Answer:
1 <u> 5 </u> <u>10 </u> <u>10</u> <u>5</u> 1 Row 5
1 <u>6</u> <u>15</u> <u>20</u> <u>15</u> <u>6</u> 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 <u>2</u> <u>1 </u> Row 2
1 3 <u>3</u> 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 <u>3</u><u> </u> <u>3</u> 1 Row 3
1 4 <u>6</u> 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = <u>1</u> _ _ _ _ _ <u>1</u>
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 <u>10</u> <u> 10 </u> 5 1 Row 5
1 6 15 <u>20</u> 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
By adding 74,68,87,92,96,47,26,87 which gives you 577 and divide by 8 equals 72.1 hope that helps
The length of the ladder is 25 feet.
<u>Explanation:</u>
Height of the House, h = 24 feet
Distance between the house and the ladder, b = 7 feet
length of the ladder, x = ?
The house makes 90° with the base of the ladder.
Using pythagoras theorm,
x² = h² + b²
x² = (24)² + (7)²
x = √625
x = 25
Therefore, the length of the ladder is 25 feet.
Answer:
-6/-2<-2x/-2
divide both sides by-2 to remain with the x variable on one side
I hope this helps
Answer:
21/5 or 4 1/5
Step-by-step explanation:
