15. Find all polar coordinates of point P where P= (1, -pi/6). (5 points)

Answer:

1. 50%

2. 400

Answer:

1054

Step-by-step explanation:

1000+50+4

Answer:

40 sq units

Step-by-step explanation:

[tex]5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}[/tex]

Slope of [tex]L_2[/tex] is [tex]m_2[/tex]

[tex]m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2[/tex]

[tex]L_2[/tex] passes through point [tex](8,6)[/tex]

[tex]y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10[/tex]

Point at x axis where [tex]L_2[/tex] intersects is

[tex]0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5[/tex]

Point [tex]A[/tex] of the triangle will be [tex](5,0)[/tex]

[tex]L_2[/tex] intersects line [tex]x=-3[/tex]. The point is

[tex]y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16[/tex]

The points of the triangle are [tex]A(5,0), O(0,0), B(-3,-16)[/tex]

Area of triangle is given by

[tex]A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}[/tex]

The area of the triangle is 40 sq units.

Answer:

ye

Step-by-step explanation:

Answer:s

Step-by-step explanation:

Answer:

2 7/20

Step-by-step explanation:

Answer:A

Step-by-step explanation:

trust

Answer:

B. is your answer

Step-by-step explanation:

First you multiply both sides by "x" and you get

12x - 4 = 3x

now add 4 to both sides and you get

12x = 3x + 4

now subtract "3x" from both sides and you get

9x = 4

divide both sides by 9 and you get

x = 4/9

Answer:

It is same as the length of YX =8 inches so the length of VW=8 inches

Answer:

210

Step-by-step explanation:

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

Answer:

3 hours

step by step explanation:

x + (10 x 5) = 80

Answer:

she worked 3 hours on sunday .Equation: 10 multiplied by x

Step-by-step explanation:

Answer:

11638 I think cause maximum is 310

Answer:

243cm^3

Step-by-step explanation:

By Pythagoras' Theorem,

height of the prism ^2 + 5.4^2 = 7.8^2

height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)

volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)

This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

-16

Step-by-step explanation:

-17+25+-6-18

you just basically combined -17,-6 and -18

so -41+25

= -16

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

Answer:

{([tex]\frac{6}{a}[/tex],12)}

Step-by-step explanation:

[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]

[tex]5ax = 30[/tex]

[tex]x = \frac{6}{a}[/tex]

[tex]a(\frac{6}{a}) + y = 18[/tex]

6 + y =18→y=12

[tex]4a(\frac{6}{a}) - 12 = 12[/tex]

6 - 12 = 12 → 12 = 12 true  x=[tex]\frac{6}{a}[/tex]  y=12

Answer:

[tex]\%Change = 8.8\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 51\ cents[/tex]

[tex]Final = 55.5\ cents[/tex]

Required

Determine the percentage change

Percentage change is calculated as;

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]

[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]

[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]

[tex]\%Change = \frac{450\%}{51}[/tex]

[tex]\%Change = 8.8\%[/tex]

Hence, the percentage change is approximately 8.8%

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

rationalize the denominator of 1/√3

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]

HOPE IT HELPS YOU..

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

Answer:

9

Step-by-step explanation:

34 - 16 = 18

18 ÷ 2 = 9

you're welcome! I'm a 6th grader btw!

Answer:

9

Step-by-step explanation:

34-2x=16

-2x=16-34

-2x=-18

2x=18

X=18/2

X=9

So the answer is 9.

Answer: $468.00

Step-by-step explanation:

Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

Answer:

1. (4x-10)/2

   4x/2 - 10/2

    2x - 5

2. (1-50x)/-2

   1/-2 -50x/-2

   25x - 1/2

3. 5(x + 10)/25

   (5x + 50)/25

   5x/25 + 50/25

   1/5 x + 2

4.(-0.2x + 5)/2​

   -0.2x/2 + 5/2

   -0.1x + 2.5

The re- representation is

1. (4x-10)/2

2. (1-50x)/-2

3. 5(x + 10)/25

4.(-0.2x + 5)/2​

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

1. (4x-10)/2

= 4x/2 - 10/2

= 2x - 5

2. (1-50x)/-2

  1/-2 -50x/-2

  25x - 1/2

3. 5(x + 10)/25

  (5x + 50)/25

  5x/25 + 50/25

  1/5 x + 2

4.(-0.2x + 5)/2​

  -0.2x/2 + 5/2

  -0.1x + 2.5

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

A and C r the answers