Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
Hey!
We know Circumference = 2πr
Where,
r - radius of the circle.
Since it is given that d = 11mm
r = d/ 2
= 5.5 mm
= 0.55 cm
Therefore, Circumference = 2π × 0.55
= 3.455 cm
= 3. 46 cm
≈ 4 cm
Answer:
4 1/2
Step-by-step explanation:
2 1/3 pounds and 2 1/6 pounds
convert the 1/3 pounds into x/6 by multiplying both numerator and denominator by 2 which equals 2/6
Then add 2+2 which gives 4 and the 1/6 and 2/6 which is equal to 3/6 which simplifies into 1/2.
4 1/2