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adelina 88 [10]
2 years ago
6

Simplify the following surd expressions

Mathematics
2 answers:
kati45 [8]2 years ago
8 0

Answer:

A) \: 6 \sqrt{2}  - 5 \sqrt{2}  = (6 - 5) \sqrt{2}  =  \sqrt{2}   \\

<h3><u>√2</u> is the right answer.</h3>

B) \sqrt{11}  + 3 \sqrt{11}  = (1 + 3) \sqrt{11}  = 4 \sqrt{11}

<h3><u>4√11</u> is the right answer.</h3>
AlexFokin [52]2 years ago
3 0

Answer:

A) \sqrt{2}

B) 4\sqrt{11}

Step-by-step explanation:

A) You can add these expression because they contain the same square root:

6\sqrt{2}  - 5\sqrt{2} = (6 - 5)\sqrt{2} =\sqrt{2}

B) Same as above:

\sqrt{11} + 3\sqrt{11} = (1 + 3)\sqrt{11} = 4\sqrt{11}

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Is this the right answer??
nordsb [41]

Answer:

yes

Step-by-step explanation:

If there are no horizontal points on the graph that are even with other horizontal points on the graph, then the graph is a function.

6 0
3 years ago
James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence
eduard

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

a_{n} = a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

f(n) = 1 + 2(n - 1)

f(n) = 1 + 2n - 2

f(n) = 2n - 1

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f(10) = 2(10) - 1

f(10) = 20 - 1

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7 0
3 years ago
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Alex17521 [72]

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

Therefore, the new point would be:

(-6-4,9-1)\\=(-10,8)

6 0
3 years ago
A bag contains six red marbles three blue marbles and five green marble the three marbles are drawn out of the bag what is the p
tia_tia [17]

Answer:

Step-by-step explanation:

Red = 6

Blue = 3

Green = 5

Total = 14

First marble = 6/14  = 3/7  You now have 5 reds and 13 total

Second Marble = 5 * 13  which brings you down to 4 red and 12 total.

Third Marble = 4/12 = 1/3

Result

P(3 Red) = 3/7 * 5/13 * 1/3     cancel the 3s

P(3 Red) = 1/7 * 5/13

P(3 Red) = 5/91

P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.

8 0
3 years ago
The integer<br> is neither positive nor negative.
Artist 52 [7]

Answer:

false

Step-by-step explanation:

an integer is any number greater or less than 0

8 0
3 years ago
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