1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
azamat
3 years ago
10

Find the rectangular coordinates of the point that has polar coordinates , 4, −3π/4

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
Hello : 
 x= r cos<span>θ
 y= r sin</span><span>θ
r = 4   and  </span>θ =<span> −3π/4
cos( </span> −3π/4 )  = cos(  3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin(  −3π/4 )  =  -  sin(  3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
 y = - 2 √2

You might be interested in
Pls answer for brainlest and 50 points PLEASE EXPLAIN <br><br> In image
Mumz [18]
Answer: C) 163

Step-by-Step Solution:

In the Right Triangle formed to the extreme right, lets mark the angles as
∠1, ∠2 and ∠3.

Therefore, from the Figure :-

∠1 = 73°
∠2 = 90°

By Angle Sum Property :-

∠3 = 180 - (73 + 90)
∠3 = 180 - 163
=> ∠3 = 17°

The Angle which forms a Linear Pair with ∠3 is the Corresponding Angle of ∠r, and Corresponding Angles are Equal.

Therefore,
=> 180 - ∠3
= 180 - 17
=> 163°

Therefore, the Angle that forms the Linear Pair with ∠3 is 163°

This Angle is Corresponding to ∠r and hence they are Equal ie. ∠r = 163°

Hence, ∠r = 163°
8 0
1 year ago
Read 2 more answers
Can some please help and explain your steps thanks
boyakko [2]
For A you would have to convert from that equation to the slope-intercept form of the equation. To do that, first add 2x to both sides, because you want to have x on the right side of the equation. And that's it! That gives you 4y = 2x + 8. And from that equation you can identify the slope (2) and the y-int (8)

For B, the same thing. Converting to slope-intercept form, just with an extra step. First, you would subtract 1y from both sides to move it to the left of the equal sign, since that's where it needs to be for slope-intercept form. That gives you -1y + 7 = -x. Don't worry about the negatives for now. Next, subtract 7 from both sides to get y by itself on the left (because that's how it is in slope-intercept form) which gives you -1y = -x - 7. Then, because you can't have negative variables, divide both sides by negative 1 (a negative divided by a negative equals a positive), to equal y = x + 7. (I've attached a picture showing my steps if the words are too confusing)

For C, you need to find the slope first, then use the slope to find the y-intercept. So subtract. (I've shown in the picture) that equals -8 over 4 which simplifies to -2. So -2 is the slope! Now to find the y-intercept, plug in an ordered pair from the problem (doesn't matter which one) and the slope to find the y-intercept (b). I'm just going to use (-2, 5). So plug in the y from the pair (5) and the slope (-2) and the x from the pair (-2) into the slope-intercept equation to equal 5 = -2(-2) + b. Since you don't know b (the y-intercept) leave it blank and solve like a one step equation! (steps in the picture). And there you have it, the slope is -2 and the y-int is 1!

For D, it's like C, but you dont have the chart. Use subtraction to find the slope. Change in y over change in x (which means subtract the y values and divide them by the difference in x values). So. You'd do 0 - 3 over -6 - 3 which equals -3 over -9, which simplifies to 1/3. And that's your slope! So to find the y-int just do the same thing you did in the last problem, plug in an ordered pair and the slope into the slope-intercept equation and solve as a one step equation (steps in picture). And there you have it, the slope which is 1/3, and the y-int which is 2.

6 0
3 years ago
Hilary want to fill a mini cake pan with batter to make a mini cake for Philip's party. The cake pan is 4.0 inches long, 9.0 inc
Sophie [7]
The formula to solve for the volume (V) of a rectangular prism is,

                                           V = L x W x H

where L is the length, W is width, and H the height or depth.

Substituting the known dimensions on the equation above,
 
                             V = (4 in) x (9 in) x (2.2 in) = 79.2 in^3

Thus, the volume of the cake pan is 79.2 in^3.



3 0
2 years ago
Find the zeros of polynomial functions and solve polynomials equations.<br> f(x)=2x^3+2x^2-4x
vladimir2022 [97]

f(x)=2x^3+2x^2-4x

The zeros of polynomial functions

2x^3 + 2x^2 - 4x = 0

2x(x^2 + x - 2) = 0

2x(x - 1)(x + 2) = 0

2x = 0; x = 0

x - 1 = 0; x = 1

x + 2 = 0; x = -2

Answer

x = -2 , 0 , 1


4 0
3 years ago
Which of the following equations describes the line shown below? Check all
Setler79 [48]

Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

that apply.

(-4, 4)

(2, 1)

The standard equation of a line is y = mx,+b

m is the slope

b is he y-inttercept

Get the slope

Slope m = y2-y1/x2-x1

Substitute the coordinate

M = 1-4/2-(-4)

M = -3/6

M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

b = 1+1

b=2

Get the equation

Recall y =mx+b

y = -1/2 x + 2

3 0
2 years ago
Other questions:
  • Help!!!!!!!!!!!!!!!!!!!!????
    12·1 answer
  • Another word for "all the way around, arc-lengthwise"...
    15·2 answers
  • Please work this out for me.
    9·1 answer
  • Determine what kind of functions the following graphs are. WILL MARK BRAINLIEST!!
    6·1 answer
  • In a survey of zoom animals, for out of five monkeys preferred very ripe.What is this result as a percent?
    10·2 answers
  • Identify an equation in point-slope form for the line perpendicular to
    11·1 answer
  • Find the measure of FG
    15·1 answer
  • A company is billed $1,850 with a cash discount of 5% offered for payment within ten days. How much could it save?​
    15·2 answers
  • Help anyone please help homie anyone god lord
    10·1 answer
  • The formula V = s exponent 3 can be used to find the volume of a cube. Use the formula to find the volume, V, of a cube-shaped b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!