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
Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0
And please include the instructions.
2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0
Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0
Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0
Then (x+(1/4))^2 = (1/4)^2
Taking the sqrt of both sides: x+1/4 = plus or minus 1/4
Solving for x: x = -1/4 plus or minus 1/4
Solving for x (continued): x = 0 and x = -1/2
Answer:
The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3
Step-by-step explanation:
To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.
y - y1 = m(x - x1)
y - -4 = 2/3(x - 8)
y + 4 = 2/3(x - 8)
Now to find the slope intercept form, you simply need to solve for y.
y + 4 = 2/3(x - 8)
y + 4 = 2/3x - 16/3
y = 2/3x - 28/3
Answer:
90
Step-by-step explanation:
Answer:
The answer is 103 + h
Step-by-step explanation:
The sum of 103 and h
i.e., 103 + h
Thus, The answer is 103 + h
<u>-TheUnknownScientist</u>
