Tell which two decimal is between 6/7, to the hundredth place

Mathematics

1 answer:

Contact [7]4 years ago

7 0

The decimal between it are 6.7

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Find the sum. Express your answer in simplest form.

Marina86 [1]

Answer:

$\frac{10x^2+3}{y^2+4}$

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have $\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}$

==> remove parenthesis and apply signs

$\frac{x^2+5+4x^2-2}{y^2+4}$

==> simplify numerator by combining like terms

$\frac{10x^2+3}{y^2+4}$

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0

2 years ago

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Can an equilateral triangle ever be a right triangle too?

True [87]

No, it never can be a right triangle.

First, all the angles of an equilateral triangle is 60 degrees because all angles are the same and all the angles add up to 180:

180/3 = 60.

So if it is a right angle it needs one angle 90 degrees which an equilateral triangle can't have,

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3 years ago

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Find the value of x by finishing solving the system shown below.

Andreas93 [3]

Answer:

x = 10

Step-by-step explanation:

Since both equations give y in terms of x, equate the right sides

3x - 28 = - 2x + 22 ( add 2x to both sides )

5x - 28 = 22 ( add 28 to both sides )

5x = 50 ( divide both sides by 5 )