Answer:
-3.00000
Step-by-step explanation:
Slope = -6.000/2.000 = -3.000
x-intercept = -3/3 = -1
y-intercept = -3/1 = -3.00000
earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-3*x-3)=0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y+3x+3 = 0 and calculate its properties
Answer:
The given functions are
The sine function has a standard period of 
by definition. However, this might change if we use a factor as coefficient of the x-varible, but in this case we don't have that.
Therefore, the period of both trigonometric functions is .
Now, the images of each function is the y-variable set values that defines each function.
So, the function has an image defined by the set ![[-3,5]](https://tex.z-dn.net/?f=%5B-3%2C5%5D)
. It's impotant to notice that the range of a standard function is [-1,1], however, in this case, the function was shifted 1 unit up and it was streched by a factor of 4, that's why the standard image changes to .
About the second function , the image set is ![[-2,2]](https://tex.z-dn.net/?f=%5B-2%2C2%5D)
, because the function was streched by a factor of 2.
Additionally, the image attached shows the graph of the given functions.
Answer:
19) 28°
20) 60°
21) 17°
Step-by-step explanation:
19)
Supplementary angles:
(x + 12)º + 140º = 180º
x + 12 + 140 = 180
x = 180 - 140 - 12
x = 28º
20)
Angles at a point:
(- 24 + x)° + 24° + 300° = 360°
- 24 + x + 24 + 300 = 360
x = 360 - 300
x = 60°
21)
Vertically opposite angles:
(1 + 3x)° = 52°
1 + 3x = 52
3x = 52 - 1
3x = 51
x = 17°
