Answer:
Domain is where the function is defined. In other words, all valid values of x that allows us to find y.
Range is values of y for the function.
Step-by-step explanation:
Here is the example of function
, so domin is between 0 and positive infinity. x cannot be negative.
The range is from 0 (because that's the lowest value of y) to positive infinity
The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation.:)
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
It would be distributive since you distributed the 5 to x and -2.
5*x = 5x and 5*-2 = -10