Answer:
1.
Part A: Yes, it is (a - b)².
Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.
Part C: x² - 12x + 36.
2.
Part A: Not a special product.
Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.
Part C: x² + 9x + 8.
3.
Part A: Yes, it is (a + b)²
Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.
Part C: 9x² + 12x + 4.
4.
Part A: Yes, it is (a + b)(a - b), a difference of squares.
Part B: a² - b² => 4x² - 49
Part C: 4x² - 49
5.
Part A: Not a special product.
Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.
Part C: 2x² - 15x + 25
Answer:
x =
= 10.8
Step-by-step explanation:
Both problems are done the same way. I will do the first one and you do the second one. OK?
Move the radius x to make a right triangle. The 6 unit segment bisects the chord. So, the legs of the right triangle are 6 and 9
The use the Pythagorean theorem to find x, which is the hypotenuse of the right triangle. Now,

= 10.8
None of the answer choices are to the nearest tenth. So, I am confused about that.
In the second problem, the answer should be 11.2
First, convert those inches to feet.
7in =ish 0.5833333
(you find this by dividing 7/12 on a calculator)
Now you just square 9.583333333
9.583333333^2
9.583333333 * 9.583333333
91.84027777ish
Rounded to the nearest foot, means the answer is 92ft.
convert 50ft to inches which is 600
then divide 600 by 75 = 8 rotations