The new coordinate will be T'(3.2 , -1.6) .
<h3>What is the meaning of Dilation ?</h3>
Dilation is the transformation that changes the size of the object without changing its shape .
If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)
The coordinate given in the question is T(8, -4)
The scale factor is 0.4
The new coordinate is
T'( 0.4 * 8 , 0.4 * (-4))
T'(3.2 , -1.6)
Therefore the new coordinate will be T'(3.2 , -1.6)
To know more about Dilation
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Let us first concentrate and write down all the information's given in the question. Based on these information's the answer to the question can be easily deduced.
Distance for which back packing was done = 15.75 miles
Average speed of back packing = 1.26 miles/hour
Since
Speed = Distance/Time
Time = Distance/speed
Time spend for back packing = 15.75/1.26 hour
= 12.5 hour
So the total time taken for back packing is 12.5 hours. I hope this is the answer you were looking for and the procedure is clear to you.
Use the law of Cosines where
angle A = 14+22=36 degrees
side b = 6 times 7
side c = 6 times 19
So you have a triangle with 2 legs of 42 and 114 with angle A = 36 degrees between them.
The law of Cosines is then
a^2 = 42^2 + 114^2 - 2(42)(114)Cosine(36)
Solve and take the square root.
= 7012.85 taking the square root of it
= 83.74 km apart
