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
Lana71 [14]
3 years ago
11

25x^2+9y^2+72y-81=0. Find the standard form of the equation by completing the square. Then identify and graph each conic.

Mathematics
1 answer:
olasank [31]3 years ago
8 0
          25x² + 9y² + 72y - 81 = 0
                   25x² + 9y² + 72y - 81 + 81 = 0 + 81
                                   25x² + 9y² + 72y = 81
                           25x² + 9(y² + 8y + 16) = 81 + 9(16)
                   25x² + 9(y² + 4y + 4y + 16) = 81 + 144
           25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
                  25x² + 9(y(y + 4) + 4(y + 4)) = 225
                            25x² + 9(y + 4)(y + 4) = 225
                                     <u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
                                     225         225       225
                                         <u> x²</u> + <u>9(y + 4)²</u> = 1
                                         25        25

The conic section is an ellipse.
You might be interested in
7,652x5 please regroup I don’t understand :(
scoundrel [369]

Answer:

38260

Step-by-step explanation:

ur welcome

3 0
3 years ago
Read 2 more answers
Does anyone know what the 5√2 (simplify radicals)?
maks197457 [2]

Answer:

  5√2 is as simple as it gets

  5√2 ≈ 7.071068

Step-by-step explanation:

One simplifies radical expressions by removing from under the radical any squares that might be there. 2 is a prime number, so has no square factors. The simplest form of this radical expression is the one given:

  5√2

Your calculator can tell you the value of this irrational number is about ...

  5√2 ≈ 7.071068

8 0
4 years ago
Find the domain of the function. (enter your answer using interval notation.) f(x) = 3x3 − 1 x2 + 2x − 15
Neporo4naja [7]

Hello!

A cubic function is in the form of f(x)=ax^{3}+bx^{2}+cx+d.

All cubic functions have a domain of all real numbers, the range also has a range of all real numbers.

Interval notation is used for representing a function/interval as a pair of numbers. Parentheses and brackets are used to show if the endpoints of a given function/interval are included or excluded. Brackets allow the endpoints to be included while parentheses exclude the endpoint.

Our first instinct would be that the domain is written as [-∞, ∞], but that is incorrect. Infinity is not a number, but it is a concept. This means that they are excluded from the domain.

Therefore, the domain of the function f(x) is (-∞, ∞).

6 0
3 years ago
Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue
Mrac [35]
Distance traveled in 35 minute = 2 miles.

So distance traveled in one minute = 2/35 (miles/minute)
                                                             = 0.0572 miles / minute.

So distance traveled in one hour  , we can find by multiplying it from 60.Because in one hour there is 60 minute.

SO distance traveled in one hour = 0.0572 * 60 
                                                          = 3.432 miles / hour.
7 0
3 years ago
A certain substance doubles its volume every minute at 9 AM a small amount is placed in a container ,at 10 AM the container was
Y_Kistochka [10]

Answer:

the container is 1/4 full at 9:58 AM

Step-by-step explanation:

since the volume doubles every minute , the formula for calculating the volume V at any time t is

V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume

thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4  ...

therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain

V=V₀*2^-t

V₀/4 = V₀*2^-t

1/4 = 2^-t

appling logarithms

ln (1/4) = -t* ln 2

t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2

thus t=2 min before 10 AM → 9:58 AM

therefore the container is 1/4 full at 9:58 AM

8 0
3 years ago
Other questions:
  • A psychology class consists of 14 males and 36 females. if the professor selects name from the class list using random sampling,
    9·1 answer
  • The difference of twice a number and 3 is 11
    7·1 answer
  • the area of a rectangle is 56 centimeters. The length is 2 centimeters more than x and the width is 5 Centimeters less than twic
    13·1 answer
  • I need a step by step explanation how to solve for the solutions of this (Not by graphing)
    7·1 answer
  • Name the quadrant in which the point (-4, -3) could be found on the coordinate plane
    12·1 answer
  • Find the inverse function of y=8x.
    11·1 answer
  • Are -2x + 9 = 7 and 2x = 2 equivalent?​
    13·1 answer
  • 1 pts
    13·1 answer
  • Raj draws an obtuse triangle.
    12·1 answer
  • (8x) ³ in simplest radical form
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!