Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the gra
ph below.
Which rotation could have taken place?
a 90° rotation
a 135° rotation
a 225° rotation
a 315° rotation
Which rotation could have taken place?
a 90° rotation
a 135° rotation
a 225° rotation
a 315° rotation
2 answers:
Answer:
The correct option is 3.
Step-by-step explanation:
From the given figure it is clear that the vertices of preimage are A(-4,-2), B(-2,1) and C(-2,-2).
Center of rotation is origin, i.e., (0,0).
Triangle ABC is rotated counterclockwise about the origin.
We need to find the angle of rotation.
Draw line segments OC and OC'. From the below figure it is clear that the angle of rotation counterclockwise about origin is
Therefore the correct option is 3.
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Answer:
y²/324 -x²/36 = 1
Step-by-step explanation:
Where (0, ±b) are the ends of the transverse axis and y = ±(b/a)x describes the asymptotes, the equation of the hyperbola can be written as ...
y²/b² -x²/a² = 1
<h3>Application</h3>Here, we have transverse axis endpoints of (0, ±18) and asymptotes of y = ±3x, so we can conclude ...
b = 18
b/a = 3 ⇒ a = 18/3 = 6
The equation of the hyperbola in standard form is ...
y²/324 -x²/36 = 1
