Write each of the following as a standard numeral. Need help in Problem 37!

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\ [/tex]

Multiply both numerator and denominator of [tex]\sf \frac{5-3i}{-2-9i} \\ [/tex] by the complex conjugate of the denominator, -2+9i.

[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\ [/tex]

Multiplication can be transformed into difference of squares using the rule: [tex]\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}[/tex].

[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\ [/tex]

By definition, i² is -1. Calculate the denominator.

[tex] \large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\ [/tex]

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

[tex] \large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\ [/tex]

Do the multiplications in [tex]\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)[/tex].

[tex] \large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\ [/tex]

Combine the real and imaginary parts in -10+45i+6i+27.

[tex] \large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\ [/tex]

Do the additions in [tex]\sf-10+27+\left(45+6\right)i[/tex].

[tex] \large \bf Re(\frac{17+51i}{85}) \\ [/tex]

Divide 17+51i by 85 to get [tex]\sf\frac{1}{5}+\frac{3}{5}i \\ [/tex].

[tex] \large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\ [/tex]

The real part of [tex]\sf \frac{1}{5}+\frac{3}{5}i \\ [/tex] is [tex]\sf \frac{1}{5} \\ [/tex].

[tex] \large \boxed{\bf\frac{1}{5} = 0.2} \\ [/tex]

Answer:

8

if u look closely,triangle abc has 4 identical triangle def in it.

Answer:

232

Step-by-step explanation:

Answer:

it is 3/5 or 1.666666666667

10/6 and 3/5 will still give the same answer

plssss mark brainliesttt

Answer:

3:5

Step-by-step explanation:

Answer:

7x - 3)

Step-by-step explanation:

Given

3x - 7 + 2(2x - 7) ← distribute parenthesis

= 3x - 7 + 4x - 14 ← collect like terms

= 7x - 21 ← factor out 7 from each term

= 7(x - 3)

The expression 3x - 7 + 2(2x - 7) can be written as the product of 7 and the factor (x - 3).

We have write the expression 3x - 7 + 2(2x - 7) as the product of 7 and another factor.

we can simplify the expression first and then factor out the common factor of 7.

Let's simplify the expression step by step:

3x - 7 + 2(2x - 7)

= 3x - 7 + 4x - 14 (distributing the 2 to the terms inside the parentheses)

= (3x + 4x) + (-7 - 14)

= 7x - 21

Now, let's factor out the common factor of 7:

= 7(x - 3)

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Answer:

26

Step-by-step explanation:

It says find f(f(2)), so we need to find f(2) and then input that into the same function. f(2)=5 so then we input that into the function again and get 26. Boom.

Answer:

26

Step-by-step explanation:

Ok first u find f(2) so for that u have to input 2 into the value of x. So 2^2 +1 =5

When we get 5 we input THAT into f(x)

So:

F(5) = 5^2 +1

=26

Answer:

188,708

Step-by-step explanation:

191,000 x 0.098 = 2292

Decreases = Subtract

191,000 - 2292 = 188,708

Hello!

The slope equation is y = mx + b

mx is the slope and b is the yintercept.

4. y= -3x + 5

See where I put the slope and y intercept above?

Those are where the numbers go in that equation.

5. 3x + y = 5

The standard for equation is: Ax + by = c

y = -3x + 5

we need to make the equation look like the standard form equation.

y = -3x + 5

lets add 3x to both sides

The answer is 3x + y = 5

6. m = [tex]\frac{3}{2}[/tex]

We need to use this formula: [tex]m=\frac{y2-y1}{x2-x1} \\\\\\[/tex]

The points said are: (2, 5) and (4, 8)

[tex]m=\frac{8-5}{4-2}[/tex]

m = 3/2

M is the slope.

---------------

I hope this helps,

Have a great day!!

Answer:

the answer is D

Step-by-step explanation:

as you can all of the other circles have stars and crosses but circle d has a question mark

Answer: b < -15/13 or b ≥ 4/7

Step-by-step explanation:

-13b - 12 > 3 can be simplified to -13b > 15 through subtraction. Then, dividing by a negative number flips the greater than sign to a less than, so you get b < -15/13 .

The other equation can be solved in the same way. 14b ≥ 8 is found through addition; and dividing by a positive number doesn't flip the greater than or equal to sign, so you end up with b ≥ 8/14, which simplifies to b ≥ 4/7.

These solutions diverge, or go in opposite directions: one is a less than equation, and the other a greater than, so you're looking for an answer with an 'or' in between them. Therefore, you can eliminate the answers on the top left and bottom right, which converge.

