Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
Answer:
Correct answer: ∝ = 18.43°
Step-by-step explanation:
Given coordinates represent one vector in x-y plane, let be v.
v = 3i +1j = xi + yj => x = 3 and y = 1
The angle that this vector builds with the positive direction to the x axis will be found using the tangent.
∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°
∝ = 18.43°
God is with you!!!
The slope within two sets of points is calculated using the slope equation 
<h3>What is slope?</h3>
The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:

Hence, the equation of two sets of points is 
Read more about slopes at:
brainly.com/question/1884491
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Answer:
345 km
Step-by-step explanation:
9 divided by 3 = 3
115 x 3 = 345