For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.

Answer:

Step-by-step explanation:

Expand

-4 + 6px + 18 + 3p = 9p + 9 + 5

Simplify

14 + 9p = 9p + 14

Solve

Take away 14 from both sides

9p = 9p

p = p

p = 0

Step-by-step explanation:

as shown in the photo

p equals to p

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.

Answer: 0.71429

Step-by-step explanation:

Answer:

Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]

Step-by-step explanation:

[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]

X = 4 – 1 = 3

Y = 4 – 2 = 2

[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

When x=0, y = 1.3333333333333

When y=0, x = -2

Answer:

Step-by-step explanation:

Answer:

Step-by step explanation:

Conclusion:

Therefore, 4m - 3  - 3m + 1 equals m - 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

9

Step-by-step explanation:

Answer:

1200000

Step-by-step explanation:

First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes

Then just do 2500 dollars * 480 minutes = 1200000

Answer:

$1,200,000

Step-by-step explanation:

We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000

We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.

I hope this helps have a great day and happy holidays :)

Answer:

110x3.5=385

Step-by-step explanation:

I HOPE THIS HELPS!!!!

Answer:

The difference between the maximum and the minimum temperature on that day is [tex]18^0C[/tex]

Step-by-step explanation:

The maximum temperature of an island was recorded [tex]15.5^0C[/tex]

The minimum temperature was recorded [tex]-2.5^0C[/tex]

Difference in temperature

[tex]=15.5--2.5\\\\=18^0C[/tex]

Answer:

the difference between 15.5 and -2.5 is 18

Step-by-step explanation:

Answer:

24 !!

Step-by-step explanation:

Simple, x got doubled, and since y varies directly as x, 12 doubled = 24. I hope this helps!!!

Answer:

The profit is 86830

Step-by-step explanation:

To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830

Answer:

Profit: $73000

Step-by-step explanation:

Profit = Selling price (SP) - Cost price (CP)

First you need to find the CP

CP = (SP*100)/(100+Percentage profit)

SP= $457000

Percentage profit = 19%

CP= (457000*100)/(100+19)

CP= 45700000/119

CP= $384,033.6134

Profit = 457000-384,033.6134

Profit = $72966.3866

Profit rounded to the nearest 1,000 or  the Thousands Place = $73,000

Hope this helps. Please give me the brainliest?

The approximate breakeven points of the given functions are 15 and 47.

The breakeven point is the point where the total revenue equals to total expenses.

At this point, there is no profit or loss. That is the net profit is zero and he net loss is zero.

From the given graph, the dashed line represents the expense function while the solid line represents the revenue function.

Thus, the approximate breakeven points of the given functions are 15 and 47.

Learn more about breakeven points here: https://brainly.com/question/25641668

Answer: 15 and 47

Step-by-step explanation:

The motion of the rock thrown from the cliff which goes downwards due to

the gravitational force, is a free fall motion.

Reasons:

The given function that represents the height of the of the rock in feet x seconds after being thrown is; f(x) = 16·x² + 4·x + 125

At the initial height before being thrown from the cliff, we have;

The time, x = 0

The initial height is therefore;

The initial height f(0) = 16 × (0)² + 4 × (0) + 125 = 125

125 represents A. The initial height of the rock

Learn more about motion under gravity here:

https://brainly.com/question/7596138

Answer:

x=1

Step-by-step explanation:

3(x + 4) = 5(x + 2)

3x+12=5x+10

2x=2

x=1

Answer:

X=1

Step-by-step explanation:

3/x+2 = 5/x+4

3/(1+2) = 5/(1+4)

3/3 = 5/5

3/3=1

5/5=1

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 - 70 = 110

110 = 12x + 2 + 15x

108 = 27x

108 : 27 = 4°

4 * 15 = 60° is your answer

check

15 * 4 + 12 * 4 + 2 + 70 = 180

60 + 48 + 72 = 180

the answer is good

Answer:

the fourth one.. y = 3/4x + 4

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

y = -3x + 7 (above)

Step-by-step explanation:

To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.

We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7

Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.

Plugging that in,

y = -3x + 7

Answer:

∠ LKJ = 64°

Step-by-step explanation:

Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is

∠ J = ∠ L = 58° , then

∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°

Answer:

5 cups of dried fruit?

Step-by-step explanation:

unless something is missing it's 5  cups

Answer:$1375 in interest and $6875 total.

Step-by-step explanation:

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

Answer:

ABC

Step-by-step explanation:

Colinear means on the same line, and you can tell ABC are all on the line in the middle of the parallelogram. Another way to do this if you don't know what colinear means is to look for the similarities between the points. The only similarity between any of the points is that three are on the same line, meaning they must be colinear and have the right answer.

Please consider a brainliest! Thank you!

Answer:

56.52 km

Step-by-step explanation:

You can use this formula to find the circumference.

[tex]C =\pi \:d[/tex]

Here,

C = circumference

d =  diameter

Let us solve now.

[tex]C =\pi \:d[/tex]

C = 3.14 × 18 km

C = 56.52 km

Hope this helps you.

Let me know if you have any other questions :-)

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Explanation:

Ignore the stems. We count out the number of leaves

So we have a total of 3+5+4+3 = 15 leaves which correspond to 15 data values.

Answer:

120 [cm²].

Step-by-step explanation:

1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);

2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];

3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];

4) finally, the required area is: A=96+24=120 [cm²].

all the details are provided in the attachment.

8*1/4=2

sarina can play 2 instruments

Answer:

2

Step-by-step explanation:

8 divided by 4 is 2

1/4 of 8 is 2

Answer:

b = (a/16) - 4

Step-by-step explanation:

a = 16(b + 4)

a = 16b + 64

16b + 64 = a

16b = a - 64

16b/16 = (a/16) - 64/16

b = (a/16) - 4

Answer:

b = a/16 - 4.

Step-by-step explanation:

a=16(b+4)

b+4 = a/16

b = a/16 - 4.

Answer:

Yes, the triangles are congruent by HL. IJ≅ NM, LM≅HJ

Step-by-step explanation: I took the test

Answer:

Step-by-step explanation:

j