shape
Visually it doesn't make sense for an angle to be negative. However we often measure angles off of some axis, such as the x-axis, and positive angles go around counter-clockwise, while negative angles go around clockwise. Outside of the context of a Cartesian Coordinate system (x-y plane), negative angles don't generally make sense.
The 4 basic arithmetic operations are addition, multiplication, division, and subtraction. subtraction is the inverse (opposite) of addition the same way around and the same concept as division and multiplication.
True.
3+5 = 8 = 5+3 commutative is just switching the numbers around and the answers stay the same.
The main way that a graph can be defined as a function is if it passes the vertical line test; this means that each individual x must correspond to one specific value of y. In the situation you mentioned, we don't know if the graph in question really is a function, because we only see the point at y; we don't know if the graph loops around on itself and fails the vertical line test at any other point.
shape
Answer: Shape Source: Apex Algebra 2 Course
Apparently, Decarte (the guy who discovered it) was lazy, and decided to just lay in bed when he woke up. He ended up watching a fly walk around his ceiling. He noticed its movement was in accordance with two axis, the x and y axis. He had a eureka moment, and got out of bed and started writing the Appendix on Geometry, his book about the coordinate plane.
A rotation turns a shape through an angle around a fixed point usually on the Cartesian plane
Visually it doesn't make sense for an angle to be negative. However we often measure angles off of some axis, such as the x-axis, and positive angles go around counter-clockwise, while negative angles go around clockwise. Outside of the context of a Cartesian Coordinate system (x-y plane), negative angles don't generally make sense.
( 45, 67 ) The quadrants of a Cartesian plane are numbered starting in the top-right, and moving around the origin in a counter-clockwise fashion. This means that all of the coordinates in the first quadrant have a positive x value, and a positive y value. So, any pair of positive numbers will guarantee a coordinate in the first quadrant.
They are the projections, onto the x and y [Cartesian] axes, of a point whose polar coordinates are (R, theta). It's a common Trig way to express a point when a radius is rotated around a given angle. For example, where exactly would the edge of a two foot gate lie if the gate opened 30 degrees? R is two feet. Two times cosine 30 is the x coordinate and two times sine 30 is the y coordinate.
Other way around (X,Y)
Not quite. Instead of being described in Cartesian coordinates such as X, Y, and Z, celestial objects are described in an angular coordinate system sometimes called "rho, theta". These are letters of the Greek alphabet often used to measure angles.We still use three coordinates representing the number of degrees around the ecliptic a celestial object is, and the number of degrees north or south of the ecliptic plane. The third coordinate is a distance. These are similar to the bearing, elevation and range coordinates that you might use in gunnery.
Looking at a unit circle, cosine is the horizontal coordinate. Pi radians is halfway around the circle (180°), so the coordinate is (-1,0). Cosine(pi) = -1
Count the squares around the rectangle... Simple as that!
translation of graphs , try that :)