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marishachu [46]
2 years ago
9

Find the solutions of the following equations by extracting square roots 9x2-16=0 (z-2)2-36=0

Mathematics
1 answer:
natta225 [31]2 years ago
7 0

The solutions of the equation 9x² - 16 = 0is 4/3 and -4/3 and that of the equation (z - 2)^{2}  - 36 = 0 is 8 and -4.

Solving the both quadratic equations by extracting square roots:

9x^{2}  - 16 = 0

⇒ 9x^{2}  = 16                                    

∴ On taking square-root of both sides, we get

\sqrt{9x^{2} } = \sqrt{16}

⇒ 3x = +4 and 3x = -4

⇒ x = 4/3 and x = -4/3

For the equation, (z - 2)^{2}  - 36 = 0, the solution is:

(z - 2)^{2}  - 36 = 0

⇒ (z - 2)^{2}  = 36

∴ On taking square-root of both sides, we get

\sqrt{(z - 2)^{2} }  = \sqrt{36}

⇒ (z - 2) = 6 and (z - 2) = -6

⇒ z = 6 +2 and z = -6 + 2

⇒ z = 8 and z = -4

The solution of the equation 9x^{2}  - 16 = 0 is 4/3 and -4/3.

The solution of the equation (z - 2)^{2}  - 36 = 0 is 8 and -4.

For similar equation, visit here:

brainly.com/question/18397338

#SPJ4

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3 years ago
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Which statement correctly compares the spreads of the distributions?
swat32

Answer:

b. the ranges of penguin heights are the same.

Step-by-step explanation:

Hello!

Statements:

Which statement correctly compares the spreads of the distributions?

a. the mode of penguin heights at county side zoo is greater than  the mode at city view zoo.

b. the ranges of penguin heights are the same.

c. the range of penguin heights is greater at city view zoo than at  county side zoo.

d. the range of penguin heights is greater at county side zoo than at  city view zoo.

The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.

The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.

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Both ranges are the same.

I hope this helps!

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4 years ago
DESPERATE PLEASE ANSWER FAST
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(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

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2800

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4200

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Time (years)

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1

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9000

Step-by-step explanation:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

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UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

0

Time (years)

Savings account balance ($)

1

1300

2

2500

3

3600

4

4000

5

2200

6

1800

7

3200

8

9000

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I hope this helps!
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