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Nostrana [21]
2 years ago
5

Match the following items.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

The Matchup are:

1. 1/3(24+15)=1/3•24+1/3•15 -  distributive property

2. 101+(29+417) = (101+29) + 417 -  associative property of addition.

3. (-14)+81 = 81 + (-14) - commutative property of addition.

4. -72 +0=-72 - additive identity.

5. 13/17•17/13=1 -multiplicative inverse.

<h3>What is a distributive property?</h3>

The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.

Hence, The Matchup are:

1. 1/3(24+15)=1/3•24+1/3•15 -  distributive property

2. 101+(29+417) = (101+29) + 417 -  associative property of addition.

3. (-14)+81 = 81 + (-14) - commutative property of addition.

4. -72 +0=-72 - additive identity.

5. 13/17•17/13=1 -multiplicative inverse.

Learn more about distributive property from

brainly.com/question/2807928

#SPJ1

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The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?
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Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1

It can be rewritten as

\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1         .....(1)

The standard form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1           ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are (h\pm a, k).

From (1) and (2) we get

h=6,k=-7,a=4,b=2

Since a>b, therefore the vertices of the ellipse are

(h+a, k)=(6+4,-7)\Rightarrow (10,-7)

(h-a, k)=(6-4,-7)\Rightarrow (2,-7)

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

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Step-by-step explanation:

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Which compound inequality could this graph be the solution of?
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Step-by-step explanation:

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