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2 years ago

If the equation ax+b=cx+d has no solution what must be true about a, b, c, and d?

Mathematics

1 answer:

kykrilka [37]2 years ago

5 0

9514 1404 393

Answer:

a = c
b ≠ d

Step-by-step explanation:

For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,

a = c

and the y-intercepts must be different:

b ≠ d.

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Answer:

The record alligator is $6\frac{1}{4}$ feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured $12\frac{11}{12}$ feet long. The record length of an American alligator is $19\frac{1}{6}$ feet long. How much longer is the record alligator than the alligator Taylor saw?

For this first convert the mixed fraction into an improper fraction.

$12\frac{11}{12}=\frac{155}{12}$

$19\frac{1}{6}=\frac{115}{6}$

Now subtract $\frac{155}{12}$ from $\frac{115}{6}$ .

$\frac{115}{6}-\frac{155}{12}=\frac{75}{12}=6\frac{1}{4}$

Hence, the record alligator is $6\frac{1}{4}$ feet longer than the alligator Taylor saw.

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