Simplify
2nd one divide both sides by 5
5x+4y=4
hmm, seems familliar
times it by -1
-5x-4y=-4
same as other one
they are the same line
therefor the solution set is all the points on the line -5x-4y=-4 or y=(-5/4)x+1
solution set is alll points on y=(-5/4)x+1 or 5x+4y=4
Answer:
where are the transformations
Step-by-step explanation:
Answer:
the graph is in the attachment.
the coordinates of the centroid : (2/3,2/3)
Step-by-step explanation:
- y=0 represents x-axis ( you can easily mark it on the graph)
- now draw x=1 line.( It is a line parallel to y axis and passing through the point (1,0) )
- y=2x is a line which passes through origin and has a slope "2"
by using these sketch the region.
I have uploaded the region bounded in the attachment. You may refer it. The region shaded with grey is the required region.
it can be easily identified that the formed region is a triangle
- the coordinates of three vertices of the triangle are
(1,2) , (0,0) , (1,0)
( See the graph. the three intersection points of the lines are the three vertices of the triangle)
- for general FORMULA, let the coordinates of three vertices of a triangle PQR be P(a,b) , Q(c,d) , R(e,f)
- then the coordinates of the centroid( let say , G) of the triangle is given by
G =
- therefore , the exact coordinates of the centroid =
this point is marked as G in the graph uploaded.
To find the circumference (c) use the formula (pi d) in other words 3.14 x diameter
To find the radius to find the diameter: 2R (double the radius)
To find radius 1/2 D (half the diameter)
Answer: height of the tower is 1064 feet
Step-by-step explanation:
We want to determine the height of the tower.
Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.
To determine h, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Therefore,
Tan 85.7 = h/80
h = 80tan 85.7
h = 1064 feet