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dexar [7]
3 years ago
8

Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the a

rea of a circle with twice the radius.
The combined area of two circles with the same radius is __________ πr2. The area of a circle with twice the radius is __________ πr2. The combined area of two circles is ______ as the area of a circle with twice the radius.
Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

A1=2π*r^2

A2=π(2r)^2=4π*R^2

double

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Calculate the average rate of the following intervals
AveGali [126]

Answer:

What's the intervals for this question

Step-by-step explanation:


3 0
3 years ago
Using elimination method
bogdanovich [222]

Answer:

The value of x is 2 and y is (-5)

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • -7x + y = – 19
  • -2x + 3y = – 19
<h3><u>To </u><u>Find</u>;</h3>
  • The value of x and y
<h3><u>B</u>y<u> </u><u>Usin</u>g<u> </u><u>Elimination</u><u> </u><u>Method</u>;</h3>

First name the equation

  • -7x + y = – 19 ...(1)
  • -2x + 3y = – 19 ...(2)

Now, Multiply equation (1) by 3 we get,

3 × (-7x + y = – 19)

-21x + 3y = – 57

Now, Eliminate

-21x + 3y = – 57

-2x + 3y = – 19

<u>+</u><u> </u><u> </u><u> </u><u> </u><u>–</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>+</u><u> </u><u> </u><u> </u><u> </u>

-19x = -38

x = -38/-19

x = 2

Now, Put the value of x in equation (2) we get the value of y.

-7x + y = – 19

-7(2) + y = – 19

-14 + y = -19

-14 + 14 + y = -19 + 14

y = -5

Thus, The value of x is (-5) and the value of y is 2.

<h3><u>For </u><u>Verification</u>;</h3>

-7x + y = – 19

-7(2) + (-5) = – 19

-14 – 5 = – 19

-19 = -19

-2x + 3y = – 19

-2(2) + 3(-5) = – 19

-4 – 15 = – 19

-19 = -19

Here, L.H.S = R.H.S

Hence Verified!

<u>-TheUnknownScientist 72</u>

4 0
2 years ago
for any numbers x,y [x=0 in(4) and y = 0 in (5)] and any positive integers m,n, the following holds:x^m · x^n=x^m+nProve number
AlladinOne [14]

Proved

Explanation:

To prove x^m · x^n=x^m+n, let's assign numbers to x, m and n

let x = 2

m = 3, n = 4

x^m · x^n = 2^3 . 2^4

x^m+n = 2^(3+4)

Solve each of the above seperately and comparew the answer:

\begin{gathered} x^m\times x^n=2^3\times2^4 \\ =\text{ (2}\times2\times2)\times(2\times2\times2\times2) \\ =\text{ 8}\times16 \\ =\text{ }128 \end{gathered}\begin{gathered} x^{m+n}=2^{3+4} \\ =2^7\text{ = 2}\times2\times2\times2\times2\times2\times2 \\ =\text{ 128} \end{gathered}\begin{gathered} sincex^m\times x^n\text{ = 128} \\ \text{and x}^{m+n}\text{ = 128} \\ \text{Therefore, }x^m\times x^n\text{ =  x}^{m+n} \end{gathered}

This expression x^m · x^n=x^m+n has been proved to be equal

4 0
1 year ago
Help me with this step by step equation plz don't answer if u don't know
Troyanec [42]

I'm pretty sure it's B you have it correct

7 0
3 years ago
A rectangular prism has dimensions of x + 1, x - 1, and x. Write an expression for the total volume of the prism.
Julli [10]

We have been given the dimensions of the rectangular prism.

Lets say that the length, width, and height of the rectangular prism are:

Length = x+1

Width =x-1

Height=x

Volume of a rectangular prism is given by:

length \times width\times height

Plugging the values of length, width, and height, we get:

Total volume of the prism = (x+1)\times(x-1)\times x

=(x^2-1)x=x^3-x   (we have used (a+b)\times (a-b)=a^2-b^2)

So, the expression for the total volume of the prism is:

(x^3-x)

7 0
3 years ago
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