The sequence of transformation will be;
Rotate 120 degrees Counterclockwise around B, then Translate B to B' and reflect over segment BA.
<h3>How to Identify the Transformation?</h3>
We want to find the transformation that maps Quadrilateral ABCD onto Quadrilateral A'B'C'D'.
Looking at the given image, the sequence of transformation will be;
Rotate 120 degrees Counterclockwise around B, then Translate B to B' and reflect over segment BA.
Read more about Transformations at; brainly.com/question/4289712
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We are given the speed of the shuttle as:
speed = 28,000 miles / hour
We know that:
1 mile = 5280 ft
24 hour = 1 day
Therefore by conversion:
speed = (28,000 miles / hr) * (5280 ft / 1 mile) * (24 hr
/ day)
speed = 3,548,160,000 ft / day
In 2 significant figures:
<span>speed = 3.5 x 10^9 ft / day</span>
Answer:
- sin(θ) = (-2√13)/13
- cos(θ) = (3√13)/13
- tan(θ) = -2/3
- sec(θ) = (√13)/3
- csc(θ) = (-√13)/2
- cot(θ) = -3/2
Step-by-step explanation:
The distance of the point from the origin is ...
r = √(3² +(-2)²) = √13
We know that ...
x = r·cos(θ) ⇒ cos(θ) = x/r = 3/√13 = (3√13)/13
y = r·sin(θ) ⇒ sin(θ) = y/r = -2/√13 = (-2√13)/13
tan(θ) = sin(θ)/cos(θ) = -2/3
sec(θ) = 1/cos(θ) = (√13)/3
csc(θ) = 1/sin(θ) = (-√13)/2
cot(θ) = 1/tan(θ) = -3/2
Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
