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2 years ago

What is the geometric mean of 8 and 10?

Mathematics

2 answers:

Levart [38]2 years ago

8 0

Answer:

Geometric mean of 2 numbers is a square root of the product.

Given 8,10

Geometric mean = √(8*10)

=√80

= √(16*5)

= 4√5

nekit [7.7K]2 years ago

3 0

If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.

If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x

Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.

The two numbers are 4 and 16.

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Solve the inequality.<br><br> p – 9 < –9

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Answer:

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2 years ago

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Can someone plzzz answer these questions with showing work?

snow_lady [41]

So what you got to do is divide them perseay use a calculator for the first one 2/15 what would that be in a decimal 0.13333333333333 what ever on has 0.13333333 or something else repeating that is the one that you will circle 11/20=0.55 17/40 =0.425 1/2=0.5 so you answer would be 2/15
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3 years ago

HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

nikitadnepr [17]

Answer:

$\frac{x2}{a} - \frac{y2}{b2} = 1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{X2}{16} - \frac{b}{4} = 1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x2}{a2} - \frac{y2}{b2} = 1$

$\frac{x2}{16} - \frac{b2}{4} = 1$

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2 years ago

10x 6x+8 Solve For X

zhannawk [14.2K]

Answer:

I had x to be 2

Step-by-step explanation:

a square has all it side to be equal

so 10x=6x+8

you will group like terms 10x-6x=8

4x=8 you divide both side by the coefficient of x which is four so X=2

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2 years ago