I need help plz
ASA
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Answer:

  yes; the distributive property applies to dot products

Step-by-step explanation:

The product of (a-b) with itself is ...

  (a -b)·(a -b) = a² -2ab +b²

because the commutative and distributive properties apply to multiplication.

  (a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²

__

The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.

  (u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v

  = u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v

_____

Additional comment

The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.

Note that

10² = 100

0.08² = 0.0064

and

101.6064 = 100 + 1.6 + 0.0064

It also happens that

1.6 = 2 • 10 • 0.08

which means

101.6064 = 100 + 1.6 + 0.0064

101.6064 = 10² + 2 • 10 • 0.08 + 0.08²

101.6064 = (10 + 0.08)²

101.6064 = 10.08²

which means

√101.6064 = 10.08

which, to one decimal place, is approximately 10.1.

Answer:

b=20

Step-by-step explanation:

-185-5=9b

-180=9b

=>b= -20

the answer is 4 2/5, and I don't think others are equivalent to it

Answer:

p=2/5

p=0.4

Step-by-step explanation:

Answer:

p=2/5

Step-by-step explanation:

6p+13.5=159/10

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

Answer:

-3x - 15

or

-3(x + 5)

Step-by-step explanation:

-3x - 3 - 12

-3x - 15

-3(x + 5)

sorry if this doesn't help but i hope it does

Answer:

-3(x + 5)

Step-by-step explanation:

Answer:  115 Adults and 120 Children

Step-by-step explanation:

We have 2 unknowns:  A is the number of Adults and C is the number of children.

We'll need at least two equations to solve for two unknowns.

One equation is easy:  We know that A + C = 235, the total number of people who entered the park.

The second equation comes from the second fact that was provided:  total admission fees were $640.  We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:

4A + 1.5C = $640  [$4 * the number of adults plus $1.5 * the number of children]

Rearrange the first equation for either variable, A or C.  I picked A:

A = 235 - C

Now use this value for A in the second equation:

4A + 1.5C = $640

4*(235-C) + 1.5C = $640

-2.5C + 940 = 640

-2.5C = -300

C = 120 children

To find A:

A = 235 - C

A = 235 - 120

A = 115 adults

===

Double check to see if these value work:

                    C       A

Fee($)          1.5      4

People        120    115

Income ($)   180   460

Total = 180 + 460 = $640

It works.  120 Adults and 115 Children.

Answer:

x = 15

Step-by-step explanation:

(4x - 30) and (2x) are alternate angles and are congruent , then

4x - 30 = 2x ( subtract 2x from both sides )

2x - 30 = 0 ( add 30 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

It should be noted that modern entertainment has played a vital role in shaping African culture and homes.

Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.

Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.

Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.

Learn more about entertainment on:

https://brainly.com/question/773944

Answer:

61.9

Step-by-step explanation:

mark me as brainliest

Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

Answer:

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

Answer:

A

[tex]^{}[/tex]

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

Answer: We need to see the options

Step-by-step explanation: We need to see the options

Answer: A

Step-by-step explanation:

The alteration has an effect on (K) I, II and III

The function is given as:

[tex]h = -at^2 + bt + c[/tex]

When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.

Take for instance, the new function is:

[tex]h = -at^2 + bt + c+ 1[/tex]

The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.

Hence, the alteration has an effect on (K) I, II and III

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

a² + 24² = 26² ; a = 10 in.

Step-by-step explanation:

a² + 24² = 26² ; a = 10 in.

((I'm not sure if your choice is wrong.))

Answer:

the area of the tile is 190 cm2

a.

The required equation is  23p + 19.50 = 180.50

Let p represent the number of people who can go to the amusement park.

Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.

Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50

Since the total amount equals $180.50. T = 180.50

So, 23p + 19.50 = 180.50

The required equation is  23p + 19.50 = 180.50

b.

Solving 23p + 19.50 = 180.50, we have

23p = 180.50 - 19.50

23p = 161

p = 161/23

p = 7

So, the number of people who can go to the amusement park is 7.

Learn more about linear equations here:

https://brainly.com/question/24307397

Answer:

yall werid

Step-by-step explanation:

Answer:

ur right!!

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/4 divide by three= 1/4*1/3=1/12

Answer: 1/4 ÷ 3 = 1/12

Explanation: In order to divide fractions, you must follow these 3 simple steps:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal.

Step 3. Simplify the fraction (if needed).

Answer:

5016 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

⋅

5

5

=

10

30

and

3

5

⋅

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

⋅

2

2

=

8

18

and

7

6

⋅

3

3

=

21

18

Ready to go...

Hope this helped!

Answer:

15

Step-by-step explanation:

Order

2, 9, 15, 17, 18

Find Median Position

Use the formula

[tex] \frac{n + 1}{2} [/tex]

where n is the number of numbers.

Substituting in, 5 + 1 is 6, divided by 2 is 3.

Find the number at the correct position

15