Whats the answer to this

Answer:

[tex]d = 16.55[/tex]

Step-by-step explanation:

Given

[tex]z_1 = -8 + 3i[/tex]

[tex]z_2 = 7 - 4i[/tex]

Required

The distance between them

First, calculate the difference (d) between z1 and z2

[tex]d = z_1 - z_2[/tex]

[tex]d = -8 + 3i - [7 - 4i][/tex]

Open bracket

[tex]d = -8 + 3i - 7 + 4i[/tex]

Collect like terms

[tex]d = -8 - 7+ 3i + 4i[/tex]

[tex]d = -15+ 7i[/tex]

Using modulus, we have:

[tex]d = \sqrt{R^2 + I^2}[/tex]

Where

R = Real Part = -15

I = Imaginary Part = 7

So, we have:

[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]

[tex]d = \sqrt{225 + 49}[/tex]

[tex]d = \sqrt{274}[/tex]

[tex]d = 16.55[/tex]

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

Answer:

4

Step-by-step explanation:

Sort values from smallest to largest: 3, 4, 4, 5, 6  

Find the center index value:

(N) = 5

Center index = [tex]\frac{(N+1)}{2}[/tex]

Center index = 3

The median is the 3rd value, which is 4.

Hope that this helps!

Answer:

c 7 + 7x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

Answer:

The answer is D. y-10=2(x-1)

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

First, find the slope from the two points:

m=(10-2)/(1+3)=2

let [tex]y_{1}=10 and x_{1}=1[/tex]

thus, y-10=2(x-1)

Answer:

$1,100

Step-by-step explanation:

Given that

Earnings of Mr Jackson is $1,500

Earnings of his wife is $850

They need to set aside the following amounts

For foods, it would be $200

For gas, it would be $75

For Mortgage it would be $625

ANd, for savings, it would be $350

We need to find out the amount of money that they have left each week

So, the amount would be

= $1,500 + $850 - $200 - $75 - $625 - $350

= $1,100

Answer:

Step-by-step explanation:

The Hudson family is saving for a

family vacation to Disney World.  

They determine that the trip will

cost $3,200.  Mr. and Mrs.

Hudson have already set aside

$1,500 for the trip.  If they leave

in 16 weeks, then how much

will they need to save

each week?

Answer:

10

0.1

100/9,11.111

1500

The sum of this series=11.11

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

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Answer:

Parallelogram area = (height × base)

Parallelogram area = 3 * 10 cm

Area = 30 square centimeters

Source: http://www.1728.org/quadpar.htm

Step-by-step explanation:

Answer:

Independent variable (x in 2D cartesian) = t (time)

Dependent variable (y in 2D cartesian) = p (battery power)

The independent variable is time.

The dependent variable is battery power.

Time is independent because it cannot be controlled.

Battery power is dependent because it can be controlled.

Since t is in hours,

The battery power begins at 100% and decreases 5% each hour.

Here's the Solution,

let's take :

now,

=》

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

=》

[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]

=》

[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]

=》

[tex]d = \sqrt{16 + 9} [/tex]

=》

[tex]d = \sqrt{25} [/tex]

=》

[tex]d = 5[/tex]

So, distance between the points is 5 units

Answer:

The answer is B or 8

Step-by-step explanation:

Answer:

B. $8

Step-by-step explanation:

Find the slope of the graph 40/5 = 8

Answer:

Part D is correct

Step-by-step explanation:

Answer:

(-8)(-9)(-3)= -216

Step-by-step explanation:

-8 x -9 x -3 = -216

Answer:

2+6

Step-by-step explanation:

Answer:

2+6

Step-by-step explanation:

its 2 +6 Hope this helps.

Answer:

5.5

Step-by-step explanation:

tana=3a=3tana-tana^3a/1-3 tana^2a

=3(1/2)-(1/2)^3/1-3(1/2)^2

=3/2-1/8 /1-3/4

=(12-1/8)/1/4)

=(11/8)/(1/4)

=11/8×4

11/2====5.5

i think it help you do by this way if the answer is not this

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

Circumference = 2 x pi x radius

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

Answer:

3 bird HAHAHAH sana makatulong

Answer:

From point A to point B is x= -7 y= -4

From point B to point C is x= 6 y=-5

Step-by-step explanation:

I think it's kinda hard to see

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

Answer:

38 square feet. in return please subscribe to Amiredagoat Yt.

Step-by-step explanation:

If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet

In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.

Area of Alicia's garden = 50 square feet

Area of a section of tomatoes that is 3 feet by 4 feet,

A=4 × 3

A=12 sq feet

The spaces she has left in her garden to plant other crops is,

=50 - 12

=38 square feet

Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

Learn more about the rectangle here:

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Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope²            slope = 10       radius = 4

               h² = slope² - radius²

               h  =  √(slope² - radius²)

                   =  √(10² - 4²)

                   =  √ 86

                   =

Answer: 84

...........

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Step-by-step explanation:

I hope it will help you

Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

Answer:

log 7

Step-by-step explanation:

[tex]log (a)+log6=log(ab)\\\\[/tex]

[tex]log(c)-log(d)=log(c/d)[/tex]

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hope it helps...

have a great day!!

Answer:

Are u guys solving for k?

Step-by-step explanation: