Mathematics, 02.01.2022 04:50, ayoismeisalex

Best Answer Gets Brainliest We know that a 90-degree rotation is (x, y) --> (y, -x), but what would the formula be for a point that isn't (x, y)? (e. g. (-x, y) --> (y, -x)?).

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answered: pr47723

Furthermore, it turns out that rotations by 180^\circ180

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180, degrees or -90^\circ−90

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minus, 90, degrees follow similar patterns:

R_{(0,0),180^\circ}(\tealD{x},\purpleC{y})=(-\tealD{x},-\purpleC{y})R

(0,0),180

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(x,y)=(−x,−y)R, start subscript, left parenthesis, 0, comma, 0, right parenthesis, comma, 180, degrees, end subscript, left parenthesis, start color #01a995, x, end color #01a995, comma, start color #aa87ff, y, end color #aa87ff, right parenthesis, equals, left parenthesis, minus, start color #01a995, x, end color #01a995, comma, minus, start color #aa87ff, y, end color #aa87ff, right parenthesis

R_{(0,0),-90^\circ}(\tealD{x},\purpleC{y})=(\purpleC{y},-\tealD{x})R

(0,0),−90

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(x,y)=(y,−x)R, start subscript, left parenthesis, 0, comma, 0, right parenthesis, comma, minus, 90, degrees, end subscript, left parenthesis, start color #01a995, x, end color #01a995, comma, start color #aa87ff, y, end color #aa87ff, right parenthesis, equals, left parenthesis, start color #aa87ff, y, end color #aa87ff, comma, minus, start color #01a995, x, end color #01a995, right parenthesis

We can use these to rotate any point we want by plugging its coordinates in the appropriate equation.

Step-by-step explanation:

answered: kitttimothy55

Step-by-step explanation:

the same "conversion process" applies.

whatever expression was in place of the old x gets a negative sign and moves into the spot of y.

and whatever expression was in place of the old y moves into the spot of x.

so, in general, we could say

the original is (f(x), g(y)).

and the 90° rotation is then

(f(x), g(y)) -> (g(y), -f(x))

add on : that means, of course, that if the old x was already a negative number, it turns via "--" into a positive number for the new y.

last but not least : we are talking here about a 90° clockwise rotation. right?

because for the counterclockwise rotation it is

(f(x), g(y)) -> (-g(y), f(x))

answered: Guest

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

$\newline{\text{the rate of change is change per unit time}}$ $\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}$ $\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}$ $\newline{\text{that means that the slope of function 1 is 30 per hour}}$ $\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}$ $\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}$ $\bigskip\newline{\text{the y intercept is the y value when x is 0}}$ $\newline{\text{for function 1, the y value when x is 0 is 45}}$ $\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}$ $\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}$ $\bigskip\bigskip\newline{\text{the answers are: }}$ $\newline{\text{ function 2 has a greater rate of change than function 1}}$ $\newline{\text{function 2 has a greater y-intercept than function 1.}}$