Use the axiomatic approach for vectors to prove the distributive law of vectors

Answer:

1.75

Explanation:

Take two points: (0, -3), (4,4)

[tex]\sf rate \ of \ change: \dfrac{y_2- y_1}{x_2 - x_1} = \dfrac{rise}{run}[/tex]

Here rate of change:

[tex]\sf \rightarrow \dfrac{4-(-3)}{4-0}[/tex]  (insert values)

[tex]\sf \rightarrow \dfrac{7}{4}[/tex]             (in fraction)

[tex]\sf \rightarrow 1.75[/tex]         (in decimals)

Answer:

1.75

Step-by-step explanation:

Rate of change = slope of the line

Taking two points (4,4) and (0, -3) :

Answer:

3x- 2y

Step-by-step explanation:

its defintly not = to four because you cant subtract two diffrent varibles so it should be less then

Answer:

27.23 inches

Step-by-step explanation:

question wants circumference over 2π/3 radians

2π/3 times 180/π = 120 degrees

120 is 1/3 of 360

so question wants 1/3 of the circumference

circumference is π times diameter

π times 26 = 81.6814089933

81.6814089933 divided by 3 =

27.2271363311 =

27.23

Answer:

The correct answer is supposed to be 3.36

Step-by-step explanation:

Add up all the numbers:

4 + 3.7 + 3.4 + 3 + 2.7  = 16.8

Divide by how many numbers there are:

16.8 ÷ 5 = 3.36

Answer:

Step-by-step explanation:

Guess My Mystery Fraction

1. My fraction has a denominator of 4*12

2. My fraction can be simplified to 5/8

3. My fraction has a numerator of 10*3

4. If v = -2i - 7j, then its magnitude is

||v|| = √((-2)² + (-7)²) = √53

and the unit vector in the direction of v is

[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]

5. Given u = i + 2j and v = -i + 5j, we have

u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)

Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to

u • v = -1 - 0 + 0 + 10 = 9

Answer:

sorry I haven't learned this yet

Step-by-step explanation:

Answer:

90 degree angle

Step-by-step explanation:

The linear equation that passes through points (-2,7) and (6,-9) is given by:

y = -2x + 3

A linear function is modeled by:

y = mx + b

In which:

The line passes through points (-2,7) and (6,-9), hence the slope is given by:

m = (-9 - 7)/(6 - (-2)) = -2.

Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:

y = -2x + 3.

More can be learned about linear equations at https://brainly.com/question/24808124

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Answer:

f(x + 2) = 4x² + 16x + 13

Step-by-step explanation:

f(x) = 4x² - 3

Then

f(x + 2) = 4(x + 2)² - 3

           = 4(x² + 4x + 2²) - 3

           = 4(x² + 4x + 4) - 3

           = 4x² + 16x + 16 - 3

           = 4x² + 16x + 13

Answer:

a = 13.24 m

Step-by-step explanation:

Finding ∠A :

Applying the Law of Sines :

Answer:

  13.2 m

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when angles and one side are known.

__

The angles of a triangle total 180°, so the missing angle A is ...

  ∠A = 180° -48° -54° = 78°

The Law of Sines tells us ...

  a/sin(A) = b/sin(B)

  a/sin(78°) = (10.0 m)/sin(48°)

__

Multiplying by sin(78°), we find ...

  a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)

  a = 13.1623 m

The length of side 'a' is approximately 13.2 meters.

Answer:

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Answer:

Rotations

Transformations

Reflections

Answer:

In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful.

The domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

For the following exercise.

Then the domain and range of the function below using interval notation.

The table is given below.

Then the linear equation that is passing through (1, -1) and (2, -2). Then we have

y + 1 = -x + 1

    y = -x

Then the domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Step-by-step explanation:

when throwing 2 coins, there are 4 equally probable outcomes :

1 head 1 tail

1 tail 1 head

2 heads

2 tails

so, each outcome has a probability of 1/4.

the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is

3/4.

to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.

that probability for that is

(3/4)^(x-1)

and then it happens. the probability for that is 1/4.

so, the total probability for that event is

(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)

so, for x = 7 that gives us a probability of

3⁶ / 4⁷ = 729 / 16384 = 0.044494629...

The pairs of triangles can be proven congruent through HL is option A.

Answer:

Carbon dioxide

Step-by-step explanation:

I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

Answer:

[tex]x=\frac{\pi }{4}[/tex]

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

[tex]x=\frac{\pi }{2}[/tex]

but we want to sin(2x) = 1/2 so we make it.

[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]

Now

AB

Answer:

24.03 units (nearest hundredth)

Step-by-step explanation:

The distance between B and A is:  AB = AH + HB

We have been given AH, so we just need to find the measure of HB.

First, find the angle AOH using tan trig ratio:

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]

[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]

   ∠BOA = ∠BOH + ∠AOH

⇒ ∠BOH = ∠BOA - ∠AOH

⇒ ∠BOH = 61° - 22.00069835°

               = 38.99930165°

Now we can find HB by again using the tan trig ratio:

Given:

Substituting given values:

[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]

[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]

[tex]\implies \sf HB=16.03332427[/tex]

Therefore:

   AB = AH + BH

⇒ AB = 8 + 16.03332427

         = 24.03 units (nearest hundredth)

Answer:

The mean would be 29 and the median would be 17

Step-by-step explanation:

Hope this helps! :)

The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

Given the distance and speed, the time taken to move between points is calculated using:

Time = Distance/Speed

The required graph is not given.

So, we assume that the distance between both points is:

Distance = 1800km

Using the assumed value above, we have:

When speed = 800km/hr

Time = 1800/800

Time = 2.25 hours

When speed = 250km/hr

Time = 1800/250

Time = 7.2 hours

When speed = 120km/hr

Time = 1800/120

Time = 15 hours

Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

Read more about speed and distance at:

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Answer:

0.5 feet

Step-by-step explanation:

Volume = Length × Width × Depth

Here :

Solving :

Step-by-step explanation:

-10+7=-3 because 10 i greater and (-)(+)=-

-8-3=-11 because the greatest number is in negative form that's why its not in positive form

Hey there!

Guide:

Negative & negative = positive

Positive & positive = positive

Negative & positive = negative

Positive & negative = negative

For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)

Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).

KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  a.  2, 3, 6

  b.  a/b × c = 1

  c.  a = 2, b = 6, c = 3  or  a = 3, b = 6, c = 2

Step-by-step explanation:

Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.

__

There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.

__

If the three numbers are represented by a, b, c, Erica wants ...

  a/b × c = 1

__

Multiplying the equation by b gives ...

  ac = b

Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...

  a = 2, b = 6, c = 3   ⇒   (2/6)×3 = 1

  a = 3, b = 6, c = 2   ⇒   (3/6)×2 = 1

__

No scoring information is provided.

Answer:

120

Step-by-step explanation:

120 copies sold yesterday