c8ritiebeFhAngala
c8ritiebeFhAngala c8ritiebeFhAngala
  • 22-05-2016
  • Mathematics
contestada

The graph of the equation x2 + y2 + 8x − 10y − 40 = 0 is which of the following conic sections?



ellipse

hyperbola

parabola

circle

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 22-05-2016
in form
ax^2+by^2+cx+dy+e=0
to determine the shape
when a=c and b=d, you have a circle

if you do b^2-4ac
if:
1. the result is GREATER than zero: hyperbola
2. result is EQUAL to zero: parabola
3. result is LESS than zero: elipse




x^2+y^2+8x-10y-40
a is not equal c so nt circle
a=1
b=1
c=8
1^2-4(1)(8)
we can see this is less than 0
ellipse
Answer Link

Otras preguntas

What type of geography studies all of the natural occurrences on the planet
Ricardo is factoring the polynomial, which has four terms. 5x3 + 20x2 + 2x + 8 5x2(x + 4) + 2(x + 4) Which is the completely factored form of his polynomial?
Use deference in a sentence?
What happened during the Vietnamese election in 1956?
Read the line below from Chapter 8 and answer the question. ''He felt like a drunken giant walking with the limbs of a mosquito.'' What fact would you select to
What was the product most exported by Costa Rica in 1981-1990? to. cocoa c. wood b. banana d. sugar
how does hydroelectric dam impact the enviroment?​
Without using a protractor to measure exactly, choose the BEST possible measurement of the angle above. A. 90° B. 45° C. 85° D. 160°
how does hydroelectric dam impact the enviroment?​
What is the value of a? A)25 B)20 C)10 D)15