The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
<h3>Translation of shapes in the Cartesian plane</h3>
Form the task content;
- It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.
The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
Read more on translation in the Cartesian plane;
brainly.com/question/5471952
Answer:
Step-by-step explanation:
Given
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
Next, multiply both sides of the equation by this LCM (12)
Answer:
(x+10)(x+1)( x-3) ( x-3)
Step-by-step explanation:
root of 3 with multiplicity 2
( x-3) ^2 or ( x-3) ( x-3)
root of -10
(x- -10) is (x+10)
root of -1
(x - -1) is (x+1)
( x-3) ^2 (x+10)(x+1)
Answer:
48%
Step-by-step explanation:
We have 3 people and 5 floors
We can't have two or more people leaving in the same floor.
So, the first person to leave has 5 possibilities (all 5 floors)
Then, the second person will have only 4 possibilities, as this person can't leave in the same floor as the first one.
Lastly, the third person will have only 3 options (the 3 remaining floors that weren't selected).
The total number of possible choices, without restrictions, is 5 possibilities for each person, so 5*5*5 = 125 combinations
The combinations we want is 5*4*3 = 60 combinations
So the probability of all people choosing different floors is 60/125 = 0.48 = 48%
