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.
13,986
Step-by-step explanation:
Juss used a calculator, the rest guess
Answer:
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Step-by-step explanation:
To solve this exercise we have to know that the probability is calculated by dividing the number of favorable events by the number of possible events.
f = favorable events
we will count how many numbers between 1 and 50 have the same number in the ones place in the tens place
11 ; 22 ; 33 ; 44
as we can see there are 4 numbers
f = 4
p = possible events
the number of possible events is given by the number of cards in the deck
p = 50
4/50 = 0.08
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
A2+B2=C2
12(2)+B(2)=27.1(2)
24+B=54.2
-24 -24
——————
B=30.2
Answer is 30.2
I hope this helps