Answer:
Area = 20 units²
Step-by-step explanation:
<em>Let A(-8,-2), B(-3,-2), C(-3,-6) and D(-8,-6) so that the rectangle becomes ABCD.</em>
=> <u><em>Since it's a rectangle it will have two opposite sides equal.</em></u>
<em>So, let's find the length of any two sides (as length and width) by Distance Formula.</em>
Distance Formula = 
<u><em>Side AB:</em></u>
|AB| = 
|AB| = 
|AB| = 5
<u><em>Side BC:</em></u>
|BC| = 
|BC| = 
|BC| = 4
<u><em>Now, Area:</em></u>
Area of the rectangle = Length * Width
Area = 4 * 5
Area = 20 units²
Answer:
Z is less than or equal to 6
Step-by-step explanation:
Let the numbers be x and y
x + y = 100
-
x - y = 26
________
0x + 2y = 74
2y = 74
y = 74/2 = 37
y is actually the less number = 37. The second equation tells y is lesser.
The problem seems to be lacking a question. But looking for the same problem from another source, we're looking for the new mode after adding the 6 numbers into the data set.
Mode, in its most basic definition, is the number or data that is most repeated in a data set. For example, in {1, 1, 1, 2, 2, 3}, the most repeated number is 1. Hence, the mode is 1.
Now, going back to Lucia's problem. Prior to adding the 6 numbers, the mode of the set of 87 numbers is already 31. That means 31 is the most repeated number in the set. Checking the numbers that were added, since another count for 31 is to be added, even if the number of 23, 26, 28, and 40 are increased by 1. 31 will still be the most repeated number in the set. Hence, the mode is still 31.
Answer: 31
Answer:
4
Step-by-step explanation:
12x>48 so divide 48 by 12 to solve for x so x is 4
