Which statements are true for the equation x2 = −4y? Check all that apply.
2 answers:
Answer:
1, 2 and 5 options are correct.
Step-by-step explanation:
Given:
It is a equation of parabola.
It is open downward because coefficient of y is negative.
Vertex: (0,0)
Axis of symmetry, x=0 ( x-coordinate of vertex )
4p=-4
p=-1
Thus, Focus: (0,-1)
Equation of directirx: y=1
Hence, The correct options are
The axis of symmetry is x = 0.
The axis of symmetry is x = 0.
The value of p = −1.
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Given:
A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.
The distance between plan and mountain is 10 km.
A short time later, the bearing to the mountain becomes 45°.
Here NM is the distance between the plane from the mountain when the second bearing is taken.
We need to find the measure of NM.
The sum of the supplementary angles is 180 degrees.
We know that the sum of all three angles of the triangle is 180 degrees.
Consider the sine law.
Take the equation to find the measure of NM.
Hence the measure of NM is 8.1 km.
The plane is 8.1 km far from the mountain when the second bearing is taken.
