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jeyben [28]
3 years ago
14

What is the least common multiple of 4 and 12?

Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

The lcm (least common multiple) of 4 and 12 is 12.

Step-by-step explanation:

Find the prime factorization of 4

4 = 2 × 2

Find the prime factorization of 12

12 = 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3

LCM = 12

Pani-rosa [81]3 years ago
3 0

The Least common multiple of 4 and 12 is 12.

I hope this helps!

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What causes a graph to move vertically?
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The vertical shifts in graphs are caused by a constant added to the output (y - axis).

<h3>What is vertical shift in a graph?</h3>

Vertical shifts are outside changes that affect the output (y- axis) values and shift the function up or down (vertical direction).

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right

<h3>The cause of vertical shift in a graph</h3>

The vertical shift results from a constant added to the output (y - axis). The graph will move up if the constant added is positive OR it will move down if the constant is negative.

Thus, the vertical shifts in graphs are caused by a constant added to the output (y - axis).

Learn more about vertical shifts in graph here: brainly.com/question/27653529

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8 0
1 year ago
An equivalent expression with a rational denominator is...
Whitepunk [10]

Given the expression,

(8x-56x^2)/(\sqrt{14x-2})

We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.

[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]

If we have (\sqrt{a})(\sqrt{a}), we will get \sqrt{a^2} by multiplying them. And \sqrt{a^2} = a.

So here in the problem, we will get,

[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)

Now in the numerator we have (8x-56x^2). We can check 8x is common there. we will take out -8x from it, we will get,

-8x(-1+7x)

-8x(7x-1)

And in the denominator we have 14x-2. We can check 2 is common there. If we take out 2 from it we will get,

2(7x-1)

So we can write the expression as

[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]

(7x-1) is common to the numerator and denominator both, if we cancel it we will get,

(-8x)(\sqrt{14x-2})/2

We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,

(-4x)(\sqrt{14x-2})

(-4x)(14x-2)^(1/2)

So we have got the required answer here.

The correct option is the last one.

4 0
3 years ago
The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the
Katyanochek1 [597]

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

7 0
3 years ago
In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is 2/3 1 3/2 2 . The area of polygo
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It would b 2/3 and the other one 2/4

6 0
3 years ago
A model of a house has been drawn on a coordinate grid. One corner of the house has
sp2606 [1]

Answer:

Point(9,1)

Step-by-step explanation:

Given

Point: (6,3)

Required

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Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

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Point: (6, 1)

3 units right implies that, 3 be added tothe x value.

The function becomes

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Hence;

Option D answers the question

7 0
3 years ago
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