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k0ka [10]
3 years ago
12

Add 113+(−56) using the number line.

Mathematics
2 answers:
suter [353]3 years ago
7 0

Answer:

the answer is between 1/3 and 2/3

Step-by-step explanation:

i took the quiz

Nataliya [291]3 years ago
3 0

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

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Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26

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Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)

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Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
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Step-by-step explanation:

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Vertex of x^2-10x+30
Shtirlitz [24]

The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.

Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30

Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25

Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.

Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).

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4 years ago
Read 2 more answers
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