Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Answer:
30
Step-by-step explanation:
You’re correct
Answer:
Radius of the circle is <em>15 inches.</em>
<em></em>
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
where 
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:
We know that 
Converting to radians:
radians
Putting the values of and to find the value of
Hence, Radius of the circle is <em>15 inches.</em>
