Please help me solve this?

The modulus increases by a factor of 10 and the argument increases by 5π/3.

The modulus of the complex number is the magnitude of the complex number. If z is the complex number such that z= p+qi

Then the modulus of the z will be =|z|= √p²+q²

We have,

z = 5 – 5i √3

So,

Now rewrite this given equation in the form of z = r(CosΘ + iSinΘ),

For this first calculate the modulus,

|Z| = √((5√3)² + 5²)

|Z| = √(25×3 + 25)

|Z| = √(100) = 10

And,

Argument, Θ = tan⁻¹ (b/a)

Θ = tan⁻¹ (5√3/5)

Θ = tan⁻¹ (√3)

Θ = 71

Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Coefficient: If a term has a variable, the numerical factor before the variable

Like Terms: A term that only has numerical factors and variables

Constant: Terms that have the exact same amount of variable factors

Equation: Two algebraic expressions that are equal

Solution: A value that makes an algebraic equation true

The correct match is given below:-

Coefficient:- If a term has a variable, the numerical factor is before the variable.

Like Terms:- A term that only has numerical factors and variables.

Constant:- Terms that have the exact same amount of variable factors.

Equation:- Two algebraic expressions that are equal.

Solution:- A value that makes an algebraic equation true.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The appropriate pairing is shown below: -

Coefficient: The numerical factor comes before the variable if a term has one.

Similar Terms: A term with only numerical variables and factors.

Terms with the same number of variables are said to be constants.

Equation: The equality of two algebraic expressions.

A value that makes an algebraic equation true is the answer.

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Answer:

x-intercept:8

y-intercept:16

Step-by-step explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

8x-(4×0)=-64

         -8x=-64

             x=8   <=  the x-intercept.

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

(8×0)-4y=-64

        -4y=-64

           y=16    <=  the y-intercept .

Answer:

x = 1/2

y = -8

Step-by-step explanation:

Let's solve for x.

8x−4y=−64

Step 1: Add 4y to both sides.

8x−4y+4y=−64+4y

8x=4y−64

Step 2: Divide both sides by 8.

8x/8 = 4y−64 / 8

x= 1/2 y−8

Answer:

24

Step-by-step explanation:

hope this help if it dont sorry i tried

Answer:

-1

Step-by-step explanation:

parallel lines always have the same slope

Answer:

A generic exponential function can be written as:

f(x) = A*e^(b*x)

Where A and b are real numbers, that we need to find.

We know that the points (3, 6) and (7, 18) are solutions to the equation, then we have that:

A*e^(b*3) = 6

A*e^(b*7) = 18

This is a system of equations, to solve this we can take the quotient between the two equations, so we remove the variable A.

(A*e^(b*7))/(A*e^(b*3)) = 18/6

e^(b*7)/e^(b*3) = 3

e^(b*7 - b*3) = 3

e^(4*b) = 3

Now we can apply the Ln(x) to both sides, because:

Ln(e^y) = y

then:

Ln(e^(4*b)) = Ln(3)

4*b = Ln(3)

b = Ln(3)/4

Then we have:

f(x) = A*e^(Ln(3)/4*x)

And we can use one of the equations to find the value of A. for example:

6 = A*e^(Ln(3)/4*3)

6/e^(Ln(3)/4*3) = 2.632

Then the exponential function is:

f(x) = 2.632*e^(Ln(3)/4*x)

Then we have that:

f(20) = 2.632*e^(Ln(3)/4*20) = 639.576

Rounding to the next integer, we have:

f(20) = 640

An exponential function can represent growth or decay.

The value of f(20) is 673

An exponential function is represented as:

[tex]y = ab^x[/tex]

At point (3,6), we have:

[tex]6 = ab^3[/tex]

At point (7,18), we have:

[tex]18 = ab^7[/tex]

Divide both equations

[tex]\frac{18}{6}= \frac{ab^7}{ab^3}[/tex]

[tex]3= b^4[/tex]

Take 4th roots of both sides

[tex]\sqrt[4]{3}= b[/tex]

Rewrite as:

[tex]b = \sqrt[4]{3}[/tex]

[tex]b = 1.32[/tex]

Substitute 1.32 for b in [tex]6 = ab^3[/tex]

[tex]a(1.32)^3 = 6[/tex]

[tex]2.30a = 6[/tex]

Divide both sides by 2.3

[tex]a = 2.61[/tex]

So, the function is:

[tex]y =2.61(1.32)^x[/tex]

When x = 20, we have:

[tex]y =2.61(1.32)^{20[/tex]

[tex]y =673[/tex]

Rewrite as:

[tex]f(20)=673[/tex]

Hence, the value of f(20) is 673

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Answer:

C

Step-by-step explanation:

Ed2021

The solutions of the given trigonometric equation are 60°, 180°, 300°.

A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.

