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
umka2103 [35]
2 years ago
7

PLEASE HELP ASAP, PRIORITIZED HELP WOULD BE APPRECIATED

Mathematics
2 answers:
Kazeer [188]2 years ago
8 0
15. Ans: (A)

The general forms of finding all the polar coordinates are:

1) When r >= 0(meaning positive):(r, θ + 2nπ) where, n = integer 
2) When r < 0(meaning negative): (-r, θ + (2n+1)π) where, n = integer 

Since r = +1, -1(ordered pair)
θ(given) = \frac{ \pi }{3}

When r = +1(r>0):(1, \frac{ \pi }{3} + 2nπ)
When r = -1(r<0):(-1, \frac{ \pi }{3}  + (2n+1)π)

Therefore, the correct option is (A) (1, pi divided by 3 + 2nπ) or (-1, pi divided by 3 + (2n + 1)π)

16. Ans: (A)

In polar coordinates,r =  \sqrt{x^2 + y^2}

Since x = 3, y=-3; therefore,
r =  \sqrt{(3)^2 + (-3)^2} = 3 \sqrt{2}

To find the angle,
tanθ = y/x = -3/3 = -1

=> θ = -45°
=> θ = -45°+360° = 315° (when r = 3 \sqrt{2})

If r =  -r = 3 \sqrt{2}, then,
θ = -45° + 180° = 135°

Therefore, the correct option is (A) (3 square root of 2 , 315°), (-3 square root of 2 , 135°)

17. Ans: (A)


(Question-17 missing Image is attached below) The general form of the limacon curve is:
r = b + a cosθ

If b < a, the curve would have inner loop.

As you can see in the image attached(labeled Question-17), the limacon curve graph has the inner loop. Therefore, the correct option is (A) r = 2 + 3 cosθ, since b = 2, and a = 3; and the condition b < a (2 < 3) is met.

18.  Ans: (B)

Let's find out!

1. If we replace θ with -θ, we would get:
r = 4 - 4*cos(-θ )
Since, cos(-θ) = +cosθ, therefore,
r = 4 - 4*cos(θ)
Same as the original, therefore, graph is symmetric to x-axis.

2. If we replace r with -r, we would get:
-r = 4 - 4*cos(θ )
r = -4 + 4*cos(θ)
NOT same as original, therefore, graph is NOT symmetric to its origin.

3. If we replace θ with -θ and r with -r, we would get:
-r = 4 - 4*cos(-θ )
Since, cos(-θ) = +cosθ, therefore,
r = -4 + 4*cos(θ)
NOT same as original, therefore, graph is NOT symmetric to y-axis.

Ans: The graph is symmetric to: x-axis only!

19. Ans: \frac{x^2}{588} + \frac{y^2}{3364} = 1

Explanation:
As the question suggests that it is a horizontal ellipse, therefore, the equation for the horizontal ellipse is:
\frac{x^2}{a^2} +  \frac{y^2}{b^2} =1 -- (A)

Since,
x = 21ft,
y = 29ft,
b = 58ft,
a^2 = ? 

Plug-in the values in equation (A),
(A)=> \frac{441}{a^2} +  \frac{841}{3364} = 1

=> a^2 = 588

Therefore, the equation becomes,Ans: \frac{x^2}{588} +  \frac{y^2}{3364} = 1

20. Ans: x-axis only

Let's find out!

1. If we replace θ with -θ, we would get:
r = 4*cos(-5θ )
Since, cos(-θ) = +cosθ, therefore,
r = +4*cos(5θ) = Same as original

Therefore, graph is symmetric to x-axis.

2. If we replace r with -r, we would get:
-r = 4*cos(5θ )
r = -4*cos(5θ) = Not same
NOT same as original, therefore, graph is NOT symmetric to its origin.

3. If we replace θ with -θ and r with -r, we would get:
-r = 4*cos(-5θ )
Since, cos(-θ) = +cosθ, therefore,
r = -4*cos(5θ) = Not Same
NOT same as original, therefore, graph is NOT symmetric to y-axis.

Ans: The graph is symmetric to: x-axis only!

Ad libitum [116K]2 years ago
6 0
Hello,
Please, see the attached files.
Thanks.

You might be interested in
Select the pair of functions representing f(x) and g(x) if f(g(x)) =18x+1.
topjm [15]
F(g(x))= 3(6x+2)-5=18x+6-5=18x+1,
so correct answer is the last one
5 0
3 years ago
Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62
Art [367]

Answer:

0.26, 0.62, 2.06, 2.6, 6.2

6 0
2 years ago
Read 2 more answers
The sum of mike and Jordan’s age is 51. The difference in their ages is 17. If mike is older, what are the two men’s ages?
iogann1982 [59]

Answer:

Step-by-step explanation:

You can make equations.

M+J=51

M-J=17

Subtracting first equation from second equation:

2J=34

J=17 Jordan is 17

Therefore, Mike, is 34.

4 0
3 years ago
Which expressions represent rational numbers? select all the apply. startroot 100 endroot startroot 100 endroot 13.5 startroot 8
zlopas [31]

The expressions are irrational 1/3 + √216 and √64+ √353 and the expressions √100 × √100, 13.5 + √81, √9 + √729, and 1/5 + 2.5 are rational number.

<h3>What is a rational number?</h3>

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

1.  √100 × √100

→ √100 × √100

→ 10 × 10 = 100

This is a rational number.

2.  13.5 + √81

→ 13.5 + √81

→ 13.5 + 9 = 22.5

This is a rational number.

3.  √9 + √729

→ √9 + √729

→ 3 + 27 = 30

This is a rational number.

4.  √64+ √353

→ √64 + √353

→ 8 + √353

This is an irrational number.

5.  1/3 + √216

→ 1/3 + √216

→ 1/3 + √216

This is an irrational number.

6.  1/5 + 2.5

→ 1/5 + 2.5

→ 0.2 + 2.5 = 2.7

This is a rational number.

More about the rational number link is given below.

brainly.com/question/9466779

7 0
2 years ago
Can someone help me with number 4?
Rashid [163]
The US: 300m World: 9b Most accurate: B

300m•20=6b population

B is the most accurate
4 0
3 years ago
Other questions:
  • What number is the same as 1 ten + 18 ones
    15·1 answer
  • 30p question
    9·2 answers
  • Four times the sum of a number and 3 is 5 times that number
    15·1 answer
  • Please help.. surface area of cylinder
    9·1 answer
  • In ³_/13, the 13 is called the:<br>radical sign<br>radicand<br>radical<br>index​
    10·2 answers
  • What equation is perpendicular to 4y=3x-8 and passes through (-12,7)
    15·1 answer
  • Find the derivative of the given function at the indicated point.
    14·2 answers
  • If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
    6·1 answer
  • Jason found the measure of angle A
    11·1 answer
  • Bill owed his brother $21.50, but was able to pay him back $18.75. How much does Bill owe his brother now?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!