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Ronch [10]
3 years ago
12

A rectangle that is 2 inches by 3 inches has heen scaled by a factor of 7.

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

1. 14 inches and 21 inches

2.

\frac{1}{7}

Step-by-step explanation:

1.Since the rectangle has been increased by a factor of 7. Therefore

2 \times 7 = 14 \\ 3 \times 7 = 21

2. As you have increased it by a factor of 7. To reduce it, multiply by a factor of

\frac{1}{7}

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B28%20%7D%20%20%2B%20%20%5Csqrt%7B343%7D%20%20%5Cdiv%202%20%5Csqrt%7B63%20%7D%20"
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Answer:

Step-by-step explanation:

sqrt(28): sqrt(4*7)

sqrt(4) = 2;

sqrt28)=2*sqrt(7)

sqrt(343): sqrt(7 * 7 * 7) = 7 * sqrt(7)

Note: the rule is if you have 3 equal primes under the root sign, you leave one, you throw one away, and you put one outside the root sign.

2 sqrt(63) = 2 sqrt(3*3*7)  The above rule gets modified to throw 1 three away and take the other one outside the root sign.

2sqrt(63) = 2*3 sqrt(7)

Numerator: 2*sqrt(7) + 7sqrt(7) = 9sqrt(7)

9sqrt(7)

======

6 sqrt(7)

3/2

Note without brackets I cannot be certain that I have interpreted this correctly. The division only apply to sqrt(343) / 2 sqrt(63). If this is so please leave a note.

7 0
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