√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65
Given:
The expression: (1 + x)^n
The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.
The following formula is used:
(a + b)^n = nCk * a^(n-k) * b^k
we have (1 +x)^n,
where a = 1
b = x
let n = 4
First term, k = 1
4C1 = 4
first term: 4*(1^(4-1))*x^1
Therefore, the first term is 4x. Do the same for the next three terms.
2nd term: k =2
3rd term: k = 3
4th term: k = 4
<span />
X- the total number of families in Smithville<span>.
(2/3)x - the number of home owning families.
At the same time, </span> the number of home owning families is 480.
(2/3)x=480
x=480*3/2=720.
720 <span>families live in Smithville.</span>
Answer:
-6.1 - (-3.13) = -2.97
Answer:
Denote adding term = a
a = (5/6x) - 4 - (1/2x) - 4
a = (5/6x) - (1/2x)
a = (5/6x) - (3/6x)
a = (2/6x)
a = (1/3x)
*******************************
a = (5/6)x - 4 - (1/2)x - 4
a = (5/6)x - (1/2)x
a = (5/6 - 1/2)x
a = (1/3)x
Hope this helps!
