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Fofino [41]
3 years ago
13

Is it possible for two numbers to have a difference of 8, and a sum of 1?

Mathematics
1 answer:
azamat3 years ago
7 0

Let x be the first number and y be the second number. If a difference of these numbers is 8, then x-y=8. If a sum of these two numbers is 1, then x+y=1.


Solve the system of equations \left \{ {{x-y=8} \atop {x+y=1}} \right. by adding two equations:


x-y+x+y=8+1,\\ 2x=9,\\ x=4.5.


Hence y=1-x=1-4.5=-3.5.


Answer: the difference of 4.5 and -3.5 is 8 and the sum is 1.

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Answer:

The end of the stencil is located at (8, -1)

Step-by-step explanation:

The given parameters are;

Location of the beginning of the left edge of the stencil = (-1, 2)

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Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2

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Distance from detail to stencil end = 2×√10

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x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8  

y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1  

The coordinates of the end of the stencil = (8, -1)

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