Answer:
width = 1 1/3 inches
length = 9 2/3 inches
Step-by-step explanation:
let 'w' = width
let '7+2w' = length
P = 2l + 2w
22 = 2w + 2(7+2w)
22 = 2w + 14 + 4w
8 = 6w
w = 4/3 or 1 1/3
substitute 1 1/3, or 4/3, to find length:
l = 7 + 2(4/3)
l = 7 + 8/3 or 9 2/3
The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
Read more about binomial expansion at
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A = b is given to us
Multiply both sides by c to get
a = b
a*c = b*c
The rule to multiply both sides by c is the multiplicative property of equality
Then on the right side, replace c with d. This replacement is possible due to the fact that c = d. This is using the substitution property.
So we go from
a*c = b*c
to this
a*c = b*d
F(x)=2(x+10)=24
2(x+10)=24
divide 2
x+10=12
minus 10
x=2
D
Answer:
20
Step-by-step explanation:
20 x 2 =40
40 is under 58 and the closest to 58
the next 10 is 30 and 30 x 30 is over 58 with 60
