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
Lady bird [3.3K]
4 years ago
7

The cartesian coordinates of a point are given. (a) (2, −2) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0

≤ θ < 2π. (r, θ) = (ii) find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = (b) (−1, 3 ) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =
Mathematics
1 answer:
strojnjashka [21]4 years ago
5 0
We know that
the relationship between the 2-dimensional polar and Cartesian coordinates is

r = √(x² + y²)

Θ = tan⁻¹ (y/x)
so

Part a) <span>(2, −2)---------> this point belong to the IV quadrant
</span>r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°

the answer part A) is 
(r,Θ)=(√8,315°)


Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°

the answer part B) is 
(r,Θ)=(√10,108.43°)

You might be interested in
4. If f(x) = 4x + 1 and g(x) = 2x2, what is the value of g(f(-8))?
ASHA 777 [7]

Answer:

A. 1922

Step-by-step explanation:

f(x) = 4x + 1 and g(x) = 2x^2

First find f (-8)

f(-8) = 4(-8)  + 1 = -32+1 = -31

Then find g(-31)

g(-31) = 2 (-31)^2 =1922

3 0
3 years ago
PICTURE BELOW PLZ HELP
djyliett [7]
Area of the triangle: 1/2(4) *6= 12 

150- 12= 138
138/6= 23
x=23 
8 0
3 years ago
Round 862 liters<br> to the nearest 10<br> liters.
Maksim231197 [3]
The answer is 860 liters. You round down to 860 because it’s closer than 870.
5 0
2 years ago
What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)
White raven [17]
The sum of the polynomials (8x²-9y²-4x)+(x²-3y²<span>-7x) is:

 1. You must add the terms whose variables and exponents are the same. 
 2. Let's rewrite the polynomials:
</span>
 (8x²-9y²-4x)+(x²-3y²-7x)
 8x²-9y²-4x+x²-3y²-7x
 (8+1)x²+(-4-7)x+(-9-3)y²

 3. Therefore, the result is:

 9x²-11x-12y²

 3. <span>What is the sum of the polynomials?

 The answer is: </span>9x²-11x-12y²
3 0
3 years ago
What is 100 + 100 I don’t know the answer
Digiron [165]

Answer:200

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Other questions:
  • 15,600 at 3% compounded semiannually for 3 years (semiannually = 2 per year)
    15·1 answer
  • What is equivalent expression of 6x(5+n)
    5·1 answer
  • A pole that is 2.8m tall casts a shadow that is 1.23m long. At the same time, a nearby building casts a shadow that is 37.5m lon
    7·1 answer
  • Which is not true about the graph of f (x) = |2x - 1|?
    5·1 answer
  • You have a field 250 feet wide and 325 feet long planted in strawberries. How many acres of strawberries are in this field?
    5·1 answer
  • Ax-c=2x+5 solve for x
    10·1 answer
  • A skydiver jumped out of a plane descended 0.8 miles in 2.5 minutes. What is the skydiver average change of altitude per minute?
    13·2 answers
  • A ____ is when a parent function experiences either movement or alteration.
    13·1 answer
  • An isosceles triangle has an angle that measures 90°. which other angles could be in that isosceles triangle? choose all that ap
    14·1 answer
  • Use the pattern below. Each figure is made up by squares that are 1 unit by 1 unit.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!