simplify and express in a + bi form: (12 + 3i) - (3 - 1)

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

Answer:

(3/10) * (x ^ 2)

Step-by-step explanation:

The first thing we are going to do is rewrite the expression correctly.

We have:

root (27x ^ 12 / 300x ^ 8)

Rewriting:

root ((27/300) * (x ^ 12 / x ^ 8))

root ((9/100) * (x ^ (12-8)))

root ((9/100) * (x ^ (4)))

root ((9/100) * (x ^ (4)))

3 * x ^ 2 * root ((1/100)

(3 * x ^ 2) / 10

(3/10) * (x ^ 2)

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

Answer:

36 degrees

Step-by-step explanation:

So, first of all, the interior angles of any triangle add up to 180.

First, you add up all the numbers in the ratio.

13+23+9=45

180/45=4  [To find out how much each piece really equals]

So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.

4*9=36

Hope it helped, tell me if it's wrong, I'll correct it.

Answer:

36

Step-by-step explanation:

Ratio = 13 : 23 : 9

The interior angles are = 13x , 23x , 9x

13x + 23x + 9x = 180 {Angle sum property}

                45x = 180

                   x = 180/45

                  x = 4

Most acute angle = 9x = 9*4 = 36

Answer:120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

7. No becuse it needs to be 0,0 to be a proportional relationship

8. No it need to be a straight line to be a proportional relationship

9. No because people choose how many to pay per month so its diffrent

per month

10. No it doesn't have a constant rate

11. Yes because it has a constant rate Ex. 1 year=1 birthday, 2 years=2 birthdays the constant is 1

12. You think of it but here's an example. You need 1 gallon of gas per 1 mile you travel

Answer:

to know the summation of angles: (n-2)*180

here (n) represent numbers of sides

12)we have 5 sides (n=5)

(5-2)*180=540

x=540-(105+135+92+87)=121

13)we have 8 sides (n=8)

(8-2)*180=1080

x=1080-(116+158+141+124+136+132+129)=144

I hope it will help

Answer:

12/50 - 6/25 The simplest form in 6/25

Hope This Helps!

Answer:

528 cookies

Step-by-step explanation:

3 hours 55 minutes

=3×60+55

=235 and

235-215 ( for preheating minutes)

220

So

20 minutes…=48 cookies

1. ". =48/20 "

220 ". =48/20×220 "

=12/5×220 "

= 528 "

Answer:

well im not sure but i got 220

Step-by-step explanation:

so you convert the 3 hours and 55 minutes into minutes so

3*60=180

180+55=235

235-15=220

(for the preheating part)

220/48=4.583333333

4.583333333*48=(about)220  (actual number is 219.999999984)

so 220 cookies

Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y

Answer:

55 + 14[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis

= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms

= 55 + 14[tex]\sqrt{6}[/tex]

b +cV 6 ÷12a

Step-by-step explanation:

let meknow 8i I am wrong

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

Answer: 16% of men wanted sports cars

Step-by-step explanation:

25% - 9% = 16%

Answer:

I believe its 66, I'm not fully sure

Answer:

A is the best buy.

Step-by-step explanation:

A

All trees 42 dollars.

B

1 foot   6

7 1/2 feet = x

x = 7 1/2 * 6

x = 45

C

First 4 feet = 22

3 1/2 feet * 6 = 21

Total = 43

Answer:

It is A.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

9x2=18

6x3=18

1x18=18

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Answer:

Step-by-step explanation:

30,360

Answer:510

Step-by-step explanation:Can double check internet

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

Answer:

A: x = 20

Step-by-step explanation:

Answer: Its x=40

Step-by-step explanation: multiply 20 by 50 then divide the answer by x i got a 100 so yeee

9514 1404 393

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  60° +60° +∠1 = 180°

  ∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Answer:

A

Step-by-step explanation: : )