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Sonja [21]
3 years ago
5

Identify this conic section. x 2 + y 2 = 25 line circle ellipse parabola hyperbola

Mathematics
2 answers:
patriot [66]3 years ago
7 0

Answer:

circle

Step-by-step explanation:

The equation

x² + y² = r²

Represents a circle centred at the origin with radius r

x² + y² = 25 ← is in this form and

is a circle centre (0, 0) with r = 5

lions [1.4K]3 years ago
4 0

ANSWER

circle

EXPLANATION

The given equation is

{x}^{2}  +  {y}^{2}  = 25

To determine the type of conic, we analyze the coefficient and sign of the quadratic terms.

If the coefficient of the quadratic terms are equal and have the same sign,then the conic is a circle.

If the coefficient of the quadratic terms are equal and have opposite signs,then the conic is a hyperbola.

If the coefficient of the quadratic terms are not equal and have the same sign,then the conic is an ellipse.

Since the coefficients are all 1 and the signs are positive, the given conic is a circle.

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How do you factor a²+2a+2 using imaginary numbers?
katovenus [111]

Answer:

26

Step-by-step explanation:

a²+2a+2

4^{2} +2(4)+2

16+8+2

24+2

26

5 0
3 years ago
Starting at time t = 0, the altitude of one helicopter is given by A1 = 600 + 150t, and the altitude of a second helicopter is g
Soloha48 [4]

Answer:

The equation for difference in altitude of the two helicopters is A =  650 - 100t

Step-by-step explanation:

Given;

The altitude of one helicopter is, A1 = 600 + 150t

The altitude of a second helicopter is,  A2 = 1250 + 50t

Their difference in altitude, A at time t, is calculated as

A₂ - A₁  = A = (1250 + 50t) - (600 + 150t)

A₂ - A₁  = A =  1250 + 50t - 600 -150t

A₂ - A₁  = A = 1250 - 600 + 50t - 150t

A₂ - A₁  = A =  650 - 100t

Therefore, the equation for difference in altitude of the two helicopters is A =  650 - 100t

3 0
3 years ago
A man tries to predict the winner of each of twenty football games. Excluding ties, how many different predictions are possible?
ch4aika [34]

Answer:

C) 2(20)

Step-by-step explanation:

In a football game there are 2 teams playing against each other so there are 2 possible winners in a game as either of the 2 teams can win the game. So there are 2 ways to make prediction of winner for a game.

Since, there are 20 football games in total, and predictions of winner per each game are 2, so the possible predictions for 20 games would be 2 x 20

Hence, 2(20)=40 different predictions would be possible for 20 football games.

4 0
3 years ago
Read 2 more answers
5x+5y+5z=-60 4x+5y+6z=-67 x-y+z=-10. Eliminate
alukav5142 [94]
You have to do standard algorithm
6 0
3 years ago
X = –8 –6x + 9y = 12 solve for substitution
dexar [7]

Answer:

x= -8,y= -4

Step-by-step explanation:

Substitute x= -8

-6(-8)+9y=12

simplify

48+9y=12

isolate for y

y= -4

The solutions to the system of equations are:

x= -8 and y= -4

6 0
2 years ago
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