Answer:
Step-by-step explanation:
Value of x should be less than (-6).
x = { .......,-9,-8,-7}
For example:
-15*-7 +80 = 105+80 = 185 >170
So .. in 1foot, there are 12inches... thus, in 15feet, there are 15*12 inches
how many in 3/4 of an inch? well

solve for "x"
Answer:
Ratio of circumferences: 
Ratio of radii: 
Ratio of areas: 
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is 
- The circumference of Circle L is 
Therefore, the ratio of their circumferences would be:
⇒
when simplified
The formula for circumference is
, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is
, or
, then its radius is
.
If the circumference of Circle L is
, then its radius is
, which is 2.
Therefore the ratio their radii would be:
⇒
⇒
when simplified
The formula for area is:

First, let's find the area of Circle K:

Now, let's find the area of Circle L:

Therefore, the ratio of their areas would be:
⇒
⇒
⇒
when simplified
I hope this helps!
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)