Given Information:
Point 1 = (8, −3)
Point 2 = (4, −7)
Required Information:
Distance between points = d = ?
Answer:
Distance between points = d = √32 = 5.657
Step-by-step explanation:
We are given two points,
(x₁, y₁) = (8, −3)
(x₂, y₂) = (4, −7)
We are asked to find the distance between these two points.
The distance is given by

Substitute the given coordinates into above equation

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.
The correct answers are:1) sin(x) =
2) tan(x) =
Explanation:Given:

Step 1:
Since, according to the Trigonometric identity:

-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):

Step 3:
Take square-root on both sides:

sin(x) =

Now to find the tan(x), we would use the following formula:
tan(x) =

--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =

Hence tan(x) =
Answer:
(9 + r)/6
Step-by-step explanation:
Alright...so the coordinates of an ordered pair have opposite signs [one sign is positive while the other is negative] so we could have an example of (-x,+y) or (+x,-y) ...that means out of the 4 quadrants these points could be in the 2nd quadrant or the 4th quadrant or corners of the graph
Answer:
B. 48
Step-by-step explanation:
Multiply all the numbers of choices together.
trim levels: 3
colors: 4
interior: 4
number of combinations = 3 * 4 * 4 = 48