Consider a circle whose equation is

Which statements are true? Select three options.

(A) The radius of this circle is the same as the radius of the circle whose equation is

(B) The standard form of the equation is

(C) The center of the circle lies on the y-axis.

(D) The radius of the circle is 3 units.

(E) The center of the circle lies on the x-axis.

A, D, E

Step-by-step explanation:

x² + y² - 2x - 8 = 0

Centre is (0,1)

0² + 1² - r² = -8

r² = 9

r = 3

Completed square form:

(x-1)² + y² = 3²

(x-1)² + y² = 9

The answer to your question is below

Step-by-step explanation:

Data

                  x² + y² - 2x - 8 = 0

- Find the radius and the center

                  x² - 2x      + y²         = 8

                  x² - 2x + 1 + y²         = 8 + 1

                  (x - 1)² + y²               = 9

- Center = (1, 0)   Radius = 3

a) True, both circles have the same radius (3)

b) False, the standard equation is   (x - 1)² + y² = 9

c) False, the center of the circle lies on the x-axis

d) True, the radius of the circle is 3 units

e) True, the center of the circle lies on the x-axis.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.