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3 years ago

If the mass of your father is 70kg, what is his weight (N)?

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Answer: 686 N

Step-by-step explanation:

Hi!

Second Newton's law is: F=m*a, where F is force, m is mass, and a acceleration

On the Earth's surface, weight is the gravity force W=m*g, where g=9.8 m/s² is the acceleretion of gravity on Earth. So the weight of someone with mass m=70 kg is W=70*9.8 kg*m/s² = 686 N.

The unit N (Newton) is defined as 1 N = 1 kg*m/s²

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Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain th

Naya [18.7K]

For this case we have the following function:
$h (x) = - 5x ^ 2 + 10x + 15
$
By the time the stone is thrown, x = 0.
We must evaluate this value of x in the function.
We have then:
$h (0) = - 5 (0) ^ 2 + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 meters$
Answer:
The height of the stone at the time is thrown is given by:
h (0) = 15 meters

4 0

3 years ago

Read 2 more answers

I hate how i have to write things here

Harlamova29_29 [7]

Answer: Question 1 is m=-7/4

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Step-by-step explanation:

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3 years ago

Which equation shows the value of -2/5 - -9/15

Alika [10]

Answer:

D) 3/15

Step-by-step explanation:

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3 years ago

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Rus_ich [418]

Answer:

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Step-by-step explanation:

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2 years ago