Answer:
4 boxes bc they're 12 in a dozen
Answer
W=7
Explanation:
The formula for the perimeter for a rectangle is P = 2L + 2W
The formula for the area of a rectangle is A = LW
where L = length and W = width
P = 22 and A = 28
22 = 2L + 2W
28 = LW
Rewriting the 2nd equation L = 28/W
Substituting this into the first equation
22=2(28/W) + 2W
Reworking the equation to eliminate the denominator
22W = 2(28) + 2W2
22W = 56 + 2W2
and
2W2 - 22W + 56 = 0
Dividing by 2
W2 - 11W + 28 = 0
(W-7)(W-4)
Set each factor equal to 0 and solve each for 0
W = 4, W = 7
then W = 4
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Answer:
56
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₆ = 17 and a₁₃ = 38, then
a₁ + 5d = 17 → (1)
a₁ + 12d = 38 → (2)
Subtract (1) from (2) term by term to eliminate a₁
7d = 21 ( divide both sides by 7 )
d = 3
Substitute d = 3 into (1) and evaluate for a₁
a₁ + 5(3) = 17
a₁ + 15 = 17 ( subtract 15 from both sides )
a₁ = 2
Thus
= 2 + (18 × 3) = 2 + 54 = 56
y = -x² - 2x + 3
y - 3 = -x² - 2x + 3 - 3
y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
y - 4 = -(x²) - (2x) - (1)
y - 4 = -(x² + 2x + 1)
y - 4 = -(x² + x + x + 1)
y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
y - 4 = -(x(x + 1) + 1(x + 1))
y - 4 = -(x + 1)(x + 1)
y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4
