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Nataly [62]
3 years ago
10

What is the common difference of the sequence 8, 4, 0, -4, -16?

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

\large \mathfrak{Solution : }

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

  • common \:  \: difference = 4 - 8
  • common \:  \: difference =  - 4

therefore, the common difference of the above Arithmetic progression is -4 .

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The hypotenuse of a right triangle is 13cm long. the longer leg is 7 cm longer than the shorter leg. find the side lengths of th
Ad libitum [116K]

5^2 + 12^2 = 13^2


is the second or third Pythagorean triple on the list, which gives us the answer directly.


But if we didn't know that, let x be the short leg:


x^2 + (x+7)^2 = 13^2


2x^2 + 14 x + 49 - 169 = 0


x^2 + 7x  - 60 = 0


(x+12)(x-5)=0


Rejecting the negative root, x=5, other side 12, the Pythagorean triple we found.

8 0
3 years ago
Is this statement true or false? *<br> If an odd number is less<br> than 15, then it is prime.
Hatshy [7]

Answer: That is false

Step-by-step explanation: 9 is odd but not prime

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3 years ago
Question 1 (10 points)
Neporo4naja [7]

Step-by-step explanation:

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5 0
3 years ago
Choose the correct description of the graph of the compound inequality x − 2 &gt; −4 and 3x less than or equal to 15.
Evgesh-ka [11]

Answer:

A number line with an open circle on −2, a closed circle on 5, and shading in between

Step-by-step explanation:

solve it you get x>-2

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7 0
3 years ago
What two numbers add to 4 and multiply to 1
Arlecino [84]
There are no numbers for this, thus you will have to use the quadratic formula.
4 0
3 years ago
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