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3 years ago

Explain why the absolute value of a number is never negative

1 answer:

8 0

Think of it as the amount of spaces you move on a number graph. so for example from -3 to -7 is 4 spaces. i hope you find this helpful!

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

Solve the inequality if you can help i would appreciate it n-9 < 4

saveliy_v [14]

Answer:

n<4+9

n<13

Step-by-step explanation:

5 0

3 years ago

Type a digit that makes this statement true. 5,072, 00 is divisible by 8.

lina2011 [118]

The divisibility rule for 8 is that the last three digits have to be divisible by 8.

The third digit of 5072_00(from the right) could be 2, 4, 6, 8, or 0, because 200, 400, 600, 800, and 0 are divisible by 8.

Pls give brainliest.

6 0

3 years ago

A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then

Taya2010 [7]

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250

7 0

3 years ago

In 12 years megan will be four times as old as she was 15 years ago. How old is she now?

Crank

Answer:

x + 12 = 4 * (x - 15) --> x = 24

7 0

3 years ago

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