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3 years ago

Which expressions are equivalent to 10/10^3/4

2 answers:

3 0

$\dfrac{10}{10^\frac{3}{4}}=10^{1-\frac{3}{4}}=10^\frac{1}{4}=\sqrt[4]{10}\\\\\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\sqrt[n]{a}=a^\frac{1}{n}$

Nitella [24]3 years ago

3 0

it is the second and last ones

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Answer:

Step-by-step explanation:

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Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs

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Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

$Length: 10\ in$

$Width: 8\ in$

Required

Determine the possible dimensions of Rectangle B

The question has missing options; however, the question can still be solved.

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

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$Width: 12 in$

Divide the corresponding lengths of B by A to get the enlargement ratio

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For width

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Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

$Length: 20\ in$

$Width: 10\ in$

Calculate Ratios

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For length:

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Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
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Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
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Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

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3 years ago