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valina [46]
4 years ago
10

Write two numbers that multiply to the value on top and add to the value on bottom

Mathematics
1 answer:
xenn [34]4 years ago
3 0

Answer:

3 and 2

Step-by-step explanation:

3 x 2 = 6

3 + 2 = 5

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calculates the sum of the first 8 terms of an arithmetic progression starting with 3/5 and ending with 1/4
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We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

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The diagram shows 15 identical circles, arranged as a rectangle, and a shaded triangle. The verticices of the triangle are at th
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To find the area of the triangle, you will need to know the length of the base and there length of the height.

You can find both of these by using the circles that are given.

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Answer:

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