11. What is the positive solution to this equation?
4x2+ 12 x= 28

Answers

Answer 1

Answer:

x = sqrt(37)/2 - 3/2

approximately 1.54

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 + 12 x = 28

Divide both sides by 4:

x^2 + 3 x = 7

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 37/4

Write the left hand side as a square:

(x + 3/2)^2 = 37/4

Take the square root of both sides:

x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

Answer: |

| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2


Related Questions

How many faces does this figure have?
O two
O three
O four
O five

Answers

This figure has 5 faces if you count all the sides of the shade

Answer:

Five

Step-by-step explanation:

it is a triangular prism so five sides

Give me Brainllest

Someone please help me?!?!

Answers

Answer:

30 is correct answer. ... ...........

Find the missing side lengths given the perimeter.

Answers

Answer:

Step-by-step explanation:

Perimeter=4y+4y+y+y

25=10y

We divide both sides with 10 => y=2,5

9514 1404 393

Answer:

y = 2.5 ft4y = 10 ft

Step-by-step explanation:

The perimeter is the sum of the side length. Each of the sides shown has the same length as its opposite, so the perimeter is ...

  P = 2(4y +y) = 10y

Using the given value for perimeter, we find y to be ...

  25 ft = 10y

  2.5 ft = y

__

Then the longer side is ...

  4y = 4(2.5 ft) = 10 ft . . . . length of longer side

Armed gunmen shoot a victim who is 5.9 ft tall, from the roof of a building that is 146 ft away. If the roof of the building was 385 ft high, at what angle to the horizon would the bullet have been fired?

Answers

The bullet has been fired at an angle of 69.5° to the horizon. This is a problem based on the application of trigonometry.

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles.

Given that

Distance between the building and the man = 146 ft.

Height of the man = 5.9 ft.

Height of the building = 385 ft.

So,

Total height = Height of the man + Height of the building

                    = 5.9 ft. + 385 ft.

                    = 390.9 ft.

Let the angle to the horizon would the bullet have been fired be x°.

[tex]tanx^o = \frac{390.9}{146}\\tanx^o = 2.677\\x = tan^{-1}(2.677)\\x = 69.5[/tex]

Thus, the bullet has been at an angle of 69.5°.

Learn more about trigonometry here:

https://brainly.com/question/11016599

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5. Move vertices C and D to different locations.
What is the sum of the angle measures of the quadrilateral?

Answers

Answer:360

Step-by-step explanation:

Answer:

it is 360 degrees

Step-by-step explanation:

A right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6). What is the area of the triangle in square units?​

Answers

Answer:

the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?

Step-by-step explanation:

The area of the triangle is equal to 25√2 square units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).

The area will be calculated as,

Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]

Side = √ ( 1 + 49)

Side = √50

Base = √ [ ( 6 + 3 )² + ( -1-2)² )

Base = √ ( 81 + 9 )

Base = √100

The area will be calculated as,

Area = (1/2) x B x H

Area = (1/2) x √50 x √100

Area = (1/2) x √50 x 10

Area = 5 x √( 25 x 2 )

Area = 25√2 square units

To know more about coordinate geometry follow

https://brainly.com/question/19044159

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The volume of the trapezoidal prism is

Answers

Answer:

3612 m^3

Step-by-step explanation:

Find the measure of C for the circle :

Answers

Answer:

x = 72

Step-by-step explanation:

∠DBC is an included angle and arc DB is its corresponding arc

Relationship between an included angle and its corresponding arc:  an included angle is equal to one half of its corresponding arc

so

∠DBC = [tex]\frac{1}{2}[/tex] arc DB

we are given that arc DB = 144

so we exchange arc db with 144

∠DBC = [tex]\frac{1}{2} 144[/tex]

[tex]\frac{1}{2} 144=72[/tex]

so we can conclude that ∠DBC (x) = 72

NEED HELP ASAP!

Solve for x

Answers

Answer:

x = 652.7

Step-by-step explanation:

x = (tan 40° x 500) + (tan 25° x 500) = 419.55 + 233.15 = 652.7

the answer to your question is 652.7

PLZ HELP IF CAN<3 TEST IS DUE AT 3:50!! In America

Answers

Three and five tenths multiplied by four

please help last part to my question it's already late!

Answers

Answer:

No, it's not.

Step-by-step explanation:

A right triangle has to have its edges have 90 degrees, and the triangle that they showed does not have that.

The test to determine the presence of a certain virus in a pigeon is 97% accurate for a pigeon that has the virus and 99% accurate for a pigeon that does not have the virus. In a given population, 1.5% of the pigeons are infected.
Do not round your answer.
The probability that a randomly selected pigeon gets an incorrect result is

Answers

Before finding the probabilities, we need to find all possible outcomes, and it's probabilities.

