Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?
1 answer:
Answer : option C, 5x2 + 32x − 21
In the rectangle, the length = 5x - 3 and width = x + 7
We know the formula for area of rectangle = length * width
Area of rectangle = (5x-3)(x+7)
WE multiply it using FOIL method
F - First terms, 5x * x =
O- Outer terms, 5x * 7 = 35x
I - Inner terms, -3 * x= -3x
L - Last terms, -3 * 7 = -21
Now we add all the terms
combine like terms
So area of a rectangle =
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Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12