The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line: 
Slope of 2nd line: 
The slopes are not equal, therefore the lines intersect.
Answer:
=41
Step-by-step explanation:
X = 4 and y =5
6( 
) - 
= 6 (16-5) -25
= 6 (11)-25
= 66 -25
=41
Answer:
0.667
Step-by-step explanation:
3x = 2
3x/3 = 2/3
x = 2/3
0.66666666666666666666666666666666666666666666666.....
Answer: 0.667
