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Answers: First Quadrant and Fourth Quadrant

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Explanation:

Let

be the two complex numbers.

Multiply them out to see what we get

[tex]w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\[/tex]

The result we get is in the form a+bi where

Recall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)

With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.

This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.

We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz

If b > 0, then wz is in quadrant 1

If b < 0, then wz is in quadrant 4

Answer:

V≈ 863.27 in³

Step-by-step explanation:

Answer:

y = 10x + 66

Step-by-step explanation:

I don't know if this is how you wanted me to do it, there was not enough information for me to conclude if this was the correct way to do it. but I added 9x + x and whenever there is a variable without a number in front of it the variable = 1x or whatever the variable is. So 9x + 1x= 10x and 17+49= 66 so put it together and you get y= 10x +66

Answer:

y-9x=17-----1

y-x. =49----2

2-1

y-x-(y-9x)=49-17

y-x-y+9x.= 32

8x =32

x=4

y=4+49

=53

x=4

y=53

Step-by-step explanation:

Use a Table of Values to Graph the Equation y =3x+1. y=3x+1 y = 3 x + 1. Substitute −2 - 2 for x x and find the result for y y . y=3(−2)+1 y

84848488ti

Step-by-step explanation:

................

Answer:

84848488 is the answer

Answer:

Step-by-step explanation:

90+42 angle S=180 degree(being sum of interior angles of a triangle)

132 angle S=180

angle S=180-132

angle S=48 degree

The area of a circle is the radius squared x pi.

Area = r^2 x pi

R is the radius which is half the diameter.

Diameter = 102 inches

Radius = 102/2 = 51 inches

Area = 51^2 x pi

Area = 2,601pi inches^2 ( in terms of pi) or

Area = 8,167.14 inches^2

Area of circle is 8,167.14 cm ²

We have

diameter of circle = 102 cm

And we need to find area of circle,

So the formula we using is

Area of circle = π ×r ²

Here,

R denotes for Radius

π denotes for pi.

For finding area of circle we need to find radius

here we have diameter of circle = 102 cm and

We know that ,diameter is the double of radius it means radius is the half of diameter

So, radius of circle = 102/2 = 51 cm

Now Solve it

Area of circle = π × ( r ) ²

Substitute the value

Area of circle = 3.14 × ( 51cm )² .. [ using π = 3.14 ]

Multiply the values

Area of circle = 3.14 × ( 51 cm × 51cm) ..[( 51 ) ²= 51 × 51]

Area of circle = 3.14 × 2,601 cm².

Therefore , Area of circle is 8,167.14 cm ²

Answer:

73.214285714285714285714285714286 (or 73 rounded down)

Step-by-step explanation:

76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76

76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025

1025/14 = 73.214285714285714285714285714286

73.214285714285714285714285714286 ≅ 73

Answer:

73.2

Step-by-step explanation:

76+66+55+80+80+72+97+70+80+72+88+50+63+76 =1025

Mean = 1025/14

= 73.2

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

Answer:

[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]

Answer:

1. 69

2. 198

3. 50

use subtraction and addition

Answer:

11. 26

12. 111

Step-by-step explanation:

_____________

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Answer:

that something very disgusting to even say wdf

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Hope I helped and I hope you get it correct

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

Answer:

24. f'(2)=4

27. f'(2)=√2/4

Step-by-step explanation:

Sorry if I'm wrong

Answer:

the answer is C .............

Answer:

wait I don't understand is this suppose to be a definition, City, or anything?

Answer:

ARN

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe formula for calculating midpoint is expressed as;

M(X, Y) = {(x1+x2/2), y1+y2/2}

Given

Midpoint = (2, 5)

K = (8, 7)

Required

Coordinate of M

X = x1+x2/2

2 = 8+x2/2

4 = 8+x2

x2 = 4-8

x2 = -4

Similarly;

Y = y1+y2/2

5 = 7+y2/2

10 = 7+y2

y2 = 10-7

y2 = 3

Hence the coordidates of M is at (-4,3)

Answer:

33.75 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]l*w*h[/tex] where l is the length, w is width, and h is height. So, to solve plug in the given sides to get, 2.5*3*4.5. This equals 33.75 [tex]cm^{2}[/tex].

Answer:

The submarine moves 4 units right and 6 units down to get to its current position

Step-by-step explanation:

Given

[tex](x,y) \to (x + 4, y - 6)[/tex]

Required

Describe the movement of the submarine from the initial to the current position

The rule of translation is as follows:

[tex]x \to x + a[/tex] --- This implies right translation by a units

[tex]y \to y -b[/tex] --- This implies down translation by b units

So, we have:

[tex]x \to x + a[/tex]

[tex]x \to x + 4[/tex]

By comparison;

[tex]a =4[/tex]

[tex]y \to y -b[/tex]

[tex]y \to y - 6[/tex]

By comparison:

[tex]b = 6[/tex]

Hence, the submarine moves 4 units right and 6 units down to get to its current position

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

[tex]\frac{4}{5} + \frac{1}{8}[/tex]

[tex]\frac{32 + 5}{40}[/tex] = [tex]\frac{37}{40}[/tex]

Distance she swam =  1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

Answer:

the answer is c

Step-by-step explanation:

Step-by-step explanation: 0-9-8+xyz