Answer:
3
Step-by-step explanation:
The scale factor multiplies each coordinate value. If the scale factor is k, then we have ...
D' = kD
(36, -12) = k(12, -4) = (12k, -4k)
k = 36/12 = -12/-4 = 3
The scale factor of the dilation is 3.
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
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The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
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We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>
The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.
A man was murdered in his office. The suspects are gerry, julie, jason, nick and sophie. The number 6,4,9,10, 11 are written on calendar with blood. The correct answer is JASON.
<span>In calendar, </span>
6 - June
4 - April
9 - September
10 - October
11 - November
<span>When you add all the initials, you'll get JASON.</span>
Reflection over the y-axis, translation 2 units down