Answer:
Step-by-step explanation:
<u>Multiply both sides of the equation by 6:</u>
<u>Subtract 12 from both sides:</u>
<u>Subtract 12 from 96:</u>
<u>_________________________________</u>
1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.
... x⁴ and x² have a common factor of x²
The GCF is 6x².
The factorization is 36x⁴ -42x² = 6x²(6x² -7)
2. All coefficients are multiples of 4. All variable factors are multiples of x³.
The GCF is 4x³.
The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)
3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.
The GCF is 3m².
The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)
Answer:
95.9 cm^2
Step-by-step explanation:
this figure is composed of two semicircles. the area of each semicircle would be determined and then added together.
area of a semicircle = 1/2 nr^2
r = radius
n = 22/7
bigger semicircle
1/2 x (22/7) x (6^2) = 56.57cm^2
smaller circle = 1/2 x (22/7) x (5^2) =39.29cm^2
Sum of the areas = 56.6 + 39.3 = 95.9 cm^2
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero