Answer: Option D is correct.
Step-by-step explanation:
Since we have given that
focus = (-5,5)
and a directrix y= -1
Since, equation of parabola in this case will be

Now, here

So equation will be
So, option D is correct .
Answer:
√23 is the answer of the question
Answer:
19 > DB > 5
Step-by-step explanation:
In a triangle Δ ABC, AC = 7, and BC = 18.
Therefore, the length of the third side of the triangle Δ ABC i.e. length of AB can have a maximum value of < (7 + 18) i.e. 25 and the minimum value of the length AB will be > (18 - 7) i.e. 11
Hence, the length of AB will be given by 25 > AB > 11.
Now, AB = AD + DB = 6 + DB {Since length of AD is given to be 6}
Therefore, 25 > 6 + DB > 11
⇒ 19 > DB > 5 (Answer)
Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
remember that local minimuns are points in which the function was decreasing and starts increasing.
you can try two ways of doing it, graphing the functions or using derivatives.
since this are twelve functios the easier way is to graph them.
start by function y=x
in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.
now do the same for

this graph has a local minima on th