Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
Answer:
x =2
SK = 21
KY = 13
SY = 34
Step-by-step explanation:
we can see from the picture the following:
SK + KY = SY equation 1
SK=13x-5 equation 2
KY = 2x+9 equation 3
SY = 36-x equation 4
using equation 2, equation 3 and equation 4 in equation 1 we have:
13x - 5 + 2x + 9 = 36-x
15x +4 = 36 - x
15x +x = 36-4
16x = 32
x = 32/16
x= 2
using x as 2 we evaluate it in equation 2, equation 3 and equation 4:
SK=13(2)-5 = 21
KY= 2(2) +9 = 13
SY = 36-2 = 34
Answer:
Neither i think
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Answer:
30 square feet.
Step-by-step explanation:
We have to find the main area of the rectangle to determine the changes.
We know, Area of a rectangle = Length × Width
Given,
Length = 12 feet
Width = 5 feet
Therefore, the area of the rectangle = (12 × 5) Square feet.
The area of the rectangle = 60 square feet.
Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.
If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.
The new area of that rectangle = (15 × 6) square feet = 90 square feet.
The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.
