Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.
dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)
dy/dx = -1
So the slope is -1. The equation of the line is y=2-x.
Step-by-step explanation:
let width = w
if width = w, then length = w + 4
Therefore the perimeter is 2w + 2(w+4)
2w + 2(w+4) = 4w + 8
perimeter = 60cm
4w + 8 = 60
<em>-8</em>
4w = 52
<em>divide each side by 4</em>
w = 13
length = w+4
therefore, length = 17
The statements that are true about ΔLNM are:
Hypotenuse = LN
Opposite side to ∠L = NM
Side opposite to ∠N = ML.
<h3>What is a Right Triangle?</h3>
A right triangle has right angle (angle 90) that is opposite to the longest side (hypotenuse).
From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.
Therefore, the true statements about the triangle are:
- Hypotenuse = LN
- Opposite side to ∠L = NM
- Side opposite to ∠N = ML.
Learn more about the right triangle on:
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The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
<h3>Right angle triangle:</h3>
Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
- 160.809554025 + 1.5 = 162.309554025 m
learn more on right angle triangle here; brainly.com/question/13481976
