write the expression (6-3i)+(5+4i) as a complex number in standard form

Answer:

[tex]Area = 112.5[/tex]

Step-by-step explanation:

Given

[tex]X = (15,20)[/tex]

[tex]Y = (15,5)[/tex]

[tex]Z = (0,5)[/tex]

Required

Determine the area of the triangle

The area is calculated using the following formula:

[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]

Where

[tex](X_x,X_y) = (15,20)[/tex]

[tex](Y_x,Y_y) = (15,5)[/tex]

[tex](Z_x,Z_y)= (0,5)[/tex]

Substitute right values in the given formula:

[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]

[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]

[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]

[tex]Area = |\frac{225}{2}|[/tex]

[tex]Area = |112.5|[/tex]

[tex]Area = 112.5[/tex]

Hence, the area of the triangle is 112.5

Answer:

x = -1/3 - 3/2y

Step-by-step explanation:

Step 1: Write out equation

3y + 2x = -1

Step 2: Subtract 3y on both sides

3y - 3y + 2x = -1 - 3y

2x = -1 - 3y

Step 3: Divide both sides by 2

2x/2 (-1 - 3y)/2

x = -1/3 - 3/2y

Answer:

Hey there!

3y+2x=-1

2x=-3y-1

x=-3/2y-1/2

Let me know if this helps :)

Answer:

v= 29/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(v−2)=−3−22

(−2)(v)+(−2)(−2)=−3+−22(Distribute)

−2v+4=−3+−22

−2v+4=(−3+−22)(Combine Like Terms)

−2v+4=−25

−2v+4=−25

Step 2: Subtract 4 from both sides.

−2v+4−4=−25−4

−2v=−29

Step 3: Divide both sides by -2.

−2v

−2

=

−29

−2

v=

29/2

Answer:

The answer is g(x) = |x - 3|

Step-by-step explanation:

Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|

We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.

Then in the interval [-6, 0) the bucket was leaking

In the interval [0, 3] the bucket was being filled.

Now we want a transformation that represents the last 3 hours of leaking.

Also, remember that for a general function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left

If N is negative, the translation is to the right.

If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.

So, if we define the function as:

g(x) = f(x - 3)

when we evaluate g(x) in zero we get:

g(0) = f(-3)

So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.

Remembering that f(x) = |x|

We can see that the correct option is:

g(x) = f(x - 3) = |x - 3|

g(x) = |x - 3|

Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).

If you want to learn more, you can read:

https://brainly.com/question/13435754

Step-by-step explanation:

A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.

The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.

The chronotypes are : Morning person, night person, neither/both.

It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.

Step-by-step explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

[tex] \sin = \frac{p}{h} [/tex]

[tex]sin \: 40 = \frac{p}{15} [/tex]

or, as in per the given sin value is 0.6428

so,

[tex]0.6428 = \frac{p}{15} [/tex]

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...

Answer:

Rational Number

Step-by-step explanation:

It is not a natural number as natural numbers are the counting numbers we use and therefore only encompass positive integers,which - 2.75 is not. Whole numbers and integers do not include decimals and fractions, therefore - 2.75 is not included either does to its decimal. Finally it is a rational number because it can be properly expressed as a fraction (-2.75/1). Therefore it is just a rational number from this list.

Hope this helped!

Answer:

Option C.  y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

Answer:

2 cuadrante

Step-by-step explanation:

Let's make a proportion to solve this problem.

[tex]\frac{9}{54}=\frac{4}{x}[/tex]

[tex]9x=216[/tex]

[tex]x=24[/tex]

4 tickets cost $24

Hope this helps.

頑張って!

Answers: A, B, C

These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.

In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).

Answer:

(5m^32 -9n^8) (5m^32 +9n^8)

Step-by-step explanation:

[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]

Answer: i) 512,000 cm³      ii) 512,000 cc        iii) 512 litres

Step-by-step explanation:

Volume (V) of a cube is side (s) cubed:    V = s³

Given: s = 80 cm

i) V = (80 cm)³

      = 512,000 cm³

ii) 512,000 cm³ = 512,000 cc

iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters

Answers:

x intercept = 4

y intercept = 2

============================================

Explanation:

To find the x intercept, plug in y = 0 and solve for x

5x+10y = 20

5x+10(0) = 20

5x = 20

x = 20/5

x = 4

The x intercept is x = 4, which means it is located at the point (4,0)

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

We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.

5x+10y = 20

5(0)+10y = 20

10y = 20

y = 20/10

y = 2

The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.

Answer:

Step-by-step explanation:

116

The area of the shaded part of the model shown below will be 72 square cm.

Area of a rectangle is the product of its length and width.

If a rectangle has a length of L units and a width of W units, then

Area = L × W squared units.

Marty drew a model of the school library.

The total area of the floor is 132 square centimeters.

Then the area of the shaded part of the model shown below will be

Area = 132 - 10 x 6

Area = 132 - 60

Area = 72 square cm

Then the correct option is C.

Learn more about the area of a rectangle here:

https://brainly.com/question/4887838

#SPJ5

Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.

encourages hitters when they are playing well and when they aren't playing well.

(I used to play volleyball myself)

===========================================================

Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

Answer:

I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888

Answer:

Step-by-step explanation:

If you can't use a calculator break it apart.

1 X 3.24 is 3.24

Now take .2 x 3.24   this is easy, just remember to move the decimal in the answer one more to the left.

  3.24

x      .2

 .684        moved the decimal one more spot

Now we take 3.24 + .684

   3.24

+    .648

   3.888

Yes, you are correct!

8x⁴-6x³+2/2x²+3

= 4x² + -6x³-12x²+2/2x²+3

= 4x² - 3x + -12x²+9x+2/2x²+2

= 4x² - 3x - 6 + 9x+20/2x²+3

Best of Luck!

Answer:

13i, -13i

Step-by-step explanation:

To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions

Answer:

false because each go up by two and I didnt even look it up

Answer:

0.00006824883

Step-by-step explanation:

right?

Step-by-step explanation:

6y - 10y - 11 = 8y - 2y + 29

6y - 10y +16y - 11 = 8y - 2y + 29 + 16y

-11 = 22y + 29

11 = 22y + 40

-29 = 22y

Not sure yet I think I made a mistake hold up

Answer:

x=3/8

Step-by-step explanation:

2*x=3/4

x=3/4*2

x=3/8

Answer:

9

Step-by-step explanation:

Answer:

3+3+3=9 Slove this

Step-by-step explanation:

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