All categories

2 years ago

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:

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

You might be interested in

Fill in the blank with the correct response.<br> If 3/4 = x/18 , then x is equal to

madam [21]

Answer: x = 13.5

3/4 = x/18

⇔ x = 3/4 .18 = 27/2 = 13.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

-Real, rational, irrational, whole, integers.

Finger [1]

The rational numbers will best define- The height of an airplane as it descends to an airport runway.

This is because it includes fractions as well.
Irrational, integers, whole numbers cannot be used in this situation.

3 0

3 years ago

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

Simora [160]

Answer:

area: 72 perimeter: 36

Step-by-step explanation:

area of big rectangle, 10x6=60

height of triangle:4 multiplied by 3 (6/2=3) =12 12+60=72

length of sides added together: 10+10+6+5+5=36

7 0

3 years ago

Read 2 more answers

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

seraphim [82]

Answer:

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

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

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

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

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

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:

$y=1.488*41 +60.442 =121.45$

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:

$y=1.488*41 +60.442 =121.45$

3 0

3 years ago

Find the correct values for the variables that make the statement cos(h)=x/y true.

Stels [109]

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

$\angle F + \angle G + \angle H = 180^{\circ}$

$\angle H = 180^{\circ} -{\angle F + \angle G}$

Substitute the given values from the given figure we have;

$\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}$

$\angle H = 180^{\circ} -{123^{\circ}}$

Simplify:

$\angle H = 57^{\circ}$

Given that:

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

Using Cosine ratio:

$\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

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

$x = \cos 57^{\circ} \cdot 80$

$x = 0.54463903501 \cdot 80 \approx 43.57$ cm

Therefore, the value of :

$H = 57^{\circ}$

x = 43.57 cm

y = 80 cm

5 0

3 years ago

Read 2 more answers