You have the following inequality:
√x > 2
Consider that only positive values of x result in real solutions. Moreover, if you squared both sides of the inequality, you obtain:
x > 4
The graph of the inequality is shown below:
Answer:
Co-ordinates after 90 degree clockwise rotation:-
S = -4, -3
R = -4, -6
P = -7, -3
Q= -7, -6
Step-by-step explanation:
Original co-ordinates:-
S = 3,-4
R = 6,-4
P = 3,-7
Q = 6, -7
90 degree clockwise formula = (y,-x)
After conversion:-
S = -4, -3
R = -4, -6
P = -7, -3
Q= -7, -6
Answer:
y = (2x + 3)(2x + 3) = (2x + 3)²
Step-by-step explanation:
We are given a quadratic function and we have to write it in factored form.
y = 9 + 12x + 4x²
y = 4x² + 12x + 9
We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:
y = 4x² + 6x + 6x + 9
Taking 2x common from the first two variables and 3 from the second two
y = 2x(2x + 3) + 3(2x + 3)
Taking 2x+3 common
y = (2x + 3)(2x + 3) = (2x + 3)²
according to the graph at x= -2
y = 3