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GREYUIT [131]
3 years ago
13

3(x−2)+6=5(x+4) what is x

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

Hope this helps

Step-by-step explanation:

x=-10

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What is the area of a circle ​
aleksley [76]

Answer:

πr²

Step-by-step explanation:

7 0
3 years ago
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The height of a cone is equal to the diameter of the base. What expression represents the volume of the cone, in cubic units?
Maurinko [17]
By definition, the volume of a cone is given by:
 V = (1/3) * (\pi) * (r ^ 2) * (h)

 Where,
 r: radius of the circular base
 h: height of the cone
 Let's define a variable:
 x: diameter of the base
 We have then that the radio is:
 r = x / 2

 The height is:
 h = x

 Substituting values:
 V = (1/3) * (\pi) * ((x / 2) ^ 2) * (x)

 Rewriting:
 V = (1/3) * (\pi) * (x ^ 2/4) * (x)

V = (1/12) * (\pi) * (x ^ 3)
 Answer:
 
An expression that represents the volume of the cone, in cubic units is:
 
V = (1/12) * (\pi) * (x ^ 3)
3 0
3 years ago
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Free_Kalibri [48]

Answer:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

Hence, ption B is true.

Step-by-step explanation:

Given the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

solving the expression

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}

as

\sqrt{x^2y^3}=xy\sqrt{y}

2\sqrt{x^3y^4}=2xy^2\sqrt{x}

so the expression becomes

\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}

Group like terms

                                        =2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}

Add similar elements

                                        =2xy^2\sqrt{x}+2xy\sqrt{y}

Therefore, we conclude that:

\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}

Hence, option B is true.

6 0
3 years ago
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The captain of a boat knows that a lighthouse on the coast is 100 ft
Tatiana [17]

Answer:

Height of the light house =7.5\ feet

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

\tan2\°=\frac {AB}{BC}

\tan2\°=\frac {AB}{100}

0.035=\frac {AB}{100}

Multiplying both sides by 100.

100\times 0.035=100\times\frac {AB}{100}

3.5=AB

∴ AB=3.5

Height of the light house =3.5+4=7.5\ feet

3 0
3 years ago
How do you solve <br> -178=-5x+4(-4x-13)
Effectus [21]

Answer:

x = 6

Step-by-step explanation:

  • <em><u>Pull out like factors: </u></em>

-4x - 13  =   -1 • (4x + 13)

  • <em><u>Equation at the end of step 2: </u></em>

 -178 -  (-5x +  -4 • [4x + 13] )  = 0

  • <em><u>Pull out like factors: </u></em>

  21x - 126  =   21 • (x - 6)

  • <em><u>Equation at the end of step 4: </u></em>

 21 • (x - 6)  = 0

  • <em><u>Solve:</u></em>

x-6 = 0  

  • <em><u>Add 6 to both sides of the equation:</u></em>

x = 6

5 0
3 years ago
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