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Maksim231197 [3]
3 years ago
12

Fill in the blank: Three collinear points ______ lie in exactly one plane.

Mathematics
2 answers:
Mademuasel [1]3 years ago
5 0

Answer:

Three collinear points <u>Always_____</u> lie in exactly one plane.

Step-by-step explanation:

Three collinear points lie in exactly one plane. ... Two intersecting lines determine a plane. sometimes. Two non-intersecting lines determine a plane.

Shalnov [3]3 years ago
4 0

Always is the answer...

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Option 3 is not possible

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3 years ago
Factorize this fully 20x² +500x+3000​
Serga [27]

Answer:

20(x+15)(x+10)

Step-by-step explanation:

Hi there!

As your question states, we need to fully factor the polynomial: 20x²+500x+3000

These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor

the GCF is 20

so factoring 20 out of the polynomial will get:

20(x²+25x+150)

As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.

Now use FOIL to factor x²+25x+150 into 2 binomials

25 is the sum of the last terms

150 is the product of the last terms

think: which two numbers add up to 25 but multiply to get 150?

those two numbers are 15 and 10

x²+25x+150 factored is (x+15)(x+10)

but remember we have the 20 in front of x²+25x+150  (or now, (x+15)(x+10))

therefore the fully factored binomial is 20(x+15)(x+10)

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5 0
3 years ago
How are equations and inequalities the same and how are they different
xenn [34]

Answer:

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Step-by-step explanation:

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6 0
4 years ago
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Evaluate the piecewise function at the given values of the independent variable.
lutik1710 [3]

Answer:

a) f(-1) = 1

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c) f(2) = 8

Step-by-step explanation:

If x is lesser than 0, we have that:

f(x) = 4x + 5

Otherwhise

f(x) = x + 6

(a) f(-1)

Here x = -1.

-1 is lesser than 0

Then

f(x) = 4x + 5

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f(0) = 0 + 6 = 6

(c) f(2)

Here x = 2

When x = 2

f(x) = x + 6

Then

f(2) = 2 + 6 = 8

7 0
3 years ago
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