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3 years ago

Explain in sentences how you can add or subtract two fractions with common denominators?

1 answer:

8 0

If two fractions have the same denominators, then just simply add up the numerators together and keep the denominator.

Examples:

$\frac{4}{10} + \frac{5}{10} = \frac{9}{10}$

$\frac{10}{12} - \frac{2}{12} = \frac{8}{12}$

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tia_tia [17]

Answer:

Step-by-step explanation:-

Triangle ABC lies on the

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(x,y) - (x + 3,2y) to create

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3 years ago

Dy/dx of ln(x/x^²+1)

exis [7]

$\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}$

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3 years ago

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

siniylev [52]

9514 1404 393

Answer:

6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

V = πr^2·h

For a sphere, the volume is ...

V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

8 = 4/3r

r = 3/4·8 = 6

The radius is 6 feet.

8 0

3 years ago

a floor is 450 ft by 90 ft. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. what are the dimensions of

Minchanka [31]

450/5= 90 units

90/5= 18 units

All you need to do is divide the real dimensions by the scale dimensions, and turn that answer to units. Notice: It said 1 unit: 5 feet

The scale drawing was 90 to 18 units.

I hope this helps!
~kaikers

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3 years ago

Put in your best Joke for free points

Fofino [41]

What do you call a bus full of white people? A Twinkie

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4 years ago

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