What is the diameter of 11.94 cm circumference

Answer:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

Step-by-step explanation:

We are given two complex numbers:

[tex]\displaystyle m + ni \text{ and } p + qi[/tex]

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

In conclusion, the relationship between m, n, p, and q is:

[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]

Or:

[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

Answer:

sum of two terms. So, the verbal expression 15 plus r can be used to describe the algebraic expression 15 + r

Step-by-step explanation:

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

9514 1404 393

Answer:

  49

Step-by-step explanation:

The sum of 5 numbers that have an average of 30 is ...

  sum = 5×30 = 150

The numbers below the median need to be as small as possible, so that the remaining numbers can be as large as possible. If the two numbers below the median are both 1, then the sum of the remaining 3 must be ...

  150 -1 -1 = 148

The median will be as large as possible when the least of the remaining three numbers is as large as possible. That will be the case when those three numbers are all the same.

  148/3 = 49.333...

Since the numbers must be integers, the possible values for the high three numbers are 49, 49, 50.

In the set {1, 1, 49, 49, 50}, the mean is 30 and the median is 49. This value is the largest possible median for this set.

Answer:

this question doesn`t have much information but here`s my best guess

(2x-y)^2

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.

1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.

2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."

So, combining the two steps, we have:

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.

To know more about difference :

https://brainly.com/question/18757471

#SPJ3

Answer:

F(1) = - 1

Step-by-step explanation:

F(x) = 2x-3

F(1) = 2(1)-3 (plug in 1 for x because 1=x)

F(1) = 2-3 (multiply 1 and 2)

F(1) = - 1

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7 .

Answer:

4

Step-by-step explanation:

Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4

Answer: a = 300, b = b = 50.24

Step-by-step explanation:

Answer:

-300

Step-by-step explanation:

[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + | [ - 3 ]|]

[ 12 + 2 - [ -6 ] ] [ -5 + 3]

[ 12 + 2  + 6  ] [ -5 + 3]

(20)(-15)

-300

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

Answer:

17.

9x - 2 = 8x + 6 (opposite angles on the transversal)

9x - 8x = 6+2

x = 8

18.

-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)

36x = 180

x = 180/36

x = 5

19.

9x + 4 + 95 = 180  (angles on the same side of transversal add up to 180)

9x + 99 = 180

9x = 180-99

9x = 81

x = 81/9

x = 9

20.

16x - 2 = 110 (opposite angles on the transversal)

16x = 110 +2

16x = 112

x = 112/16

x = 7

21.

29x + 4 = 31x -4 (opposite angles on the transversal)

4 + 4 = 31x - 29x

2x = 8

x = 8/2

x = 4

22.

12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)

18x +18 = 180

18x = 180-18

18x = 162

x = 162/18

x = 9

Answer:

Step-by-step explanation:

a) Age of Jeff = j

Tina's age = j - 4

b) j = 15 years

Tina's age = 15 - 4 = 11 years

j = 20 years

Tina's age = 20 - 4 = 16 years

j = 58 years

Tina's age = 58 - 4 = 54 years

Answer:

a²+(b-c)²

hope it helps

Answer:

a = 9

b = 2

Step-by-step explanation:

Given : a = 9

a = b + 7

9 = b + 7

b = 9 - 7 = 2

Answer:

Im pretty sure it would be C

Step-by-step explanation:

The location of R on the number line will be 15/7 so option (C) will be correct.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Distance from S to T = 3 + 9 = 12

So,

SR + RT = 12

And given,

SR/RT = 3/4 ⇒ SR = (3/4)RT

By substitution,

(3/4)RT + RT = 12

RT ( 7/4) = 12

RT = 48/7

Now the location of point R ⇒

OT - RT = 9 - 48/7 = 15/7

Hence "The location of R on the number line will be 15/7".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

Answer:

it would be false

Step-by-step explanation:

Answer:

According to my equation it's 20°

Answer:

this can be simplified

12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

Answer:

v = 3

Step-by-step explanation:

12v + 10v = 22v

22v + 14 = 80

Subtract 14 from both sides.

80 - 14 = 66

22v = 66

now divide both sides by 22

66/22 = 3

v = 3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]m=\frac{2Ke}{v\\^{2} }[/tex]

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30

Answer:

Step-by-step explanation:

Answer:

64w^2

Step-by-step explanation:

Because 8w is in parentheses, you must apply the exponent to both the 8 and w.

So, it becomes (8*8)(x*x) which equals (64)(x^2).

Which then gives you your final answer, 64x^2.