Answer:
(2b-3)²
Step-by-step explanation:
The square of a binomial is ...
(p - q)² = p² - 2pq + q²
The fact that the first and last terms are perfect squares suggests that you might want to look to see if the middle term matches this form. It does.
For p² = 4b², p=2b.
For q² = 9, q = 3.
Then 2pq = 2(2b)(3) = 12b.
So, the factoring is ...
4b² -12b +9 = (2b -3)²
The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:
![cos (30) = \frac{a}{c}](https://tex.z-dn.net/?f=%20cos%20%2830%29%20%3D%20%5Cfrac%7Ba%7D%7Bc%7D%20%20)
Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:
![c = \frac{a}{cos (30)}](https://tex.z-dn.net/?f=%20c%20%3D%20%5Cfrac%7Ba%7D%7Bcos%20%2830%29%7D%20%20%20)
Substituting values:
![c = \frac{12}{cos (30)} c = 13.85](https://tex.z-dn.net/?f=%20c%20%3D%20%5Cfrac%7B12%7D%7Bcos%20%2830%29%7D%20%3C%2Fp%3E%3Cp%3E%20c%20%3D%2013.85%20%20%20)
Rounding to the nearest whole number we have:
![c = 14 in](https://tex.z-dn.net/?f=%20c%20%3D%2014%20in%20%20)
Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
Answer:
(1, 1)
Step-by-step explanation:
Multiply x and y by 0.25 to find the new coordinates after dilation
Answer:
It should be 10 raised to power 2 which is a hundred.
X³ = 125/27
Cube root both sides to isolate the variable:
∛x³ = ∛(125/27)
x = ∛(125/27)
∛125 = 5, ∛27 = 3
x = 5/3