For the series:
- 5 + ( - 1 ) + 3 + 7 + 11
common difference between the numbers is 4 and a 1 = -5
The series in sigma notation:
4
∑ ( 4 i - 5 )
i =0
Answer:
yes; 4² + 3² = 5²
Step-by-step explanation:
Pythagorean theorem.
In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.
4² + 3² = 5²
16 + 9 = 25
25 = 25
Answer:
length= 42
width = 7
Step-by-step explanation:
-1 Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).
Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:
20
+
5
=
25
So the second play they get sacked deep and lose 6 yards. So we subtract 6:
25
−
6
=
19
So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:
19
−
20
=
−
1
and this makes sense because we know we advanced 5 and fell back 6
Answer:
The correct answer is the length is 10 feet and width is 2 feet respectively.
Step-by-step explanation:
Let length of the rectangular floor of Louis' basement be l feet and width be
feet respectively.
Area of the basement floor is given to be 500 square feet.
Therefore according to the given problem,
l ×
= 500
⇒
= 100
⇒ l = 10 ; [length cannot be negative]
⇒ b = 2
Thus the length and width be 10 feet and 2 feet respectively.