The given trigonometric equation is:

cos (x/2) - sin (x) = 0

⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0

⇒ cos (x/2) [1 - 2sin (x/2)] = 0

Therefore,  cos (x/2) = 0 = cos (90°)  (x/2 can't be 270°)

⇒ x = 180°

Again,  [1 - 2sin (x/2)] = 0

⇒ 2sin (x/2) = 1

⇒ sin (x/2) = 1/2

⇒ (x/2) = 30°, 150°

⇒ x = 60°, 300°

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Answer:

9x-12

Step-by-step explanation:

3*x = 3x

3*-4= -12

3x - 12 = 12x

12x-3x = 9x

9x-12

Answer:  x = -4/3

Step-by-step explanation:

3(x−4)=12x

Step 1: Simplify both sides of the equation.

3(x−4)=12x

(3)(x)+(3)(−4)=12x  (Distribute)

3x+−12=12x

3x−12=12x

Step 2: Subtract 12x from both sides.

3x−12−12x=12x−12x

−9x−12=0

Step 3: Add 12 to both sides.

−9x−12+12=0+12

−9x=12

Step 4: Divide both sides by -9.

-9x/-9 = 12/-9

x = -4/3

Answer:

$0.99x plus $1.29y = 15.36

Step-by-step explanation:

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[tex]y - 2 = 3(x - 7)[/tex]

[tex]y - 2 = 3x - 21[/tex]

Add sides 2

[tex]y - 2 + 2 = 3x - 21 + 2[/tex]

[tex]y = 3x - 19[/tex]

Subtract sides 3x

[tex] - 3x + y = - 3x + 3x - 19[/tex]

[tex] - 3x + y = - 19[/tex]

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Answer:

14X + 11

Step-by-step explanation:

Answer:

The x-interceptis1 and y-intercept is-4

Answer:

x intercept: 1

y intercept: -4

Step-by-step explanation:

If you look at where the line hits the x axis, it hits it at 1. And if you look at where the line hits the y axis it hits it at -4.

i am pretty aure its one

Answer:

Definitely not math but English

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus

x = 2 ← equation of vertical line

Answer:

x = 2

Step-by-step explanation:

Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.

but if you want to calculate,

from the points,

x1 = 2, y1 = 3

x2 = 2, y2 = 5

x3 = 2, y3 = 7

using the formula,

y-y1/x-x1 = y2-y1/x2-x1

y-3/x-2 = 5-3/2-2

y-3/x-2 = 2/0

crossing we have,

2(x-2) = 0(y-3)

2x - 4 = 0

2x = 4

x = 2

The true statement about 3/5+7/10 is (a) the sum is a mixed number

The expression is given as:

3/5 + 7/10

Take the LCM and add both numbers

3/5 + 7/10 = (6 + 7)/10

Evaluate the sum

3/5 + 7/10 = 13/10

Simplify

3/5 + 7/10 = 1 3/10

The fraction 1 3/10 is a mixed number

Hence, the true statement about 3/5+7/10 is (a) the sum is a mixed number

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Answer:

f(g(-2))=-122

Step-by-step explanation:

You need to put the f(x) ewuation into the g equation, and then solve.

Answer:

D is right

Step-by-step explanation:

Answer: Vance.

Step-by-step explanation: Vance got the better deal. this is because Marco bought 5 movies, and paid $53.10. Vance paid $31.71, and saved $2.50, because 53.10 rounds to 50, and 31.71 rounds to 30, and Vance added $1.71, and Marco added $3.10, making Vance get the better deal.

Answer:

1.

B swap the order of equation

2. yes, they are equivalent and yes, they give same solution

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

Answer:

Choice B.

Step-by-step explanation:

BC ≅ FE.

You need 2 sides and the included angle to be congruent.

Answer:

Two quantities A and B have an equal ratio of a constant value direct proportion.

Answer:

a proportion of two variable quantities when the ratio of the two quantities is constant.Step-by-step explanation:

Answer:

this is how you solve this equation

Step-by-step explanation:

300= (5x+4)+(2x-14)+(x-10)

Step-by-step explanation:

the answer is going to be 10

Answer:

B

Step-by-step explanation:

X is about 4.5 times the amount given, so B. 337 1/2

Answer:

337.5 or 337½

Step-by-step explanation:

y∞x

y=kx(where k is the constant)

75=½k

cross multiplication

75×2=k

150=k

therefore the formula connecting x,k and y is y=150x

y=150×2¼

y=150×9/4

y=1350÷4

y=337.5or 337½

Answer:

DBE=50 degrees

ABD=140 degrees

Step-by-step explanation:

CA is a line which means that it equals 180 degrees total. Subtract the other angle measurements to find that DBE is 50 degrees. Then add the angles DBE, EBF, and FBA. Hope this helps!

Answer:

ok

Step-by-step explanation: