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serenity spa charges $55 for a one-hour massage. they charge $0.75 for each additional minute over an hour. if x represents the number of minutes over one hour, which of the following equations represents the cost of a massage?
a. y = -0.75x + 55
b. y = 0.75x + 55.75
c. y = 55x + 0.75
d. y = 0.75x + 55

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb