p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. On what interval must |q| fall on?

Answer: 1/10

Step-by-step explanation:

(1 x 4)/(8x5)

4/40

1/10

Answer:

(2,11)

Step-by-step explanation:

What is substitution method?

The substitution method is where you plug in an expression that defines a variable into the other equation so you are left with one variable in which you can solve for.

In order to use the substitution method, one of the variables must be defined by an expression (e.g. x = 8y + 2 , the x is defined by the expression 8y + 2. )

Rearranging terms to define x or y

We have the two equations 2x + y = 15 and 7x - 2y = -8

The equation we would rearrange would likely be 2x + y = 15 as the y is by itself meaning we could easily change a few things to define it.

2x + y = 15

==> subtract 2x from both sides

2x - 2x + y = 15 - 2x

==> simplify

y = 15 - 2x

Plugging ( or substituting ) y's defined expression into the other equation.

Now that we have rearranged the equation to where "y" is being defined we can plug in the expression defined by y into the other equation and then solve for x.

2nd equation : 7x - 2y = -8

==> plug in y = 15 - 2x

7x - 2(15-2x) = -8

==> distribute the 2

7x - 30 + 4x = -8

==> combine like terms

11x - 30 = -8

==> add 30 to both sides

11x = 22

==> divide both sides by 11

x = 2

Substituing the value of x into one of the equations and then solving for y.

Now that we have calculated the value of x we can calculate the value of y by plugging in the value of x into one of the equations and solving for y.

2x + y = 15

==> plug in x = 2

2(2) + y = 15

==> multiply 2 and 2

4 + y = 15

==> subtract 4 from both sides

y = 11

The solution is (2,11)

Checking our work:

To check our work we can plug in the value of x and y into both equations. If both are true then the solution is correct but if one or both are false then the solution is incorrect.

First equation; 2x + y = 15

==> plug in x = 2 and y = 11

2(2) + 11 = 15

==> multiply 2 and 2

4 + 11 = 15

==> add 4 and 11

15 = 15

Second equation; 7x - 2y = -8

==> plug in x = 2 and y = 11

7(2) - 2(11) = -8

==> multiply 7 by 2 and 11 by -2

14 - 22 = -8

==> subtract 22 from 14

-8 = -8

Both are correct therefore (2,11) is the correct solution

Answer:

x=28

Step-by-step explanation:

cos60°=14/x

0.5=14/x

x=14/0.5

x=28

Answer:

A. 28

Step-by-step explanation:

The value of x is equal to 18

Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!

Have a great day!

:)

[tex]g(x) =3x^2 -1\\\\g(-3)=3(-3)^2 -1 \\ \\~~~~~~~~~=3(9) -1 \\\\~~~~~~~~~=27-1\\\\~~~~~~~~~=26[/tex]

Answer:

g(26)

Step-by-step explanation:

substitute -3 for x.

g(x)=3[tex]x^{2}[/tex]-1

[tex]g(-3)=3(-3)^{2} -1\\g(-3)= 3(9)-1\\g(-3)= 27-1\\g(-3)=26[/tex]

Answer:

C. 73

Step-by-step explanation:

angles A and C will be the same because their sides are the same length!

so to solve this, let's set up an equation

now let's solve!

angle A = 73

let me know if you have any questions :)

Answer:

C!

Step-by-step explanation:

The expression which is equivalent to the given expression is     [tex]\frac{27 m^{5}}{n}[/tex]

From the question, we are to determine the expression which is equivalent to the given expression

The given expression is

[tex]\frac{(3m^{2}n)^{3} }{mn^{4} }[/tex]

Clearing the brackets, we get

[tex]\frac{3^{3} m^{2(3)}n^{3} }{mn^{4} }[/tex]

Simplifying, we get

[tex]\frac{27 m^{6}n^{3} }{mn^{4} }[/tex]

Then,

[tex]27 m^{6-1}n^{3-4}[/tex]

[tex]27 m^{5}n^{-1}[/tex]

= [tex]\frac{27 m^{5}}{n}[/tex]

Hence, the expression which is equivalent to the given expression is     [tex]\frac{27 m^{5}}{n}[/tex]

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Answer:90 degree

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.

Answer:

Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.

Step-by-step explanation:

Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.

Question :

Answer :

They are formed when two lines intersect each other at one point and the sum of angles is 180⁰ .

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

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Answer:

A on EDGE 2022

Step-by-step explanation:

Answer:

B. AC > AB

Step-by-step explanation:

AC is the longest line and AB is shorter than AC

Answer:

3a

Step-by-step explanation:

Answer: c or a

Step-by-step explanation:

Answer: once tom eats 6 candys he will have the same number as sue

Step-by-step explanation:

Answer:

After 6 minutes they will both have 0 candies.

