Answer:
Step-by-step explanation:
✔️Finding h using trigonometric ratio:
Reference angle = 60°
Opposite = h
Adjacent = 3
Thus:
(tan 60 = √3)
Multiply both sides by 3
✔️Finding c using trigonometric ratio:
Reference angle = 45°
Hypotenuse = 8
Adjacent = c
Thus:
(cos 45 = √2/2)
Multiply both sides by 8
Answer:
1. Given the equation: y =6x-18 ......[1]
The intercepts of a line are the points where the line intercepts or crosses the horizontal and vertical axes.
(A)
Horizontal intercept(x) states that the point where the line crosses the x-axis and at this point y=0
Put y=0 in equation [1]
or
Ordered pair of horizontal intercept(x) = (3,0)
(B)
Vertical intercept(y) states that the point where the line crosses the y-axis and at this point x=0.
Put x=0 in equation [1]
or
Ordered pair of vertical intercept(y) = (0,-18)
You can also see the graph of the function y =6x-18 as shown in Figure-1.
2.
Graph the equation y+2x =4
to find the horizontal intercept and vertical intercept we follow the same process as done in 1
(A)
Horizontal intercept (x) = 2
Ordered pair = (2,0)
(B)
Vertical intercept (y) = 4
Ordered pair = (0,4)
Also, you can see these in the graph as shown in the Figure-2
3.
Given: The slope(m) of a line is
Two lines are parallel if their slopes are equal and they have different y - intercepts.
(A).
The slope of a line parallel to it is,
(B)
The slope of the original line is .
A line perpendicular to another line has a slope that is the negative reciprocal of the slope of the other line.
Therefore, slope of a line perpendicular to it is;
4.
The graph of the equation y =4x+5 as shown in figure 3
The x-intercept of this line is = -1.25
And the y-intercept of this line is y =5.
5.
Graph of the equation y = -3 represents the line as shown in figure 4.
6.
Solve the equation:
6y-18x = -18
6y = 18x-18
Divide by 6 to both sides of an equation ; we get
y = 3x-3 or
y = 3(x-1)
