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PolarNik [594]
3 years ago
6

Find two geometric means between 10 and 1250.

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0
Finding two geometric means between 10 and 125:
a 1 = 10,  a 4 = 1250
a 4 = a 1 * q^3
1250 = 10 * q^3
q^3 = 1250 : 10
q^3 = 125
q = 5
a 2 = 10 * 5 = 50
a 3 = 10 * 5² = 10 * 25 = 250
Answer: The two geometric means are: 50 and 250, since 10, 50, 250 , 1250 forms a geometric sequence.
 

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The value of y is directly proportional to the value of x. Given y = 25 when x = 150.
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3 years ago
Factorise: 5(2^n)+2^n+2
marin [14]

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2 ( n + 2 ) ( n + 1 2 )

Step-by-step explanation:

coefficient of the first term:  

2 = 2 × 1

coefficient of the last term:  

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2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )

Alternative method:

Treat the given expression as a quadratic set equal to zero, with the form

a n 2 + b n + c

and use the quadratic formula

− b ± √ b 2 − 4 a c 2 a

This will given solutions

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for a factoring

2 ( n + 2 ) ( n + 1 2 )

Hope this helped

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3 years ago
What is perimeter and area
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