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Over [174]
3 years ago
5

Can someone please help

Mathematics
1 answer:
Korolek [52]3 years ago
3 0

Answer:

Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis

Step-by-step explanation:

Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example,  the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.

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Conversion a mixed number 3 3
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To find new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7
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b) Add the answer from previous step 21 to the numerator 3. New numerator is 21 + 3 = 24
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Three and three sevenths is twenty-four sevenths
Conversion a mixed number 4 5
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to a improper fraction: 4 5/7 = 4 5
7
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a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7
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b) Add the answer from previous step 28 to the numerator 5. New numerator is 28 + 5 = 33
c) Write previous answer (new numerator 33) over the denominator 7.

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Add: 24
7
+ 33
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7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - twenty-four sevenths plus thirty-three sevenths = fifty-seven sevenths.
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