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MAVERICK [17]
3 years ago
15

Which expression is equivalent to (see attachment)

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0

Answer:

  see below

Step-by-step explanation:

8 can be factored from each of the terms of the sum. (It's the distributive property.)

  8·0 + 8·1 + 8·2 + ... + 8·26 + 8·27

  = 8·(0 +1 +2 + ... +26 +27)

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Answer: 1/10

Step-by-step explanation:

From the question, we are informed that Karen spent 7/10 hour reading and 3/5 hours writing in her journal.

To calculate how much longer karen spent reading than writing in her journal, we have to subtract 3/5 from 7/10. This will be:

= 7/10 - 3/5

Note that the lowest common multiple of 5 and 10 is 10.

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Therefore, the answer is 1/10

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astraxan [27]

Answer: 4\sqrt{3} .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

D=\sqrt{(d-b)^2+(b-a)^2}

Distance between points (-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3}).

D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}

Hence, the correct option is 4\sqrt{3} .

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Step-by-step explanation:

step 1. perpendicular lines have negative reciprocal slopes

step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3

step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)

step 4. y - 2 = -3x + 9

step 5. y = -3x + 11.

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Answer:

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Step-by-step explanation:

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