The square root of 81 is 9
Answer:
24+70+56=150
Step-by-step explanation:
Recall that the vertex form of a quadratic function (or parabolic function) is equal to

Now, given that we have f(x) = x² + 14x + 40, to express f into its vertex form, we must first fill in the expression to form a perfect square.
One concept that we must remember when completing the square is that
(a + b)² = a² + 2ab + b²
So, to complete the square for (x² + 14x + ____), we have 2ab = 14 where a = 1. Thus, b = 14/2 = 7. Hence, the last term of the perfect square must equal to 7² = 49.
So, going back to the function, we have




Thus, we have derived the vertex form of the function.
Answer: f(x) = (x + 7)² - 9
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:
sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
X intercept: when y = 0
Or coordinates: (x, 0)
On the graph it’s: (-2, 0)
On the function, plug in y = 0
2x - 4(0) = 8
2x - 0 = 8, x = 4
The graph x intercept is -2
The function x intercept is 4
Solution: function x intercept is greater