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DiKsa [7]
3 years ago
10

What is the least common multiple of 2, 10 and 6

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
7 0
The least common multiple<span> (</span>LCM<span>) of numbers is the smallest number that they all can divide evenly into.

2 = 1 </span>× 2

10 = 1 × 2 × 5

6 = 1 × 2 × 3

Hence, the least common multiple is 1 × 2 = 2.
andrezito [222]3 years ago
6 0

since 2 can go into both 6 and 10 evenly

 the answer would be 2

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What is the equation of the line?
spin [16.1K]

Answer:

y=1/2x+2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(0,2) and (-4,0).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (-4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

m= 0 - 2-4 - 0 or... m= -2-4 or... m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,2). When x of the line is 0, y of the line must be 2.

(-4,0). When x of the line is -4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (-4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,2). y=mx+b or 2=1/2 × 0+b, or solving for b: b=2-(1/2)(0). b=2.

(-4,0). y=mx+b or 0=1/2 × -4+b, or solving for b: b=0-(1/2)(-4). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,2) and (-4,0)

is

y=1/2x+2

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3 years ago
Paul ran 22 miles in 2.75 hours. what was his average rate per hour?
viktelen [127]

Answer:

Step-by-step explanation:

6 0
3 years ago
What are the coordinates of the point on the directed line segment from (–9, -7) to
pentagon [3]

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

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y coordinate: \frac{by_1+ay_2}{a+b}

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the x coordinate of the directed point is

\frac{4(-9)+3(-2)}{7} which simplifies down to -6, and

the y coordinate of the directed point is

\frac{4(-7)+3(7)}{7} which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

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Tpy6a [65]

Answer:

The answer would be greater since its being multiply the answer will always be greater than what you're multiplying.

Step-by-step explanation:

The product WILL be greater than the other two factors. When multiplying by a fraction the product is GREATER than the lesser factor.

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