What is the product of 2(cos(45°) + i sin(45°)) and 5(cos(30°) + i sin(30°))?
Pls help

Step-by-step explanation:

2x + 3 >= 7

2x >= 4

x >= 2

2x + 9 > 11

2x > 2

x > 1

Step-by-step explanation:

When f(x) > 0, the graph is above the x-axis.

Only -2 < x < -1 is above the x-axis. (A)

Answer:

x = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

3x + 2x + 60° = 180°

Step 2: Solve for x

Answer:

Step-by-step explanation:

they both go thur the point (0,-4)  so they both have the same b in the slope intercept from  of  y =mx +b

but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1  , both positive.. :)

The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph, using the point (3, 0) and (0, -4):

y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)

y = (4/3)x - 4

From the table using (0, -4) and (2, -2):

y - (-4) = [(-2-(-4))/(2-0)](x - 0)

y = x - 4

The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.

Find out more on equation at: https://brainly.com/question/2972832

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Given that,

Each person in the family got 1/4 of the cake.

Cake is cut in 8 slices.

To find,

How much of the cake did the person get?

Solution,

To find the cake the person get can be calculated by finding 1/4th of 8 slices. Let the result is x.

x = (1/4) 8

= 2 slices

Hence, the person will get 2 slices.

Answer: a -12t

Step-by-step explanation:

khan Academy trust me I did it

Answer:

32

Step-by-step explanation:

Solve for x:

Apply the value of x to 4x:

I hope this helps!

Answer:  (2) (-8,10]

Step-by-step explanation:

Answer:

(2) (-8, 10]

Step-by-step explanation:

First, note that a bracket (“[“ and “]”) is inclusive and a parentheses ( “(“ and ”)” ) are exclusive.

For -8< x <= 10, -8 is excluded in the interval because x must be GREATER THAN (since -8 isn’t greater than -8) and 10 is inclusive in the interval because x must LESS THAN OR EQUAL TO 10 (since 10 is greater than or equal to 10).

So, using what we know, we put it together into interval notation: (-8, 10]

I hope this helps! :)

Answer:

Is it multiple choice?

Step-by-step explanation:

Answer: ok

Step-by-step explanation:

Answer:

n = 5

Step-by-step explanation:

8n -(5n+6) = 9

8n -5n - 6 = 9

combine like terms

3n - 6 = 9

     +6    +6

3n = 15

divide both sides by 3

n = 5

Hope this helps!!!

Answer:

I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.

Step-by-step explanation:

i hope this helped :))

Answer:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Step-by-step explanation:

The question given is:

Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?

First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]

[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]

So, the polynomial we get is: [tex]4x^2-3x+14[/tex]

Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]

[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]

The difference is 14

So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14

Answer:

283:66 (A)

(Can I get brainliest please)

Answer:

Answer

Aaaaaaaa it had to be at least 20 characters

Answer:

x>5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

4x−15>−2x+15

Step 2: Add 2x to both sides.

4x−15+2x>−2x+15+2x

6x−15>15

Step 3: Add 15 to both sides.

6x−15+15>15+15

6x>30

Step 4: Divide both sides by 6.

Answer:

x>5 have a great day

Step-by-step explanation:

Answer:

hyp=✓5*5+12*12

hyp=✓25+144

hyp=✓169

hyp=13cm

Hence, the length of diagonal bd=ac=13cm

Answer:

Step-by-step explanation:

( 3x+2*4) (12+ 2*4)=

(3x +8)( 12+8)

20(3x+8)

Answer:

I don't know let me know what it is plez

sorry I can't be help now

Answer:

Completing the square is always confusing, but if you keep in mind it's just a way to write  (A + B )^2  so that the problem is in some easier form it makes a bit better sense.  A perfect square has some helpful properties.. anyway..

Step-by-step explanation:

Given: [tex]x^{2}[/tex] - 12x +23 = 0   ( not a perfect square , tough to work with )

take 1/2 of the second term  coefficient  12/2 = 6   and square it

[tex]x^{2}[/tex] - 12x + ([tex]-6)^{2}[/tex] +23 = [tex](-6)^{2}[/tex]

[tex]x^{2}[/tex] -12x + [tex]6^{2}[/tex] +23 = [tex]6^{2}[/tex]

now there is a perfect square :)

(x - 6)^2 =36-23

(x - 6)^2 = 13

take the square root of both side now

x -6 = [tex]\sqrt{13}[/tex]

x = [tex]\sqrt{13}[/tex] +6

sooo  what is supposed to happen in these problems  is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots?   so maybe A is right  :/

We want to solve a quadratic equation by completing squares.

What we need to use is the general relation:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

We will see that the solutions are:

[tex]x = 6 \pm \sqrt{13}[/tex]

We start with the equation:

[tex]x^2 - 12x + 23 = 0\\[/tex]

We can rewrite the middle term as:

[tex]x^2 - 2*6*x + 23 = 0\\[/tex]

Now remember that 6*6  = 36

Then we can add 13 and subtract 13 to get:

[tex]x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0[/tex]

Then the solutions are:

[tex](x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}[/tex]

If you want to learn more, you can read:

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Answer:

it increases by 5 basically if you graph it you will see the increase of the slope by 5 and its 10x,9y

Brainliest answer pls

Answer: -5/3

Step-by-step explanation:

In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

Answer:

2,4,1

Step-by-step explanation:

since mode means the number that occurs most often in the data set. The numbers 1,2, and 4 all occur three times meaning they occur most often

Andrew types faster than Jade

40/7 = 5.7 words per minute (Jade)

35/6 = 5.8 words per minute (Andrew)

May I have brainliest please? :)

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

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Answer:

  (d)  1 mile = 10 blocks

Step-by-step explanation:

The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...

  d² = 8² +15² = 64 +225 = 289

  d = √289 = 17 . . . blocks

The problem tells us this represents 1.7 miles, so the proportion is ...

  blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile

The map scale is 1 mile = 10 blocks.

Answer:

it is 7 inches tall - pythagorean theorem

Step-by-step explanation:

Answer:

30=69

Step-by-step explanation:

Answer:

30= 69

Step-by-step explanation:

30= 69

This much only