3,394 divided by 42

Answer:

  -1 -3i

Step-by-step explanation:

It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.

  (-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i

(4m - n)(3m - 2n)

12m^2 - 8mn - 3mn + 2n^2

Let's combine like terms

12m^2 - 11mn + 2n^2

Answer:

12m^2+2n^2-11mn

Step-by-step explanation:

(4m-n)(3m-2n)

=12m^2-8mn-3mn+2n^2

12m^2+2n^2-11mn

Answer:

its A

Step-by-step explanation:

Answer:

[tex]2a+3[/tex] books

Step-by-step explanation:

Sonya -> [tex]a[/tex] books

Nick -> [tex](a+3)[/tex] books

Total: [tex]a+(a+3)=a+a+3=2a+3[/tex]

Expanded Notation Form:

 7,000,000  

+ 0  

+ 50,000  

+ 0  

+ 0  

+ 20  

+ 4  

Expanded Factors Form:

 7 × 1,000,000  

+ 0 × 100,000  

+ 5 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 2 × 10  

+ 4 × 1  

Expanded Exponential Form:

7 × 106

+ 0 × 105

+ 5 × 104

+ 0 × 103

+ 0 × 102

+ 2 × 101

+ 4 × 100

Hope this helps? :))

Answer:7,00,000 50,000 20 4n

Step-by-step explanation:

Step-by-step explanation:

3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16

6x + 3 - 2x - 10 - 25 + 10x = 16

6x - 2x + 10x = 16 - 3 + 10 + 25

14x = 48

x = 48/14

x = 24/7

Answer:

35 counting yourself.........34 not

Answer:

Step-by-step explanation:

∠6 = 45     {Vertically opposite angles are equal}

∠6 + 5x + 35 = 180  {Co interior angles}

45 + 5x + 35 = 180  {add like terms}

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 100/5

x = 20

5x + 35 =  5*20 + 35 = 100 + 35 = 135

∠8 = 5x + 35   { Corresponding angles}

3) ∠8 = 135

4) ∠ 3 = ∠6    {Alternate interior angles are equal}

∠3 = 45

5) ∠6 = 45

Answer:

36 units^2

Step-by-step explanation:

The area of a triangle is 1/2*base*height. Knowing this is just 2 triangles means you solve for 1 triangle, then multiply that by 2

Answer:

[tex]A=36\text{ units}^2[/tex]

Step-by-step explanation:

The area of a rhombus is given by the formula:

[tex]A=\frac{d_1\cdot d_2}{2}[/tex]

Namely, it is half of one diagonal multiplied by the other diagonal.

So, to find the area, we just need to find the length of AC and BD, multiply them together, and then divide by 2.

To find their lengths, we can use the distance formula. The distance formula is:

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

So, let's find the lengths of each diagonal:

AC:

Point A is (-1,0) and Point C is (-1,-6). Let (-1,0) be (x₁, y₁) and let (-1,-6) be (x₂, y₂). Substitute this into our formula:

[tex]d=\sqrt{(-1-(-1))^2+(-6-0)^2[/tex]

Simplify:

[tex]d=\sqrt{(-1+1)^2+(-6-0)^2[/tex]

Add or subtract:

[tex]d=\sqrt{(0)^2+(-6)^2[/tex]

Square:

[tex]d=\sqrt{36}[/tex]

Take the square root:

[tex]d=6[/tex]

So, the length of diagonal AC is 6.

BD:

Point B is at (5,-3) and Point D is at (-7,-3). Let (5,-3) be (x₁, y₁) and let (-7,-3) be (x₂, y₂). Substitute this into our formula:

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

Simplify:

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

Add or subtract:

[tex]d=\sqrt{(-12)^2+(0)^2[/tex]

Square:

[tex]d=\sqrt{144}[/tex]

Take the square root:

[tex]d=12[/tex]

So, our second diagonal is 12 units long.

Now, to find the area, substitute 6 and 12 into our formula. So:

[tex]A=\frac{d_1\cdot d_2}{2}[/tex]

Substitute 6 for d₁ and 12 for d₂. So:

[tex]A=\frac{(6)(12)}{2}[/tex]

Multiply:

[tex]A=\frac{72}{2}[/tex]

Divide:

[tex]A=36\text{ units}^2[/tex]

So, the area of the rhombus is 36 squared units.

And we're done!

Notes:

Of course, instead of using the distance formula, you can also just count :)

Answer:

221

Step-by-step explanation:

2-1+5*4*11

2-1+20*11

2-1+220

1+220

221

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

-31200

5000 + 500 = 5500

5500- 36700 = -31200

Answer: 31, 200

Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200

Answer:150,000

Step-by-step explanation:

1500×10=15000

150,000÷100=1500

1500÷10=150

So 150,000 is not an answer in one the expressions

Answer:150,000

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:

Answer: it will take 8 periods of 1/2 hour to make up 4 hours

Step-by-step explanation:

It will take 8 periods of 1/2 hour to make up 4 hours.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Half an hour is 30 minutes,

There are 60 minutes in an hour.

4 hours=240 minutes.

240/30 = 8

Hence, 8 periods of 1/2 hour to make up 4 hours.

Learn more about Arithmetic operations

https://brainly.com/question/25834626

#SPJ5

Answer:

The answer is: If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.

Step-by-step explanation:

Answer:

Step-by-step explanation:

↘↘↘↙↙↖↗↙↖

Answer:

50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Hope this helps!

Answer:

carollnx talk me

............ that is the correct options

Answer:

be confident to answer any questions

Answer:

The answer is

Step-by-step explanation:

The equation of a circle is given by

where ( a , b) is the center of the circle and

r is the radius

From the question the center is

P (-3, 8) and radius = 12

Substitute the values into the above formula and solve

That's

( x + 3)² + ( y - 8) = 12²

Expand the terms

That's

x² + 6x + 9 + y² - 16y + 64 = 144

Arrange the terms

x² + y² + 6x - 16y + 9 + 64 - 144 = 0

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

(12x − 36) = 5x + 18

First of all remove the parenthesis

That's

12x - 36 = 5x + 18

Next subtract 5x from both sides of the equation

We have

12x - 5x - 36 = 5x - 5x + 18

7x - 36 = 18

Add 36 to both sides of the equation

That's

7x + 36 - 36 = 18 + 36

7x = 54

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{54}{7} [/tex]

We have the final answer as

[tex]x = \frac{54}{7} [/tex]

Hope this helps you

Answer: x=54/7

Step-by-step explanation:

To find the value of x, we need to use algebraic properties to isolate x.

12x-36=5x+18         [subtract both sides by 5x]

7x-36=18                  [add both sides by 36]

7x=54                      [divide both sides by 7]

x=54/7

Now, we know that x=54/7.

[tex]\text{Hello there! :]}[/tex]

[tex]\large\boxed{125 \text { vases}}[/tex]

[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]

Answer:

125=_=_=

Step-by-step explanation:

hoped I helped

Answer:

39.5 astronomical units

Answer:

Your answer is B. #795. Hope this helps!

Answer:

B. $795

Step-by-step explanation: