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X=-3 because first substitute the value of y into the original equation -2x-3=x+6 then isolate the variables -2x-x=6+3 which is -3x=9 then we can divide x=9/-3 which =-3
So we have 2 variables here: tacos and orders of nachos.
When we translate the paragraphs into equation:
Now, in this situation we can make use the elimination method by converting 3n to -27n.
Add both equations:
So we find that one taco costs $2.75.
We can plug this into any of the first two equations to find n:
So one order of nachos cost $1.40.
Answer:
A. 5 ft, 4 ft, 3 ft
Step-by-step explanation:
When you use the Pythagorean theorem with the numbers of the first choice, you find that these could be the sides of a right triangle:
3² + 4² = 9 + 16 = 25 = 5²
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You have found the correct answer at this point.
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If you want to check, you can examine the other choices:
C: 6² +10² = 136 ≠ 11²
B: 2² +4² = 20 ≠ 6²
D: 5² +10² = 125 ≠ 15²
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<em>Comment on 3-4-5 triangle</em>
As you can see from the above, side measures of 3, 4, and 5 will form a right triangle. This is the smallest set of integers that will do so. It is also the ratios of the only set of side lengths in arithmetic progression that will do so.
This latter fact can help you rule out choices B and D in this problem, because each of those has sides in the progression 1 : 2 : 3.
(3, 4, 5) triangles come up often in algebra and geometry problems. This is a useful "Pythagorean triple" to remember.
