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9966 [12]
2 years ago
8

Find all real solutions of the equation. ( 2 b + 4 ) 2 − 12 = 0

Mathematics
2 answers:
Sveta_85 [38]2 years ago
6 0

Answer:

<h2><u><em>b = 1</em></u></h2>

Step-by-step explanation:

Find all real solutions of the equation. ( 2 b + 4 ) 2 − 12 = 0

( 2 b + 4 ) 2 − 12 = 0

4b + 8 - 12 = 0

4b - 4 = 0

4b = 4

b = 1

-------------------

check

(2*1+4)*2-12=0

12 - 12 = 0

0 = 0

the answer is good

Simora [160]2 years ago
3 0

Answer:

B = 2

Step-by-step explanation:

( 2 b + 4 ) 2 − 12 = 0

Distribute..

2b+4(2)-12=0

combine like terms

2b+8-12=0

2b-4=0

Now solve this simple 2 step equation...

2b-4=0

+4=+4     <- add 4 to both sides

----------

2b=4

/2  = /2    <- divede both sides by 2

-----------

B = 2

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3/4 = x/18

⇔ x = 3/4 .18 = 27/2 = 13.5

Step-by-step explanation:

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Calculate the perimeter and the area of the figure.<br><br>top answer gets brainlest
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Answer:

area: 72    perimeter: 36

Step-by-step explanation:

area of big rectangle, 10x6=60  

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The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Wha
seraphim [82]

Answer:

\sum_{i=1}^n x_i =459

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With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967

And the slope would be:

m=\frac{967}{650}=1.488

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51

\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33

And we can find the intercept using this:

b=\bar y -m \bar x=136.33-(1.488*51)=60.442

So the line would be given by:

y=1.488 x +60.442

And then the best predicted value of y for x = 41 is:

y=1.488*41 +60.442 =121.45

Step-by-step explanation:

For this case we assume the following dataset given:

x: 38,41,45,48,51,53,57,61,65

y: 116,120,123,131,142,145,148,150,152

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =459

\sum_{i=1}^n y_i =1227

\sum_{i=1}^n x^2_i =24059

\sum_{i=1}^n y^2_i =168843

\sum_{i=1}^n x_i y_i =63544

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=24059-\frac{459^2}{9}=650

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=63544-\frac{459*1227}{9}=967

And the slope would be:

m=\frac{967}{650}=1.488

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{459}{9}=51

\bar y= \frac{\sum y_i}{n}=\frac{1227}{9}=136.33

And we can find the intercept using this:

b=\bar y -m \bar x=136.33-(1.488*51)=60.442

So the line would be given by:

y=1.488 x +60.442

And then the best predicted value of y for x = 41 is:

y=1.488*41 +60.442 =121.45

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Answer:

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Simplify:

\angle H = 57^{\circ}

Given that:

\cos H = \frac{x}{y}

Using Cosine ratio:

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In a given figure:

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Then;

\cos 57^{\circ}= \frac{x}{80}

or

x = \cos 57^{\circ} \cdot 80  

x = 0.54463903501 \cdot 80 \approx 43.57 cm

Therefore, the value of :

H = 57^{\circ}

x = 43.57 cm

y = 80 cm





5 0
3 years ago
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