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lexhorton2002
30.01.2020 •
Mathematics
Write a real world problem involving a proportional relationship. explain how you know the relationship is proportional
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Ответ:
Proportional means that Y grows as X grows, and Y shrinks as X shrinks, and when Y is zero, X is zero. The only time they have to be the same number though is at zero.
An example of this in real life is the way that people make money, wages, let's use minimum wage.
When you work 0 hours, you make $0.
Working 1 hour means you made $7.25
and working 5 hours mean you've made $36.25. It's a linear equation that starts at the origin, that means it is proportional.
Please consider giving brainliest answer and a thanks to the answers you find most helpful! :)
Ответ:
c. Reflection across the x-axis, followed by translation 10 units right
Explanation:
1) The vertices of figure 1 are: (-3, 4); (-4, 7); (-5, 2); (-6, 5)
2) The vertices of figure 2 are: (7, - 4); (6, -7); (5, -2); (4, -5)
3) Since, many sets of two transformations can transform the figure 1 into the figure 2, you need to probe each pair of the choice statements.
4) This proves that the statements of the option C. yield the figure 2:
1) Reflection across the x-axis.
A reflection across the x-axis, keeps the x-coordinate, and change the y-coordinate to its opposite (negative). This is: (x, y) → (x - y).
Use that rule on the 4 vertices of the figure 1 and you get:
(-3, 4) → (-3, -4);
(-4, 7) → (-4, -7);
(-5, 2) → (-5, -2);
(-6, 5) → (-6, -5)
2) Translation 10 units right
A translation of 10 units transforms the points (x,y) into (x + 10, y): (x,y) → (x + 10), y)
Apply that rule:
(-3, -4) → (-3 + 10, -4) = (7, -4)
(-4, -7) → (-4 + 10, 7) = (6, -7)
(-5, -2) → (-5 + 10, -2) = (5, -2)
(-6, -5) → (-6 + 10, -5) = (4, - 5)
Then, it has been proven that the two transformations given in the option C. transforms figure 1 onto figure 2.