simplify (3+4i)-(4-2i)

The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.

How to find the difference between two numbers?

Subtract the greatest from the smallest value of two numbers to determine the difference between them. The difference between the two numbers is the sum's product.

Given,

The two distances:

x = 43.82 feet

y = 50.02 feet

We have to determine the difference between x and y.

That is,

y – x. This is because y > x.

y – x = 50.02 feet – 43.82 feet = 6.2 feet.

Therefore,

The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.

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Answer:

2(x+4)

Step-by-step explanation:

common denominator is 2

Answer:

2(x+4)

Step-by-step explanation:

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

Answer:

4

Step-by-step explanation:

Let's first simplify all terms, then convert them to /10:

42/12 = 7/2 = 35/10

85/25 = 17/5 = 34/10

117/30 = 39/10

Then the final addition is:

(35-34+39)/10 = 40/10 = 4

Answer:

28.9

Step-by-step explanation:

3+5(6.2)-(24-9(2.1))

3+31-(5.1)

34-5.1

28.9

Answer:

28.9

Step-by-step explanation:

Answer:

Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]

Step-by-step explanation:

Perimeter of triangle = [tex]18m^3+2m^2-m[/tex]

Length of side 1= [tex]5m^3+3m^2-2m[/tex]

Length of side 2= [tex]5m^3+3m^2-2m[/tex]

We need to find length of third side.

The formula used is: [tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides[/tex]

Putting values and finding length of third side.

[tex]Perimeter \:of\:triangle=Sum\:of\:all\:sides\\18m^3+2m^2-m=5m^3+3m^2-2m+5m^3+3m^2-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=5m^3+5m^3+3m^2+3m^2-2m-2m+Length\:of\:3rd\:side\\18m^3+2m^2-m=10m^3+6m^2-4m+Length\:of\:3rd\:side\\Length\:of\:3rd\:side=18m^3+2m^2-m-(10m^3+6m^2-4m)\\Length\:of\:3rd\:side=18m^3+2m^2-m-10m^3-6m^2+4m\\Length\:of\:3rd\:side=18m^3-10m^3+2m^2-6m^2-m+4m\\Length\:of\:3rd\:side=8m^3-4m^2+3m[/tex]

So, Length of third side is: [tex]\mathbf{8m^3-4m^2+3m}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

the y coordinates are opposite numbers

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to check the given list and state the true values;

1. This is true

Compound interest has the exponent nt; simple interest has no exponent

2. This is false

Simple interest is only earned on the principal which is the amount deposited

3. True

Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame

4. This is false; check explanations above

5. This is true

Its value is only based on the amount invested originally

6. This is false

simple interest earns the same amount annually based on rate

7. This is false

Both considers the time factor t in their formulas

8. This is true

The interest and principal forms the principal for another compounding time

Answer:

Merry Christmas!!!! :D

Step-by-step explanation:

The awnser is 1 :D

Answer:

x=1

Step-by-step explanation:

15x=5(4-x)

15x=20-5x

20x=20

x=1

Happy Holidays! Please give me brainliest!

The remaining paper after the nth person cuts off their fraction is given by:

n                 A(n)

0                 80

1                  60

2                 45

3                 33.75

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

After the first person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 80

Fraction = 20

Remainder = 80 - 20 = 60 square inches.

After the second person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 60

Fraction = 15

Remainder = 60 - 15 = 45 square inches.

After the second person cuts off 1/4, the piece of paper left is given by:

Fraction = 1/4 × 45

Fraction = 11.25

Remainder = 45 - 11.25 = 33.75 square inches.

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Complete Question:

A piece of paper has an area of 80 square inches. A person cuts off 1/4 of the piece of paper. Then a second person cuts off 1/4 of the remaining paper. A third person cuts off 1/4 what is left, and so on.

Complete the table where A(n) is the area, in square inches, of the remaining paper after the nth person cuts off their fraction.

Answer: The answer is A and D

Step-by-step explanation: If you go through all the problems, just replace "b" with "(4)" into a calculator. For A and D, they both equaled 180.

Step-by-step explanation:

hey i hope this helps

its kind of blurry but u can still see the answer

Answer:

a) [tex]-16t^{2}+64t\geq40[/tex]

b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]

(see attached picture for the number line)

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) [tex]h_{max}=64ft[/tex]

d) t=2s

Step-by-step explanation:

a)

Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:

[tex]-16t^{2}+64t\geq40[/tex]

this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.

b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:

[tex]-16t^{2}+64t =40[/tex]

we can move the 40 to the other side of the equation so we get:

[tex]-16t^{2}+64t-40=0[/tex]

we can factor the equation so it's easier to solve, so we get:

[tex]-8(2t^{2}-8t+5) =0[/tex]

which simplifies to:

[tex]2t^{2}-8t+5=0[/tex]

and we can use the quadratic formula to solve this equation, so we get:

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]

so we get:

[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]

which yields:

[tex]2\pm \frac{\sqrt{6}}{2}[/tex]

and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex]  for a test value of 0

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4

so next we test each of the values in the original inequality and see if the inequality is true:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0

[tex]-16(0)^{2}+64(0)\geq40[/tex]

[tex]0\geq40[/tex] false

so this is not an answer.