You can also eliminate the answer on the top right, because it has a less than or equals to symbol in the b < -15/13 equation where it's supposed to be a simple < symbol.

Answer:

Rs :140

Step-by-step explanation:

M.P. = Rs. 200, Discount =12.5%

∴S.P.=200−12.5 % of 200

=200−

100

12.5

×200

=200−25.0=175

Therefore, profit =25 %

∴C.P.=

100+profit%

100

×S.P.=

125

175×100

= Rs. 140.

Answer:

0.5 is correct answer hope it helps

Answer:

Solution

=−5 that is the answer im positive

Step-by-step explanation:

4-2x+14=3x+15

-2x-3x=18+15

-5x=33

x=33/-5

Answer:

C. Q was flipped over the y axis

The slope of the graph in decimal form is 1.08.

By geometry we know that a line can be constructed after knowing the location of two distinct points. Lines in explicit form are defined by slope and intercept, the former is calculated by the secant line equation and the intercept by solving a linear function.

If we know that [tex](x_{1}, y_{1}) = (4.2, 9.6)[/tex] and [tex](x_{2}, y_{2}) = (6.7, 12.3)[/tex], then the slope of the graph is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m = \frac{12.3-9.6}{6.7-4.2}[/tex]

[tex]m = 1.08[/tex]

The slope of the graph in decimal form is 1.08.

We kindly invite to see this problem related to linear functions: https://brainly.com/question/21604915

Answer:

A) 1.25 inches

B) 2 inches

C) 3 inches

Step-by-step explanation:

[tex]\frac{d}{4}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{d}{4}[/tex] + [tex]\frac{2}{4}[/tex] = [tex]\frac{d+2}{4}[/tex]

A) 3

[tex]\frac{d+2}{4}[/tex] = [tex]\frac{3+2}{4}[/tex] = 5/4 = 1.25

B) 6

[tex]\frac{d+2}{4}[/tex] = [tex]\frac{6+2}{4}[/tex] = 8/4 = 2

C) 10

[tex]\frac{d+2}{4}[/tex] = [tex]\frac{10+2}{4}[/tex] = 12/4 = 3

Answer:

Step-by-step explanation:

I think it the choice of A and D

Answer:

x = - 3

Step-by-step explanation:

-3 x -3 = 9 x -3 = -27

Answer:

Required answer is -3

On cubing -3 we get -27

So x= -3

.

.

Hope it helps

Answer:

7) 1.45

8) -2.3

9) -115

10) -213

11) -4

12) 150

hope it helps

Answer:

If you have to solve for v, it's v<-1

interval notation: (- ∞, -1)

Step-by-step explanation:

Distance between first tree and last tree is 140m .

And distance between each tree (d) = 5 m

let's solve for number of trees (n) :

[tex] \hookrightarrow \: (n - 1)d = 140[/tex]

[tex] \hookrightarrow \: (n - 1)5 = 140[/tex]

[tex] \hookrightarrow \: n - 1 = \dfrac{140}{5} [/tex]

[tex] \hookrightarrow \: n = 28 + 1[/tex]

[tex] \hookrightarrow \: n = 29[/tex]

hence, total number of trees = 29.

answer will be 2÷18=9

and the answer is 9

please mark this answer as brainlist

Answer:

9 units

12×3/4

plss mark brainliesttt

Answer:

364.0

Step-by-step explanation:

567.78/1.56

=363.96153846

=364.0

Answer:

3800

Step-by-step explanation:

Variables:

O - Original cost

N - New cost

c - change factor

Step 1:

Recognize that if something decreases by 19%, it is worth 19% less

This means that the new price, fractionally, is 100% - 19% = 81%

So we can use c as 0.81 (81/100)

Step 2:

Write an equation to represent what is happening

N = O * c

Step 3:

Sub in what we know

3078 = O * 0.81

Step 4:

Rearange and solve

O = 3078 / 0.81 = 3800

Answer:

Option D is correct

Step-by-step explanation:

Statement 1

Average weight of 3 dogs = 55 pounds

Total weight of 3 dogs = 55 × 3

Total weight of 3 dogs = 165 pound

Statement 2

Average weight of 5 cats = 9 pounds

Total weight of 5 cats = 9 × 5

Total weight of 5 cats = 45 pounds

New Average = 165 + 45/8

New Average = 210/8

New Average = 26.25 pounds

Answer:

D 26.25

Step-by-step explanation:

55× 3 + 9×5 = 210

210 ÷ 8 = 26.25