Which equation represents the line that passes through points (0,6) and (2.0)?
1 answer:
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Transformation involves changing the position of a shape.
The transformation from to
is 90 degrees clockwise rotation
Using the coordinates of A and A', we have:
Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.
i.e.
The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.
Hence, the transformation from to
is 90 degrees clockwise rotation
Read more about transformations at:
Answer:
147.5 km and 64.4 km
Step-by-step explanation:
a=120 km
b=70 km
β=28 degrees ( ∘)
b^2=(a^2)+(c^2)−2ac*cosβ
70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )
(c^2 ) −211.907c+9500=0
note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use
p=1;q=−211.907;r=9500
D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996
D>0
=
(−q±
)/2p=(211.91±
)/2
=105.95371114±41.5474295834
(−147.501140726)(
−64.4062815596)=0
=147.501140726
=64.4062815596