Answer:
21) 2 x 11
23) 2 x 2 x 2 x 3
25) 3 x 5
27) 2 x 2 x 5
29) 3 x 7
Step-by-step explanation:
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
C^2 is GCF for Part A
= c^2(3x^2 + 2x - 1)
= c^2(3x - 1)(x + 1)
Part B
x^2 - 2x + 1
= x^2 - x - x + 1
= x(x - 1) - 1(x - 1)
= (x - 1)^2
Part c
x^2 - 64
= (x + 8)(x - 8)
Y = -4/3x + 5....the slope here is -4/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the original slope and change the sign. So we have -4/3....we flip it and it becomes - 3/4....we change the sign and it becomes 3/4. So the perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub into the formula and find b, the y int
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
-31/4 = b
so ur perpendicular equation is : y = 3/4x + (-31/4) which is written as :
y = 3/4x - 13/4 <== ur answer
Since 3 is replacting x, and there is an x in the problem, replace any instance of x with the number 3! So you would have 2(3)^2+4
