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

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

ANSWER

circle

EXPLANATION

The given equation is

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.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%