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hoa [83]
4 years ago
11

Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.

Mathematics
1 answer:
Zina [86]4 years ago
7 0
Because all numbers that are divisible by 10 is divisible by 5, all numbers that are divisible by 8 is divisible by 2 and 4, all numbers divisible by 6 is divisible by 2 and 3, we only need to find the smallest common multiple of 6,7,8,9,10 and 11
find the prime factors of each:
2,3
7
2,2,2,
3,3,
2,5,
11
factors that are shared can be used only once, so we have:
2*7*3*11*3*2*5*2=27720
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B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
5 0
3 years ago
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Find the domain of fg
vazorg [7]
We have the following functions:
 f (x) = x ^ 2 + 1
 g (x) = 1 / x
 Multiplying we have:
 (f * g) (x) = (x ^ 2 + 1) * (1 / x)
 Rewriting:
 (f * g) (x) = ((x ^ 2 + 1) / x)
 Therefore, the domain of the function is given by all the values of x that do not make zero the denominator.
 We have then:
 All reals except number 0
 Answer:
 
b. all real numbers, except 0
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Answer:

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Step-by-step explanation:

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jeka57 [31]

In geometry, transformation involves changing the position and/or size of a shape.

<em>The transformation that will change the size of ABCD is dilation.</em>

There are four transformations in geometry:

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  • Rotation
  • Dilation

Of all types of transformation, dilation will change the size of the shape,

The new shape will either be enlarged or reduced

<em>Either ways, the size of the shape will be altered.</em>

<em>When the size is altered, the perimeter will not remain the same.</em>

<em />

Hence. dilation will change the perimeter of ABCD.

Read more about transformations at:

brainly.com/question/11709244

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You have 976 grams of a radioactive kind of rhodium. How much will be left after 120 seconds if its half-life is 30 seconds?
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Answer:

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Step-by-step explanation:

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