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4 years ago

Complete this sentence with the best of choices given

Mathematics

1 answer:

suter [353]4 years ago

5 0

It means that the two line segments, EF and GH, are A, parallel.

The symbol between the segments (ll) is of two parallel lines, so it's stating that the segments are parallel.

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Energy and mass are related by the formula E = mc^2

erastovalidia [21]

Answer:

m = E/c^2

Step-by-step explanation:

To solve the given equation for m, divide by its coefficient.

$E=mc^2\\\\\dfrac{E}{c^2}=\dfrac{mc^2}{c^2}\\\\\dfrac{E}{c^2}=m$

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3 years ago

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Brad made a graph showing how many students were absent from school every day last week.

bazaltina [42]

Answer:

Step-by-step explanation:

Day 2:10 students were absent

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3 years ago

What is the value of the expression (-5) -3?

ahrayia [7]

Answer:

Yezzir

Step-by-step explanation:

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3 years ago

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

Use the provided ruler to measure the segment shown. Find the scale of the drawing.

Yakvenalex [24]

Length of the segment is 1.5 cm (since the picture is small)

The scale is 1.5 : 1 or 1.5/1

6 0

3 years ago