Kaela traced 4 circles, each with a different diameter, on a piece of paper. For each circle, she laid a piece of string along the outline and then measured the length of the string. Her results are shown in the table below. Circle Measurements

Diameter Length

of String

2 in 6.28 in

5 in 15.70 in

8 in 25.12 in

11 in 34.54 in

Kaela wrote an equation, y = kx, to model the relationship between the circumference, y, and the diameter, x, of the circle. Which of the following statements correctly describe what k represents in this equation?

|. k represents the unit rate

||. k represents the radius

|||. k represents the constant of proportionality

. k represents the area

A.

II and III only

B.

I and IV only

C.

I and III only

D.

I, II, and IV only

I need this ASAP

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .