How does using the properties of addition makes a problem easier to solve

Step-by-step explanation:

3 + (2 * i)) - (5 - (4 * i)) =

-2 + 6 i

Answer:

−8−2i

Step-by-step explanation:

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Answer:

Let's define two transformations.

Vertical translation.

If we have a function f(x), a vertical translation of N untis is written as:

g(x) = f(x) + N

If N is positive, then the translation is upwards

If N is negative, then the translation is downwards.

Horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x - N)

if N is positive, then the translation is to the right

If N is negative, then the translation is to the left.

Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.

Then:

g(x) = f(x - 5) + 3

and again, using f(x) = x^2

g(x) = (x - 5)^2  + 3

Answer:

C) 16 points

Step-by-step explanation:

Hello!

[tex]\large\boxed{c_{5} = 136}[/tex]

We can begin by solving for c₃ given the equations:

c₃ = 3c₂ + 2c₁ - 2

c₃ = 3(2) + 2(4) - 2

Simplify:

c₃ = 6 + 8 - 2 = 12

We can now find the subsequent terms:

c₄ = 3(12) + 2(2) - 2 = 38

c₅ = 3(38) + 2(12) - 2 = 136

Now we have to,

find the required value of c₅.

Given that,

→ c₁ = 4

→ c₂ = 2

→ [tex] \sf {c_n = 3c_{n-1}+2c_{n-2}-2}[/tex]

Let's solve c₃ first,

→ 3c₂ + 2c₁ - 2

→ 3(2) + 2(4) - 2

→ 6 + 8 - 2 = 12

Then the value of c₃ is

→ [c₃ = 12]

Then find the value of c₄,

→ c₄ = 3(12) + 2(2) - 2

→ c₄ = {36 + 4} - 2

→ c₄ = 40 - 2

→ [c₄ = 38]

Next we can solve for c₅,

→ c₅ = 3(38) + 2(12) - 2

→ c₅ = {114 + 24} - 2

→ c₅ = 138 - 2

→ [c₅ = 136]

Hence, the value of c₅ is 136.

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Answer:

26

Step-by-step explanation:

180-63-78 = 39

180 - 39- 59 =82

180-82-72=26

Answer:

prevents people from effectively socializing

Step-by-step explanation:

social distancing presents the dangers of increasing social rejection, growing impersonality and individualism, and the loss of a sense of community.

Answer:   x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

The answer:

15.157059248=15.2(When rounded to the nearest tenth)

Answer:

Ok so the answer is the first option

Answer:

1/6

Step-by-step explanation:

Answer:

10 cups of water should be used

Step-by-step explanation:

Answer:

2 : 4 : : x : 20

2×20/4

2 × 5 = 10

therefore he should use 10 cups of water

Hope it helps!

Answer:

30

Step-by-step explanation:

length x width = surface area

7.5 x 4 = 30

Answer:

im pretty sure what u have ther is right

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

Answer:

75.36

Step-by-step explanation:

Area of the top of the snowman

A=πr^2

A=3.14(5)^2

A=78.5

A=πr^2

A=3.14(7)^2

A=153.86

The difference of the areas:

153.86-78.5

=75.36

Answer:

first evening, 10 calls, second evening 80 calls, third evening, 20 calls.

Step-by-step explanation:

if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.

X+10+X+4X+40=110

6X+50=110

6X=110-50

6X=60

X=10

First evening, 10 calls,

second evening 80 calls; 4X+40, 4(10)+40=80

third evening 20 calls; X+10, (10)+10=20

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

Step-by-step explanation:

1. simple interest

I= p × r × t

I = 1050 × 4.5 × 2

I = $9450

2. principal

p = I/(rt)

p= 22.50/ (3× 3)

p = 22.50/9

p = $2.5

3. simple interest

I= p × r × t

I = 500 × 5 × 3

I = $7500

4. time

first convert r to decimal

r= r/100, r= 3.5 / 100

r= 0.035

t = i/(pr)

t = 43.75/ (2500× 0.035)

t = 43.75/ 87.5

t = 0.5 year or 6 months

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)

Answer:

Remember that the Pythagorean's theorem says that:

For a triangle rectangle with hypotenuse H and catheti A and B:

H^2 = A^2 + B^2

Here we also need to remember that the area of a square of side length L is:

area = L^2

Now let's solve this.

First, we start with two squares, one of side length a and the other of side length b.

Such that the complete area in the first image is:

area = a^2 + b^2

Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.

in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:

area = c^2

Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:

a^2 + b^2 = area = c^2

a^2 + b^2 = c^2

And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.

Answer: The answer is 1st quadrant.

Step-by-step explanation: