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3 years ago

If vector "w" is -4j, what is || w || ?

Mathematics

2 answers:

Dmitry [639]3 years ago

8 0

4j because absolute value will make it positive

KIM [24]3 years ago

3 0

4j

after everything is simplified in the absolut value, it is all positive

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Two less than three times a number is equal to 19. What is the number?

EastWind [94]

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable <em>n</em> to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

8 0

3 years ago

Show me how to solve .384-.3798

-Dominant- [34]

Answer:

0.0042

Step-by-step explanation:

0.3840

- 0.3798

‐--------------

0.0042

‐--------------

8 0

3 years ago

If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides

german

The length of one leg is x inches.
The sum of the legs is 49 inches, so the length of the other leg is 49-x inches.
The length of the hypotenuse is 41 inches.

Use the Pythagorean theorem:
$(\hbox{one leg})^2 + (\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ x^2+(49-x)^2=41^2 \\
x^2+2401-98x+x^2=1681 \\
2x^2-98x+2401=1681 \ \ \ |-1681 \\
2x^2-98x+720=0 \\ \\
a=2 \\ b=-98 \\ c=720 \\ b^2-4ac=(-98)^2-4 \times 2 \times 720=9604-5760=3844 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-98) \pm \sqrt{3844}}{2 \times 2}=\frac{98 \pm 62}{4} \\
x=\frac{98-62}{4} \ \lor \ x=\frac{98+62}{4} \\
x=\frac{36}{4} \ \lor \ x=\frac{160}{4} \\
x=9 \ \lor \ x=40$

$
49-x=49-9 \ \lor \ 49-x=49-40 \\
49-x=40 \ \lor \ 49-x=9$

The lengths of the legs are 9 inches and 40 inches.

4 0

4 years ago

Please help ASAP on question b

max2010maxim [7]

Answer:

13.9cm

Step-by-step explanation:

13^2 = 169

5^2 = 25

169 + 25

= 194

13.9

8 0

3 years ago

Read 2 more answers

If i am investing 50,000.00 dollars into a business , and i'm only willing to spend that much or less . how do i write that as a

Step2247 [10]

Wow that's a big numbers I'm not sure

6 0

3 years ago