Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:
Using the distance formula, we get
Similarly,
Now, the length of the rectangle is and the width of the rectangle is . So, the area of the rectangle is:
Therefore, the area of the rectangle is 20 square units.
The correct answer is C. Side “a” is always longer than side “b”.
Answer:
Rayshawn originally had $30.
Step-by-step explanation:
i) Rayshawn has a certain amount of money. Let us say this amount is $x.
ii) Rayshawn spends $20 which means that he is left with $(x - 20)
iii) it is also given that amount of money left after spending $20 is 
of the original amount, $x, the amount remaining is 
.
iv) from the information given in ii) and iii) we get
$(x - 20) = , Therefore we get 3x - 60 = x , therefore 2x = 60,
Therefore x = $30. Rayshawn originally had $30.
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
<em>Collect like terms: </em>
5x + 1 + ? = 6x + 2
<em>Subtract 5x from both sides:</em>
1 + ? = x + 2
<em>Subtract 1 from both sides:</em>
? = x + 1
You cannot find ? as a number, only in terms of x.
Answer:
the sequence first numbe * 2, +3, *2
so 48 doesnot belong it should be 58
Step-by-step explanation:
