Answer:
y<=-3x-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=-6-3/1-2
m=-3
y-y1=m(x-x1)
y-3=-3(x-(-2))
y-3=-3x-6
y=-3x-6+3
y=-3x-3
we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x-3
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
Hey!
Well a soccer field would be a rectangle and if cut across you will be presented with two right triangles. So since you are presented with right triangles you will need to know at least two sides to determine the third. The formula used for right triangles is...
a² + b² = c²
Now a and b are the "legs" of the triangle meaning the two sides that come together to make a 90° angle. The c in the equation would be the hypotenuse of the triangle, otherwise the longest side or in this case the diagonal part. Now to find that distance you will have to plug in and solve...
100² + 230² = c²
10000 + 52900 = c²
62900 = c²
about 250.8 meters
Hope this Helped!
~A