Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8
Answer:
$38.00
Step-by-step explanation:
You purchase 4 large pizzas.
Each one costs $9.50
Total expenditure on pizza = $9.50 × 4 = $38.00
Answer:
932
Step-by-step explanation:
42x can be factored into 7(6x), and 49 is square, meaning it can be factored into 7 squared. I believe the factored expression would be 7(6x + 7) because 7 is the greatest common factor between both numbers.
Answer:
Step-by-step explanation:
2^0 is less than or equal to 1!, because 1<= 1
if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since
(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0