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
MaRussiya [10]
2 years ago
9

Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7   ⇒   (x + 7)/5 = cos(t)

y = 5 sin(t) + 9   ⇒   (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.

You might be interested in
HElp me find the IQR please
patriot [66]
The interquartile range is 4
8 0
2 years ago
What is the inverse of the function y= x^2-12
aalyn [17]

Answer:

y=\sqrt{x+12}

Step-by-step explanation:

To find the inverse of a function, what I like to do is to switch the places of x and y, and then try to isolate y again like so:

x=y^2-12

x+12=y^2

y=\sqrt{x+12}

Hope this helps!

7 0
3 years ago
Which equation represents the hyperbola in general form?
valina [46]

ANSWER

D.

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

EXPLANATION

The standard equation of the hyperbola is

\frac{ {(y - 2)}^{2} }{4}  -  \frac{ {(x - 2)}^{2} }{9}  = 1

We multiply through by 36 to obtain:

9 {(y - 2)}^{2}  - 4( {x - 2)}^{2}  = 36

We now expand to get,

9( {y}^{2}  - 4y + 4) - 4( {x}^{2}  - 4x + 4) = 36

Expand :

9 {y}^{2}  - 36y + 36  - 4 {x}^{2}  + 16x - 16 = 36

To get the general form, we equate everything to zero to get,

9 {y}^{2}  - 4 {x}^{2}- 36y + 16x - 16 = 0

The correct choice is D.

7 0
3 years ago
35 lbs of apples cost $420. <br> How much would 6 lbs cost?
Ymorist [56]

Answer:

$72

Step-by-step explanation:

one lb costs $12 so just multiply it by 6

3 0
3 years ago
Read 2 more answers
What is the greatest common factors of 60w,34w^2,and 24w^4
andrew11 [14]

Answer: 2w

Step-by-step explanation:

The greatest common factor could also be referred to as the Highest common factor. Now

60w, 34w² and 24w⁴

Now let concert each to its factors

60 = 2 × 2 × 3 × 5 × w

34w² = 2 × 17 × w × w

24w⁴ = 2 × 2 × 2 × 3 × w × w × w × w

Therefore H.C.F or the greatest common factor

G.C.F = 2 × w

= 2w

4 0
3 years ago
Other questions:
  • Sales tax in the state of Florida is 7%. Bob purchased a coat that was marked $350.00. What is the total bill including tax?
    6·1 answer
  • Find the total surface area.<br> Thanks!
    7·2 answers
  • A family is going on a 603-mile car trip. So far they have driven 24% of the distance. Which is the best estimate for the number
    14·1 answer
  • A rectangular parking lot has an area of 125 square meters. The width is 10 meters. What is the length of the parking lot, in me
    10·1 answer
  • Question 1 of 5
    12·1 answer
  • The circumference of a circle can be found using the formula C = 2πr.
    14·1 answer
  • Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 o
    14·1 answer
  • 3. Which of the following equations represents a proportional relationship?
    14·2 answers
  • Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site
    13·1 answer
  • Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. when sharon jumps, megan throws a beac
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!