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: y =21; x = 7√3
have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3
sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21
Step-by-step explanation:
You would subtract 120 from 750 to get your answer.
750 - 120 = 630.
V of cube = a cubed
15 to the third power would give u a volume of 3,375cm cubed
We are starting with y = 3x -5 which is the slope intercept form (y = mx +b) of a linear equation where the slope is m and the y intercept is b. In this equation the slope m = 3 A perpendicular line would have a slope that is the negative reciprocal so the slope of the perpendicular line would be m = -1/3 So we have a slope m = -1/3 and a point (3,2) so use the point slope formula (Y-Y1) = m(X-X1)In this case (X1,Y1) = (3,2) (Y - 2) = (-1/3)(X-3) Y-2 = (-1/3)X + 1 Y = (-1/3)X + 3 would be the equation of the perpendicular line through (3,2)