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex]-16(1)^{2}+64(1)\geq40[/tex]

[tex]48\geq40[/tex]

true, so this is an answer.

[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4

[tex]-16(4)^{2}+64(4)\geq40[/tex]

[tex]-16(16)+64(4)\geq40[/tex]

[tex]-256+256\geq40[/tex]

[tex]0\geq40[/tex]

false, so this is no answer.

So the answer is the interval:

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)

so we can use the following formula to find the t-value for this maximum height:

[tex]t=-\frac{b}{2a}[/tex]

so we substitute the corresponding values:

[tex]t=-\frac{64}{2(-16)}[/tex]

which yields:

t=2s

next, we can substitute this time into the original function to find the maximum height, so we get:

[tex]h=-16(2)^{2}+64(2)[/tex]

which yields:

h=64 ft

d) We found the answer for d on the previous part where we got that t=2s

Answer:

7% of 100 is 7 so 100 + 7 = 107

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

7.5 (the lenght of the pencil) multiplied by 9 (the number of pencils) is 67.5

Answer:

7in

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

need points

Answer:

not even funny

Step-by-step explanation:

u should get banned this website is for education

Answer:

I hope this helps you

Step-by-step explanation:

50.2654824574

Answer:

b= -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3b - 6 = 18

      +6    +6

     -3b =​ 24

  -3b/-3 = 24/-3

          b = -8

The coordinates of the vertices of the image of the triangular figure with vertices (-5, -3), (-2, -9), (-5, -8) are the points (3, 3), (6, -5), (7, -2)

A reflection transformation is one in which the image points are mirrored about a line of reflection.

The coordinates of the vertices of the triangle following a reflection about the line y = -2·x - 3 can be found as follows;

The coordinates of the vertices of the triangle are; (-5, -3), (-2, -9), (-5, -8)

The slope of the line y = -2·x - 3 is m₁ = -2, therefore, the slope, m₂ of the line of reflection is m₂ = -1/(-2) = 1/2

The equations of the line of reflection are therefore;

y = (1/2)·(x + 5) - 3 = 0.5·x - 0.5

y = 0.5·x - 0.5

The point of intersection can therefore be found as follows;

0.5·x - 0.5 = -2·x - 3

Which indicates, using an online calculator, x = -1

y = 0.5 × (-1) + 0.5 = 0

The point of intersection of the line from (-5, -3) to the image and the line of reflection  is (-1, 0)

(x₁ + x₂)/2 = -1

(-5 + x₂)/2 = -1

x₂ = 3

Similarly; (y₁ + y₂)/2 = 0

(-3 + y₂)/2 = 0

y₂ = 3

The image of the point (-5, -3) following a reflection is (3, 3)

Equation of the line from point (-2, -9) is; y = 0.5·(x + 2) - 9

y = 0.5·x + 1 - 9 = 0.5·x - 8

The point of intersection is; 0.5·x - 8 = -2·x - 3

Which indicates x = 2 and y = -7

(x₁ + x₂)/2 = 2

(-2 + x₂)/2 = 2

x₂ = 6

Similarly; (y₁ + y₂)/2 = -7

(-9 + y₂)/2 = -7

y₂ = -5

The coordinate of the point (-2, -9) following a reflection about the line y = -2·x - 3 is (6, -5)

The equation from the perpendicular line to the line of reflection from the point (-5, -8), is; y = 0.5·(x + 5) - 8 = 0.5·x + 2.5 - 8 = 0.5·x - 5.5

y = 0.5·x - 5.5

The point of intersection with y = -2·x - 3 is therefore at the point; 0.5·x - 5.5 = -2·x - 3

x = 1

y = -5

(x₁ + x₂)/2 = 1

(-5 + x₂)/2 = 1

x₂ = 7

Similarly; (y₁ + y₂)/2 = -5

(-8 + y₂)/2 = -5

y₂ = -2

The coordinate of the point (-5, -8) following a reflection about the line y = -2·x - 3 is (7, -2)

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Answer:

Step-by-step explanation

Since it says and that can mean add 17.

The product of a number is a number that was multiplied. So 30 is a product of 5 and 6.

So maybe the answer might be

x+17

Answer:

9/-2

Step-by-step explanation:

im in algebra and its easy

Answer:

The answer is 3

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

6.8

Step-by-step explanation:

In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.

-6/5 as a decimal is -1.2

-1.2+8= 6.8

So it is 6.8>-10

We have a translation 3 units downwards and 4 units to the right. So the equation is:

g(x) = ∛(x - 4) - 3

We know that g(x) is a transformation of the parent cube function, which is f(x) = ∛x

If we look at the image, we can see that the graph of g(x) is exactly like the graph of f(x), but translated 3 units downwards and 4 units to the right.

A vertical translation of N units is written as:

g(x) = f(x) + N

A translation of 3 units downwards is written as:

g(x)= f(x) - 3

A horizontal translation of N units is written as:

g(x) = f(x + N)

Then a translation of 4 units to the right is:

g(x) = f(x - 4) - 3

Replacing the function f(x) we get:

g(x) = ∛(x - 4) - 3

That is the transformed function. So the correct option is D

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Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, the distance between (-5,8) and (-3,1) is

[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]

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

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

[tex]d=\sqrt{4+49}[/tex]

[tex]d=\sqrt{53}[/tex]

Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.