A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices A′(−3, −6) , B′(−3, 3) , C′(6, 3) and D′(6, −6) .Select the phrase from the drop-down menu to correctly describe the translation.
The square was translated
A. 2 units down
B. 10 units down
C. 10 units to the left
D. 2 units to the left
Answers
Solution: The correct option is option A, it means the graph of square was translated 2 units down.
Explanation:
The translation of shape is the process of shifting the shape from one place to another with any other change. There are two types of shifting vertical and horizontal.
If the shape shifted vertically then it will effect only the y-coordinates of the figure. If the shape is shifted units up then all the y-coordinates of shape increased by
units and if the shape is shifted
units down then all the y-coordinates of shape decreased by
units .
If the shape shifted horizontally then it will effect only the x-coordinates of the figure. If the shape is shifted units to the right then all the x-coordinates of shape increased by
units and if the shape is shifted
units to the left then all the x-coordinates of shape decreased by
units .
It is given that the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6,-4).
After translation the vertices of the square are A′(−3, −6) , B′(−3, 3) , C′(6, 3) and D′(6, −6) .
From the above information it is noticed that there is no change in the x-coordinates but y-coordinate is decreased by 2 units. Therefore vertices A′(−3, −6) , B′(−3, 3) , C′(6, 3) and D′(6, −6) .
The y values are changing by being 2 less than the original.
If you subtract 2 from each y value you get the new set of ordered pairs.
It is moving 2 units down
Letter A
Related Questions
What polynomial must be added to x^2-2x+6 so that the sum is 3x^2+7x?
What is the range of these? And what’s the definition of range
It is found that there is a relationship between the weight of an airplane and the maximum speed it can travel. The results were published claiming that a lighter airplane can travel faster. What is the problem with reporting the result this way?
The ratio of red collars to black collars sold at one store is 9 to 10. In one month 30 black collars were sold. Is 57 a reasonable number for the total number of red and black collars sold that month. Explain
Answers
Area = √p(p −a )(p −b )(p −c )
where p is half of perimeter of the triangle and a,b,c are the side lengths.
p = (25 + 25 + 48) / 2
p = 49
Area = √49(49−25)(49−25)(49−48)
Area = 168
Answers
Step-by-step explanation:
Hello there!
Multiply the probabilitites of the two outcomes:
7/16 x 1/4=7/64
There you have it.
Have a great day!
:)
{2, 4, 6, 8...} ...} f(1) = 2 and f(n) = f(n - 1) + 2 for n >
{12, 14, 16, 18...} f(1) = 12 and f(n) = f(n - 1) + 2 for n > 1
Answers
Given:
To find:
The sequence and recursive expression to the given explicit expression.
Solution:
We have,
For n=1,
The value of f(1) is 12.
Similarly,
For n=2,
For n=3,
For n=4,
The required sequence is {12,14,16,18,...}.
The recursive expression of an AP is
where, d is common difference.
Here d=2,
Therefore, the recursive expression is .
Answers
=> 82 - 50 = 32
Now how many percent is 32 out of 50?
=> 32 / 50 = 0.64
=> 0.64 * 100% = 64%
thus 64% added or increased in the previous number.
a. 8120
b. 830
c. 232
d. 230
e. 226
Answers
Answer:
920
Step-by-step explanation:
230+230+230+230=920
Answers
Answer:
Given speed of train = 108 km/hour ⇒ Speed of train = 108 × 5/18 = 30 m/sec Since, we know that Distance = Speed × time ⇒ Distance = 30 × 32 = 960 m ∴ Length of train is 960 m
Step-by-step explanation:
Final answer:
The length of the train is calculated by using the formula 'distance = speed * time'. After converting the speed from km/h to m/s, we find that the length of the train is 960 meters.
Explanation:
To answer your question, we'll need to use the concept of speed in physics. Speed is essentially distance covered per unit of time. Since we are given that the train is running at a speed of 108 km/h and it crosses a pole in 32 seconds, we can use these metrics to find the length of the train, as the train length is the distance covered when the train crosses the pole.
First, we need to convert the speed from km/h to m/s, as we need the answer in a standard form. 1 km = 1000 m, and 1 hour = 3600 seconds. So, 108 km/h = 108 * 1000 m/3600 s = 30 m/s.
Next, we use the formula 'speed = distance/time'. Here, we need to find the distance (or the length of the train), so we rearrange that formula to get 'distance = speed * time'. That means, the length of the train = speed of the train * time taken to cross the pole = 30 m/s * 32 s = 960 m.
So, the length of the train is 960 meters.
Learn more about Finding train length here:
#SPJ11