Which complex number is equivalent to (7-9i)-(-1+3i)?

Answers

Answer 1

Answer: just like algebra
i lis like x
distribute invisible -1 to second set
-1(-1+3i)=1-3i

now we have
7-9i+1-3i
8-12i

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A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?The line represents a direct variation because = .
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because –4(3) ≠ 4(3).

Answers

The line does not represent direct variation because it does not go through the origin. In fact, it happens to be a horizontal line whose equation is : y = 3.

A line y= k x, represents a direct variation if , $k=(y)/(x)$

As,line passes through (-4,3) and (4,3).

Equation of line passing through two points is,

$(y-3)/(x+4)=(3-3)/(4+4)\n\n y-3=0$

Given by the formula: $(y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))$

As, the line does not pass through origin , so the line passing through (-4,3) and (4,3) does not represent direct variation.

Option (C)=The line does not represent a direct variation because it does not go through the origin.

Astronauts milky and way boarded their spacecraft 4 1/2 hours before launch. They ate lunch 2 1/3 hours after launch. How many hours passed between boarding time and lumch time?

Answers

6 5/6 hours i believe

Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?

Answers

Answer:

207

Step-by-step explanation:

9ft=3yrds

3x69=207

Ron takes a ribbon thats 48inches long and cuts it in 2pcs, how long is each pcs, 1 pc is 3times as the other how long is each pcs.

Answers

48/4 because it is 3 times as long as the other piece thinking there are 4 pieces. So one piece has to be 12 because 48/4 is 12 and 12 x 3 is 36 so then we double check 12+36=48 so the pieces are 12inc and 36inc

Which expressions are equivalent to when x0? Check all that apply.

Answers

we have that

$((x+4))/(3) / (6)/(x) = (x*(x+4))/(3*6) \n \n = (( x^(2) +4x))/(18)$

therefore

case a)
$((x+4))/(3) * (x)/(6)$
Is equivalent

case b)
$(6)/(x) * ((x+4))/(3)$
Is not equivalent

case c)
$(x)/(6) * ((x+4))/(3)$
Is equivalent

case d)
$((2 x^(2) +4x))/(6)$
Is not equivalent

case e)
$((2 x^(2) +4x))/(18)$
Is equivalent

Hence

the answer is

$((x+4))/(3) * (x)/(6)$

$(x)/(6) * ((x+4))/(3)$

$((2 x^(2) +4x))/(18)$

Answer:

The correct representation of the expression are:

$(x+4)/(3)((x)/(6))$

$((x)/(6))(x+4)/(3)$

$(x^2+4x)/(18)$

Step-by-step explanation:

We are given an algebraic expression as:

$(x+4)/(3)$ ÷ $(6)/(x)$

This expression could also be written as:

$=((x+4)/(3))/((6)/(x))$

We know that any expression of the form:

$((a)/(b))/((c)/(d))$ is given by:

$((a)/(b))/((c)/(d))=(a* d)/(b* c)}$

Hence, we get the given expression as:

$=((x+4)/(3))/((6)/(x))=((x+4)* x)/(3* 6)\n\n=(x+4)/(3)* (x)/(6)$

Also, on solving we get:

$=((x+4)/(3))/((6)/(x))=(x^2+4x)/(18)$

Choose one of the factors of x6 + 1000x2

x2 – 10

x4 – 10x2 + 100

x4 + 10x2 + 100

Answers

x⁶ + 1000
x⁶ - 10x⁴ + 10x⁴ + 100x² - 100x² + 1000
x⁶ - 10x⁴ + 100x² + 10x⁴ - 100x² + 1000
x²(x⁴) - x²(10x²) + x²(100) + 10(x⁴) - 10(10x²) + 10(10)
x²(x⁴ - 10x² + 100) + 10(x⁴ - 10x² + 100)
(x² + 10)(x⁴ - 10x² + 100)

C is the Correct Answer 100%.

Mark Brainiest Answer plz.

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