asterisk

· or • — centered dot

× — centered "x" multiplication symbol

x — the lower-case letter x (when it cannot be confused with a variable)

. — a period (when it cannot be confused with a decimal point). This is uncommon in the US, but is seen occasionally when some of the other symbols are not available. It is more common outside the US.

_____

The multiplication of a constant and a variable expression cannot actually be accomplished. It can only be "indicated." If you wanted to multiply 2*w^3, that product would be indicated in any of the ways described above. Perhaps the simplest and least-confusing to most people is ...

2w^3

Multiplying 1*w^3 can be indicated the same way: 1*w^3. In view of the special treatment given to a coefficient of 1, we would not simplify this to

1w^3

Rather, we would simplify it to ...

w^3

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-4y=-20x+40 y+10=5x

mart [117]

Answer:

infinitely many solutions

Step-by-step explanation:

We want to find solution to the system:

-4y=-20x+40

y+10=5x

We make y the subject in the second equation to get;

y=5x-10

We substitute y=5x-10 into the top equation to get:

$- 4(5x - 10) = - 20x + 40$

We expand to obtain;

$- 20x + 40= - 20x + 40$

This implies that:

$40 = 40$

Therefore the system has infinitely many solutions.

8 0

3 years ago

PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!

pychu [463]

Answer:

6) 6 $\sqrt{2}$

9) 40

10) $\frac{5\sqrt{2} }{2}$

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg* $\sqrt{2}$

9) Pythagorean Theorem

$a^{2} +b^{2} =c^{2}$

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

$\sqrt{41^{2}-9^{2} }$ which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by $\sqrt{2}$ because we know that if 2 legs are equal, the hypotenuse is multiplied by $\sqrt{2}$ . Multiply the numerator and denominator by $\sqrt{2}$ because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so $\sqrt{5^{2}+12^{2} }$ which gives us 13