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Anna71 [15]
3 years ago
11

Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
   
\displaystyle  \\ 
6x(3x + 1) = 0 \\  \\ 
\Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \\  \\ 
6x = 0 ~~\Longrightarrow ~~ x_1 =  \frac{0}{6} = \boxed{0} \\  \\ 
3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1  ~~\Longrightarrow ~~ x_2 =  \frac{-1}{3} = \boxed{-\frac{1}{3}} \\  \\



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The graph is attached. :D

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HELPPPPP PLEASEEEEE!!!
Pepsi [2]

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: s=\pi r\sqrt{r^2+h^2}

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2}  \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416

So, the height of right circular cone is h = 15.416 cm

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Answer:

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Step-by-step explanation:

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3 years ago
How many solutions does the system have?
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A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

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new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

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