Answer: 2(2x-1)

Range terms

Distribute

Subtract the numbers

The weather that is most likely to occur where Richard is is rain shower.

Weather is the state of the atmosphere of a particular place over a short period of time. There is low atmospheric pressure, so it is likely that it would rain. This is because when the  atmospheric pressure is low, it is likely that it would rain.

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Answer:

Rain shower is most likely to occur where Richard is. (Option c)

• The air pressure is lower than the normal and that's why it suggests that the rainfall will happen in that place because rainfall generally occurs in the place where the low pressure is formed.

• And,the temperature is above than the freezing point of the water so there are no chances of the snowfall in that place.

• That's why rainfall is the most probable thing that will happen in that place.

Step-by-step explanation:

Answer:

What's the question you f... you amazing human being

Answer: y=6/7x-1

Step-by-step explanation:

I am assuming you want a line formula in y=mx+b

slope (y2-y1)/(x2-x1) = -7+13/-7+14 = 6/7

y+7=6/7(x+7)

y+7 = 6/7x+6

y=6/7x-1

Answer: 1

Step-by-step explanation:

Answer:

Real and unequal

Answer:

The quadratic has two equal roots like d if it is perfect square and we may write: (x − d) 2 = x 2 − 2 d x + d 2 Then: Δ = 4 d 2 − 4 d 2 = 0 That is the discriminant is zero when the quadratic is perfect square.

Step-by-step explanation:

Step-by-step explanation:

separate the question into two inequalities then solve individually to derive at an answer then merge the two answers as one.

remember that < or > are open sets while <= or >= are closed set.

Answer:

Step-by-step explanation:

A:  The expression 4x = 2x - 2 reduces to x = -1.  This is true for all values of y, since y is not a factor in this expression.

The two other equations intersect at point (-1, -4).  See the attached graph (Solutions2)

y = 4x

y = 2x−2

============

Mathematically, we can substitute the value of y from the first equation into the second:

y = 2x−2

(4x) = 2x−2

2x = -2

x = -1

The intersection of this two lines is (-1,-4).  Since x=-1, this is also the solution to 4x=2x-2, as per the above.

B:  See attached Result Table

C:  See GraphEquation2  

Answer:

In the end, the answer is: 30,000

Step-by-step explanation:

Answer:

  (c)  Triangle Z Y X is similar to triangle C B A

Step-by-step explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

__

The side lengths, smallest to largest, for the two triangles are ...

And for the other triangle, ...

The points joining the each side to the next one longer, in order for the two triangles, are ...

  Y, X, Z  and  B, A, C

The vertices corresponding to ZYX in the same order are CBA.

  triangle ZYX is similar to triangle CBA

Answer:

The answer is C

Step-by-step explanation:

The average speed, in km/minute, of the train is 2.79 km/minute

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

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Answer:

(p + q) + r

is the correct answer

Answer:

[tex]a=2\\\\ b = 20\\\\ c = 47[/tex]

Step by step explanation:

[tex]a(x) = 2(x+5)^2 -3\\\\~~~~~~~=2(x^2 +2 \cdot 5 \cdot x +5^2) -3\\\\~~~~~~~=2(x^2 +10x+25) -3\\\\~~~~~~~=2x^2 +20x +50 -3 \\\\~~~~~~~=2x^2 +20x +47\\\\\text{By comparing}~ 2x^2 +20x +47~ \text{with the standard form}~ ax^2 +bx+c,\\\\a=2,~ b = 20,~ c = 47[/tex]

Answer:

A or 57 7/9ft3

Step-by-step explanation:

13/3x10/3x4/1 = 520/9=57 7/9

Based on the transformations that occurred, the preimage is most likely the topmost right image.

The transformations list shows that the first transformation was the reflection across the horizontal line drawn.

When a reflection is done, the shape looks like the inverse of itself. The only shape that looks like an inverse and is therefore a reflection is the bottom right shape which means the preimage must be the top right image.

Remaining part of question:

Which is the preimage?

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Using the given information, the unit rate is 0.0645 miles/minute

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

That is,

Distance = 40/5 miles = 8 miles  

Time = 124 minutes

Using the formula,

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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The unit rate is 0.0645 miles/minute

We have calculated the rate

From the question, we are to determine the unit rate

From the given information,

Daniel runs 40/5 miles in 124 minutes

Distance = 40/5 miles

Distance = 8 miles  

Time = 124 minutes

Rate = Distance / Time

Rate = 8 miles / 124 minutes

Rate = 0.0645 miles/minute

Hence, the unit rate is 0.0645 miles/minute

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