Which properties must you use to add or subtract complex numbers?
O associative and identity properties
O associative and distributive properties
O commutative and inverse properties
O commutative and zero product properties

Answer:

there are 15 boys in kelvin's class

Step-by-step explanation:

Answer:

i don't know sorry

Step-by-step explanation:

Answer:

41°

Step-by-step explanation:

Using cosine rule : since the 3 sides are given

p = 6 ; q = 4 ; r = 5

q² = p² + r² - 2prCosQ

2prCosQ = p² + r² - q²

COS Q = (p² + r² - q²) / 2pr

Cos Q = (6² + 5² - 4²) / 2*6*5

Cos Q = 45 / 60

Cos Q = 0.75

Q = Cos^-1 (0.75)

Q = 41.409622

Q = 41° ( nearest degree)

Answer:

Step-by-step explanation:

b 41 degrees

Answer:

I thinks it's point 2 and if it's wrong I am sorry for that

Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2

Answer:The answer is X=-27 I am very sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3                        

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex]  = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

Item 3:

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

Answer:

(2,12) or x = 2 y = 12

this is correct trust

Answer:

x = 8

y = 29

Step-by-step explanation:

By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.

Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.

Hence one can say that;

4x + 17 = y + 20

Inverse operations;

4x + 17 = y + 20

     -17          -17

4x = y + 3

-3      -3

4x - 3 = y

Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.

When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words,  the same measure.

Based on that, one can say;

5x + 9 = y + 20

Earlier it was found that;

y = 4x - 3

Now substitute that into the previous equation, and solve using simplification and inverse operations;

5x + 9 = 4x - 3 + 20

5x + 9 = 4x + 17

     -9          -9

5x = 4x + 8

-4x   -4x

x = 8

Back solve to find y

y = 4x - 3

y = 4(8) - 3

y = 32 - 3

y = 29

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

Answer:

1) −5≠−4

False

2) 12≠15

False

Step-by-step explanation: I guess this is what you looking for, hope this help

Answer:

2 is true because I solved it

Answer:

Step-by-step explanation:

Answer:

580 children

420 adult

Step-by-step explanation:

y=1000 -x

-5x+10000=7100

-5x=-2900

x=580

1000-580=420 y=420

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

0.38095238095

Step-by-step explanation:

Answer:

8/21

Step-by-step explanation:

Answer:

No

explanation:

You are subtracting one and some more, so its going to be less than 4

Answer:

Minimum

Step-by-step explanation:

Answer:

Minimum

Step-by-step explanation:

Minimum means the least or smallest amount or quantity possible, attainable, or required.

Answer:

[tex]\huge\boxed{\sf 360 \ degrees}[/tex]

Step-by-step explanation:

A quadrilateral (having four sides) has a sum of interior angles equal to 360 degrees.

Since, A Parallelogram has 4 sides so it is also a quadrilateral which means that the sum of its interior angles equal 360 degrees.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

We know that the function IxI is such that:

IxI = x if x ≥ 0

IxI = -x if x < 0.

In this case, we have:

A = I3x - 6I + 2

If we do the same as above, we can write:

A = (3x - 6) + 2       if (3x - 6) ≥ 0

Let's look at the condition in the right, let's isolate the variable:

(3x - 6) ≥ 0

3x ≥ 6

x ≥ 6/3 = 2

Then the condition:

(3x - 6) ≥ 0

is equivalent to:

x ≥  2

Then we can write:

A = (3x - 6) + 2      if  x ≥ 2

If we simplify it further, we get:

A = 3x - 6 + 2        if  x ≥ 2

A = 3x - 4               if  x ≥ 2

This is what we wanted to prove.    

Answer:

Z = 6

Step-by-step explanation:

Z/12 = Cos(60°)

Z/12 = 1/2

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

Answer:  112 km

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

Work Shown:

(5 miles)/(8 km) = (70 miles)/(x km)

5/8 = 70/x

5*x = 8*70 ... cross multiply

5x = 560

x = 560/5 .... divide both sides by 5

x = 112

According to the given estimation, 70 miles converts to 112 km.

The more accurate conversion is approximately 70 miles = 112.65408 km, so this estimation isn't too far off.

Answer:

4.4

Step-by-step explanation:

10% of 44 is 4.4

Answer:

4.4

Step-by-step explanation: