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taurus [48]
3 years ago
15

I am so confused please help

Mathematics
2 answers:
Lemur [1.5K]3 years ago
6 0

Answer:

a. 2\sqrt{31}

b. 3

c.  3\sqrt{5}

d. 2\sqrt{3}

Step-by-step explanation:

This is a simple quadratic formula "substitution".

Essentially what you do is replace the "b" in the formula given above, with a "b" value from your given choices, same goes for "a" and "c" values.

You replace them and then solve the quadratic formula equation.

Ex. For the first set of values in your question, you make the formula into:

\sqrt{2^2-4(5)(-6) And there you would solve normally.

2 squared is 4, so you get 4 - [4 * 5 * -6]

Which after solving leaves you with: \sqrt{2^2+124}

Then you do Prime Factorization of 124, leaving you with: \sqrt{2^2*31}

Then you apply the radical rule, leaving you with: 2\sqrt{31}

Marysya12 [62]3 years ago
3 0

Step-by-step explanation:

This is a simple quadratic formula "substitution".

Essentially what you do is replace the "b" in the formula given above, with a "b" value from your given choices, same goes for "a" and "c" values.

You replace them and then solve the quadratic formula equation.

Ex. For the first set of values in your question, you make the formula into:

And there you would solve normally.

2 squared is 4, so you get 4 - [4 * 5 * -6]

Which after solving leaves you with:

Then you do Prime Factorization of 124, leaving you with:

Then you apply the radical rule, leaving you with:

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The length of a rectangular board is 10 cm longer than its with. The width of the board is 26cm. The board is cut into 9 equal p
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Answer: 26 cm × 4 cm or

36 cm × 2.89 cm

Step-by-step explanation:

The diagram of the board is shown in the attached photo

Width of the rectangular board is given as 26 cm

The length of a rectangular board is 10 cm longer than its with. This means that

Length of rectangular board = 26 +10 = 36 cm.

Area of rectangular board = length × width. It becomes

36 × 26 = 936cm^2

The board is cut into 9 equal pieces. This means that the area of each piece would be the area of the board divided by 9. It becomes

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The dimensions of the piece would be

Since area of each piece is 104 cm^2 and the width of the bigger board still corresponds to one side of each piece, the other side of each piece will be 104 /26 = 4 cm

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