Which ratio is equivalent to the unit rate 30 miles 1 gallon ? how was the unit rate transformed into the equivalent ratio? a) 3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10. b) 90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3. eliminate c) 6 gallons 180 miles ; by multiplying the numerator and denominator of the unit rate by 2. d) 180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3