H (x) = 5x^2+40x+64
y = (5x^2+40x+60) + 4
y = 5(x^2+8x+12) + 4
y = 5(x+2)(x+6) + 4
y-4 = 5(x+2)(x+6)
This means that the solutions, or where the parabola crosses the x-axis, are at x+2=0 and x+6=0, or x=-2, -6
So the midpoint of -2 and -6 is -4, the axis of symmetry is x=-4
Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let 
, where 
is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (
), measured in sexagesimal degrees, is determined by trigonometrical means:
(1)
If we know that 
and 
, then the directional bearing of the boat is:
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
A) x = 0, 2
Step-by-step explanation:
(x + 4) / 6x = 1 / x
this is a proportion, so you can cross-multiply and get:
x(x + 4) = 6x
x² + 4x = 6x
x² - 2x = 0
x(x - 2) = 0
x = 0
x - 2 = 0 so, x = 2
you have to multiply by -3
so the answers are going to be one negative one positive
and the next 5th terms are 108,-324,972,-2916,8748
Answer:
is it 32
Step-by-step explanation:
