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VikaD [51]
3 years ago
10

Blaine exchanges $100 for yen before going to Japan.

Mathematics
1 answer:
olasank [31]3 years ago
5 0

So for this, we will be using dimensional analysis:


\frac{\$100}{1} *\frac{88.353 \yen}{\$1} =\frac{8835.3}{1}


In short, he should receive ¥8835.30.

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Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
satela [25.4K]
The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

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(-16+x)/2 = 0
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Therefore the x coordinate of point Q is 16.

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Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
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