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Minchanka [31]
3 years ago
12

Find the area of a circle with a diameter of 16.

Mathematics
1 answer:
never [62]3 years ago
4 0
The area of the circle should be 201.06
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WILL GIVE BRAINLIEST! NEED QUICK HELP ASAP! Photo added! least common denominator x^3/x^2+4x+4 and -9/x^2+5x+6
Oksanka [162]

The denominator( s ) we are given are x^2 + 4x + 4, and . The first thing we want to do is factor the expressions, to make this easier -

x^2 + 4x + 4

This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -

( x + 2 )^2

The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)

Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.

<u><em>Solution = </em></u>\left(x+2\right)^2\left(x+3\right)<u><em /></u>

3 0
3 years ago
The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
Minchanka [31]

The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

  • x be the small integer.
  • x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

3 0
3 years ago
The cost (C) for P pounds of apples can be represented by the equation c=4p. Graph the proportional relationship between the num
AlladinOne [14]
Hi how was you day hope it was good mine was good bye
6 0
3 years ago
19/3÷3 reduce to lowest terms
Digiron [165]

19/9 because 19/3 times 1/3 is 19/9


7 0
3 years ago
Read 2 more answers
Write -7.32 as a Fraction/Mixed Number In Simplest Form. Also Show Steps To How You Got To Your Answer.
Mamont248 [21]

To write 7.32 as a fraction you have to write 7.32 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

7.32 = 7.32/1 = 73.2/10 = 732/100

And finally we have:  

7.32 as a fraction equals 732/100

7 0
3 years ago
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