Doing this, we get:

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

Possible outcomes:

Pigeon has the virus(1.5% probability) and gets an accurate test, showing the presence of the virus(97% probability).

Pigeon has the virus(1.5% probability) and gets an inaccurate test, not showing the presence of the virus(100% - 97% = 3% probability).

Pigeon does not have the virus(100 - 1.5 = 98.5% probability) and gets an accurate test, not showing the presence of the virus(99% probability).

Pigeon does not have the virus(98.5% probability) and gets an innacurate test, showing the virus(100 - 99 = 1% probability).

Probability of incorrect result:

Has the virus and test negative: 0.03 of 0.015

Does not have the virus and test positive: 0.01 of 0.985

Thus:

[tex]p = 0.03\times0.015 + 0.01\times0.985 = 0.0103[/tex]

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

For a similar example, you can check https://brainly.com/question/14775123

Which of the following fractions is not in simplest form?

A) 4/15

B) 7/10

C) 9/12

D) 3/4

Answers

Answer:C) 9/12

Step-by-step explanation:

b) –3/5x + 5 + x = –7
Pls daje naj

Answers

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

a shop keeper M sells some goods to N and makes a profitbof 15%.N resells to P at a loss of 5%.If P pays birr 13.11 how much did M pays for the goods?​

Answers

Answer:

15.83

Step-by-step explanation:

13.11 / 100 = 0.1311

0.1311*5=5%=0.6555

13.11+0.6555=13.7655

13.7655/100=0.137655 * 15 -->15%=2.064528

13.7655+2.064528=15.830325

Answer:

ya the 15 sth like that I think

Find the value of x. Then classify the triangle by its angles.

Answers

Answer:

B

Step-by-step explanation:

c

i need help with this plz :)

Answers

Answer:

Assuming the wall is flat, X = 50.5

Step-by-step explanation:

180 degrees - 79 degrees = 101

101 / 2 = 50.5

Hope this helps :)

x = (180-79)/2 = 50.5 degrees

4.364923697 in radical form

Answers

Answer:

i hope u can round other wise its this 4   3649237 / 10000000

Step-by-step explanation:

the dash is the fraction symbol

HI HELP THANK YOU LOVE U SM BAES

Answers

the answer is b 1/2 <3

NO LINKS I WILL REPORT!! but help plsss What is the value of y?
2yº
y + 10°
50°

Answers

Answer:

y=40

I hope it's helps you

Now check the boxes for Show Segment Parallel to AC and Show Segment Parallel to AB. Find the ratio of BF to FC and the ratio of GB to AG. Then find the ratio of IC to BI and the ratio of HC to AH. (If you want to move , select point F, and if you want to move , select point H.) What can you say about the relationship between the pairs of lengths in each case?

Answers

Answer:

The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.

Step-by-step explanation:

PLATO ANSWER

PLEASE I need help!!!!

Answers

Answer:

a. 40 ft²

b. 21 ft²

c. 61 ft²

Step-by-step explanation:

Rectangle area formula: l * w

Triangle area formula: 1/2(bh)

10 * 4

40 ft² for the rectangle

1/2(7 * 6)

1/2(42)

21 ft² for the triangle

40 + 21

61 ft² in total (both the rectangle & the triangle)

solve for x
I'm not sure of the way I answered it so can anyone help plz​

Answers

Answer:

x = √76

Step-by-step explanation:

in upper triangle :

7² - 3² =40 so the third side of the upper triangle is : √40

in the biggest triangle :

(3+3)² + 40 = 76 so the another side of the biggest triangle is : √76

Hey guys I need help with this right quick...got some time to help????

Answers

Answer=18
3x4=12
12x6=72
72x1/4=18

Calculate the perimeter of the triangle shown.

Answers

Answer:36

Step-by-step explanation:15+5+16=36

IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!

Answers

Answer:

part a:

x lengths = 6

unit lengths = 2

part b:

6x+2

Step-by-step explanation:

You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2

Answer:

Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.

Step-by-step explanation:

What (7 1/3) - (2 2/3) = pls help.

Answers

Answer:

4 2/3 is the answer

Step-by-step explanation:

4 2/3 is the answer

Answer:

[tex]4\frac{2}{3}[/tex]

Step-by-step explanation:

Giving brainlist to whoever answers

Answers

Answer:

62.4 cm³

Step-by-step explanation:

Hope this helps :)

Combine Rationa25 points do all pls

Answers

Answer:

Sorry

Step-by-step explanation:

Sorry

for brainiest:):):):):):):):):)

Answers

Answer:

1 is 21 i think

and 2 is 56 i think

Step-by-step explanation:

giimme brainly if right

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