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3 years ago

What is a perfect squares

Mathematics

2 answers:

erica [24]3 years ago

6 0

Answer:

What is a Perfect Square? A perfect square is a number which is generated by multiplying two equal integers by each other. For example, number 9 is a perfect square because it can be expressed as a product two equal integers being: 9 = 3 x 3.

Step-by-step explanation:

Phantasy [73]3 years ago

6 0

Answer:

A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3

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Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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3 years ago

the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

Check on the sum

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

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3 years ago

Find solution of the equation 3sin^2x-7sinx+2=0

Goshia [24]

Simplife3^2 to 9
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9x-7+2to 9x-5
9x-5=0
add 5 to both sides 9x=5
Divide both sides by 9
x=5/9

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3 years ago

What is a perfect squares​

What is a perfect squares