Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]

Given that:

[tex]Z_1 = 1 + 3i[/tex]

[tex]Z_2 = 4 + 5i[/tex]

Since O is the origin, then:

[tex]C = OA + OB[/tex]

This means that:

[tex]Z_3 = Z_1 + Z_2[/tex]

So, we have:

[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]

Collect like terms

[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]

[tex]Z_3 = 5+ 8i[/tex]

Hence, complex number Z3 is [tex]5+ 8i[/tex]

Read more about complex numbers at:

https://brainly.com/question/18509723

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Answer:

Step-by-step explanation: 10 meters/3 meters =x/4.5 meters

Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high

3x = 10 (4.5)

3x = 45

X= 45/3

X= 15 meters

So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.

Answer:

point B

Step-by-step explanation:

The y- intercept is the point where the graph crosses the y axis

Answer:

11

Step-by-step explanation:

3 (x + 5) = 5x - 7

3x + 15 = 5x - 7

3x - 5x = -7 -15

-2x = - 22

x = 11

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

Answer:

[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]

but a and b are 0:

[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]

Function

It is a function

Answer:

6 feet to 10 inches

6 ft : 10 inches

There are 12 inches in a foot, so we have:

72 inches : 10 inches

36 inches : 5 inches

36:5

So the ratio is 36/5

Let me know if this helps!

Answer:

The net change is -.30

Step-by-step explanation:

increase means add

decrease means subtract

+3.50

-3.70

+3.30

-3.40

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-.30

The net change is -.30

And=2025 students gave 10125 rs

just divide it by 5hope it helps...pls mark me brainliest

Answer:

scale facor is 1/3

Step-by-step explanation:

Answer:

Click on the link below to view the answer with the explanation in futher detail

Explanation:

Click the attached link to view the answer

Answer:

[tex]3b(a^{3} - 18)[/tex]

Step-by-step explanation:

[tex]3a^{2}b-54b[/tex]  => [tex]3b(a^{3} - 18)[/tex]

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} 3a^3\underline b-54\underline b=b(3a^3-54)=\boxed{3b(a^3-18)}[/tex]

Answer:

Set 1 is not a function

Step-by-step explanation:

You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.

Answer:

8n-2 = 6n+9

2n-2 = 9

2n = 11

n = 5.5

So C is correct

Let me know if this helps!

Step-by-step explanation:

am not seeing it is not clear capture another video

Answer:   (x, y) = (6, 1)

This means x = 6 and y = 1

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Explanation:

I'll use the substitution method to solve this system.

Let's solve the second equation for x

x-2y = 4

x = 4+2y

Then plug that into the first equation so we can solve for y.

3x - 2y = 16

3(4+2y) - 2y = 16 ... x replaced with 4+2y

12+6y - 2y = 16

12 + 4y = 16

4y = 16-12

4y = 4

y = 4/4

y = 1

Lastly, use this y value to find x

x = 4 + 2y

x = 4 + 2(1)

x = 6

The solution as an ordered pair is (x, y) = (6, 1)

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

Checking the answer:

Plug those x,y coordinates into the first equation

3x - 2y = 16

3(6) - 2(1) = 16

18 - 2 = 16

16 = 16

That confirms the first equation. Repeat for the second equation

x - 2y = 4

6 - 2(1) = 4

6 - 2 = 4

4 = 4

Both equations are confirmed.

Answer: b = 4

Step-by-step explanation:

Given

4b + 5 = 1 + 5b

Subtract 4b on both sides

4b + 5 - 4b = 1 + 5b - 4b

5 = 1 + b

Subtract 1 on both sides

5 - 1 = 1 + b - 1

[tex]\boxed{b=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Theta = 37.9 degrees

AC = 11.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan theta = 7/9

tan ^ -1 tan theta = tan ^-1 (7/9)

theta =37.87498

To 1 decimal place

Theta = 37.9 degrees

We use the Pythagorean theorem to find AC

a^2 + b^2 = c^2

7^2 + 9^2 = AC^2

49+81 = AC^2

130 = AC^2

Taking the square root of each side

sqrt(130) = sqrt(AC^2)

AC = 11.40175

Rounding to 1 decimal place

AC = 11.4

Answer:

900°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Answer:

$1326

Step-by-step explanation:

please mark as brainlyest

Answer:

I didn't understand your language bro its OPT question is wrong

Step-by-step explanation:

Actually ooo √3 is root

Answer:

Y = 8 + 2d

Step-by-step explanation:

Y = 8 + 2d where d is miles traveled

Answer:

y = 2d + 8

Brainliest, please!

Step-by-step explanation:

y = mx + b

m = slope, b = y-intercept

The flat rate of $8 is the y-intercept, and the slope is $2.

y = 2x + 8

We can change x to d to match the context of this problem.

y = 2d + 8

Answer:

yes but something like that

Answer:

5

Step-by-step explanation:

We know that

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

and

[tex]xy = 2[/tex]

Solve for x in first variable

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

Substitute this into second equation

[tex](3 - y)y = 2[/tex]

[tex] - {y}^{2} + 3y - 2[/tex]

Simplify

[tex] {y}^{2} - 3y + 2[/tex]

[tex](y - 1)(y - 2)[/tex]

[tex]y = 1[/tex]

[tex]y = 2[/tex]

So x or y can be

[tex]x = 1 \: \: y = 2[/tex]

or

[tex]x = 2 \: \: \: y = 1[/tex]

So we need to find x^2 and y^2.

[tex] {2}^{2} + {1}^{2} = 5[/tex]