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Mekhanik [1.2K]
3 years ago
11

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example tha

t disaproves the statement.
The dot product of parallel vectors is zero,
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

False

Step-by-step explanation:

the <u>dot product</u> between two vectors A and B is:

A·B=ABcos\theta

where \theta is the angle between the vectors, if they are parallel, this angle is zero. so  \theta=0

and so the dot product is:

A·B =ABcos(0)

and since  cos (0)=1

the dot product is equal to

A·B=AB

The dot product of parallel vectors is NOT zero

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Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2
EleoNora [17]

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

6 0
3 years ago
Read 2 more answers
Factor the expression below using the greatest common factor 6p3- 2p2 - 8p
miss Akunina [59]

Answer:

The Factor of expression using the greatest common factor is 2p(3p^2- p-4)

Step-by-step explanation:

Consider the provide expression.

6p^3- 2p^2 - 8p

We need to Factor the expression using the greatest common factor.

First look at the coefficients of the variable.

The coefficients are the factor of 2.

Variable p is the greatest common factor in the provided expression.

2p\times 3p^2- 2p\times p- 2p\times 4

2p(3p^2- p-4)

Hence, the Factor of expression using the greatest common factor is 2p(3p^2- p-4).

7 0
3 years ago
Does anyone know the answer?
kolezko [41]

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

divide both sides by 9.75 to solve for x

x > 20

8 0
2 years ago
What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.
Harrizon [31]

Answer:

12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13

4 0
2 years ago
What is the arithmetic mean of the<br> following numbers?<br> 8, 10, 8,5, 4, 7,5,10,8<br><br> Help
zalisa [80]

Answer:

its simple just add all of the numbers and then divide it by the total frequency

Step-by-step explanation:

<u>4+5+5+7+8+8+8+10+10</u>

            8

=<u>65</u>

  8

=8.125

6 0
2 years ago
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