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vazorg [7]
3 years ago
8

What is the lcm of each group of numbers 3,9,15

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0

Answer: 45

Step-by-step explanation:

By factor method,

3 = 1, 3

9= 3, 3

15= 3, 5

LCM= 3*3*5

=45

mamaluj [8]3 years ago
5 0

Answer:

45

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18, 27, 30, 33, 36, 39 , 41, 45, ...

Multiples of 9: 9, 18, 27, 36, 45...

Multiples of 15: 15, 30, 45, 60,...

The lowest multiple they have in common is 45

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As we know that the standard equation of circle is {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>

Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}

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Now , putting values in our standard equation ;

{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}

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8 0
2 years ago
Solve for x.<br><br> (x−2)^2+2=38<br><br> x= ___ or x= ___
Elan Coil [88]

Answer:

x  \: = \:  \boxed{ \bold{  - 4  }}\:    \:    \text{or} \:   \: x \:  = \:  \boxed{ \bold{ 8}}

Step-by-step explanation:

(x \:  -  \: 2 {)}^{2}  \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 4 \:  +  \: 2 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  =  \: 38

{x}^{2}  \:  -  \: 4x \:  +  \: 6 \:  -  \: 38 \:  =  \: 0

{x}^{2}  \:  +  \: 4x \:  -  \: 8x \:  -  \: 32 \:  =  \: 0

x \:  \times  \: (x \:  +  \: 4) \:  -  \: 8(x \:  +  \: 4) \:  =  \: 0

(x \:  +  \: 4) \:   \times  \: (x \:  -  \: 8) \:  =  \: 0

  • When it happens that the product of the factors is the same as zero. It is divided into two possible cases.

x \:  +  \: 4 \:  =  \: 0 \\ x \:  -  \: 8 \:  =  \: 0

  • We solve the two equations:

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h2>Answer: </h2>

x \:  =  \:  - 4 \\ x \:  =  \: 8

<h3><em><u>MissSpanish</u></em></h3>

6 0
2 years ago
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