Answer:
D. (4x - 1)(4x + 1)
Step-by-step explanation:
16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:
(4x + 1) (4x - 1)
Answer:
(x + 7) (x + 5)
Step-by-step explanation:
Factor the following:
x^2 + 12 x + 35
The factors of 35 that sum to 12 are 7 and 5. So, x^2 + 12 x + 35 = (x + 7) (x + 5):
Answer: (x + 7) (x + 5)
Answer:
<u>Formulas</u>
<u>Question 14</u>
If a circle is inscribed in a square, then the diameter of the circle is equal to the side length of the square. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the side length of the square.
Given:
Therefore, the areas of the square and circle are:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₄π the size of the square.
<u>Question 15</u>
If a square is inscribed in a circle, then the diagonal of the square is the diameter of the circle. Therefore, as the radius of a circle is half the diameter, the radius of the circle is half the diagonal of the square.
Given:
Therefore, the ratio of the circle to square is:
So the circle is ¹/₂π the size of the square.