Answer:
option 4
1. Solve the given quadratic equations by extracting square roots. Provide an extra sheet for your solutions.
2 answers:
Answer:
1. m=-8 or m=8
2. x=-3 or x=3
3. equation has no roots
(thus if represented in graph format, the graph will not
intersect the x-axis)
4. s=-√12 or s=√12
5. x=0 or x=4
Step-by-step explanation:
for questions 1, 2 and 4, nite that when there is an even power of a variable in an equation, there will be an introduction of extra solutions thus you cannot just assume that the numbers attained will always be positive as the multiplication if negative numbers will also give you a positive answer especially when you square the number.
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Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria