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The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.

The range is R or the interval (-∞, ∞).

Answer:

Probably how much you want this job, if you say 0, than they are prob gonna assume you dont want to do this job, and you wont do your best. If you say 5, then you do want this job and your excited and youll give your all

Step-by-step explanation:

Questions regarding the level of excitement or happiness of one's self are called mental health or happiness test.

Hence, the type of test on this context is Happiness test.

Learn more ::https://brainly.com/question/3565320

Answer:

Graph Below:

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]

this is an exponential growth formula:

Total = start value x ( 1 + percent) ^ time

Population = 275(1.075)^h

Answer:

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]

[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]  

Note that distance is always positive

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

I think the answer might be c

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Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!

Answer:

64in

Step-by-step explanation:

v=L×W×H

= 4×4×4

= 16 ×4

= 64in²

Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

C

Step-by-step explanation:

There are 12 months in 1 year , then

3 lots of 4 months in 1 year and

3 × 3 = 9 lots of 4 months in 3 years

cost of lessons = $174 × 9 = $1566 → C

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

Answer:

Cociente: Español

Step-by-step explanation:

Quotient: English

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

[tex]\\ \sf\longmapsto V=5in^3[/tex]

[tex]\\ \sf\longmapsto side^3=5[/tex]

[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]

[tex]\\ \sf\longmapsto side=2.2in[/tex]

Side gets tripled

[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]

[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]

Answer:

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

The enlarged cube has the volume: