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Vera_Pavlovna [14]
3 years ago
8

The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer: \pi 36r^{2}

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have \pi (3r)2(6r)

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... \pi (3r)(12r)

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

\pi 36r^{2}

notice how i multiplied 12 by 3 and also r by r (which gives 36 and r^{2} respectively)

so your simplified expression is: \pi 36r^{2}

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DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
Taya2010 [7]

Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?  

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

Step-by-step explanation:

Given:

Slope = m =\dfrac{1}{2}

point A(x₁, y₁)=(-2,1)  

To Find:  

Equation of Line  =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4 As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

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Answer:

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Step-by-step explanation:

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