Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
The height of the car at the end of the ride is 4 meters
12.5 (area of triangle) +40 (area of rectangle)=52.5
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case : -1/4
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case y decreases by 1 for every x increase by 4.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
in our case it is : 4/1 = 4
so, the line function in point slope form is then (using the new slope and the point coordinates)
y - 3 = 4(x - 1)
Answer:
#3
Step-by-step explanation:
