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Hunter-Best [27]
3 years ago
11

Column A Column B

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
1) (-22 + 17) + 13 = -22 + (17+13)
                - 5 + 13 = -22 + 30
                           8 = 8

2) -[27+(-3)] = -27+3
              -24 = -24

3) 35 + (-15+4) = [5+(-15)] + 4
         35 + (-11) = 20 + 4
                     24 = 24

4) -12 + 6 = 6 + (-12)
            - 6 = - 6

Answer: C


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Lonnie plans to join the gym. He must pay a $35 membership fee. He will
mash [69]

Answer:

5

Step-by-step explanation:

The slope will be the constant amount that the cost increases by each month.

In this situation, 5 is the slope, because he has to pay $5 each month.

35 is not the slope, and is instead the y intercept. This is because this is the cost at 0 months, since it is the membership fee.

So, the correct answer is 5.

4 0
2 years ago
According to the scale on a road map, 3 cm represents 45 kilometers. if two cities measure 10 cm apart on the map, how many kilo
denpristay [2]
150 Km.

Good luck! :)

4 0
3 years ago
How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%
blondinia [14]

The trick is to exploit the difference of squares formula,

a^2-b^2=(a-b)(a+b)

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2

Whatever you do to the denominator, you have to do to the numerator too. So

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2

Expand the numerator:

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}

So we have

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2

But √12 = √(3•4) = 2√3, so

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}

7 0
2 years ago
What's 1/3 of $19.95
ki77a [65]
Answer: 6.65

Explanation: 1995/3= 6.65
7 0
2 years ago
Read 2 more answers
Which equation illustrates the identity property of multiplication? (x + yi) × z = (xz + yzi) (x + yi) × 0 = 0 (x + yi) × (z + w
Ilia_Sergeevich [38]

Answer: (x + yi) × 1 = (x + yi)

Step-by-step explanation:

8 0
2 years ago
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