Answer:
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Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
24-8 would be? right 16 so the 16+2=18 the times 10 would be 180/4 would be.45
Answer:
Option C is true.
Step-by-step explanation:
See the attached diagram.
Since MN is a diameter of the circle at P, so it will always make a right angle at a point on the circumference of the circle.
Therefore, ∠ MLN = 90° as L is a point on the circumference.
Now, given that LM = 2x and LN = 3x, then we have to find MN.
So, applying Pythagoras Theorem, MN² = LM² + LN²
⇒ MN² = 4x² + 9x² = 13x²
⇒ MN = x√13
Therefore, option C is true. (Answer)
D
500(x-2)=200x
500x-1000=200x
300x=1000
x=3.333330 or 3 and 1/3
Propeller distance: 3 and 1/3 * 200 = 666.666667 or 666 and 2/3 miles
