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Arlecino [84]
3 years ago
9

Inverse variation?

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

An Inverse variation states that a relationship between two variables in which the product is always constant.

If one of the variable increases then the other decreases in proportion so that the product is unchanged.

if y is inversely proportional to x, then the equation is of the form

y = \frac{k}{x} , where k is constant.

As per the given condition, A constant force acts upon an object, the acceleration of the object varies inversely with it's mass.

i.e, a \propto \frac{1}{m}

By definition of inverse variation;

a = \frac{F}{m} . ......[1]  ,where F is the constant force.

It is given that an object has mass(m)= 4kg and the acceleration of an object(a) = 14 m/s^2

Substitute these in [1] to find the constant force F;

14 = \frac{F}{4}

or

F =14 \times 4 = 56 kg m/s^2

Now, if the same force acts upon the another object whose mass (m) = 7 kg then calculate acceleration.

[1]⇒  a = \frac{56}{7} = 8 m/s^2

therefore, the acceleration of an another object is, 8 m/s^2


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Step-by-step explanation:

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Step-by-step explanation:

add 3 to each term

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Your friend says that the absolute value equation | 3x+8 |-9=-5 has no solution because the constant
sineoko [7]

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

\displaystyle \large{|3x+8|-9=-5}

Add both sides by 9.

\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

\displaystyle \large{ |ax + b|  = c}

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

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3 0
2 years ago
Write 11•47 using the distributive property. Then simplify.
Dennis_Churaev [7]
Distributive property :

a (b+c) = ab + bc

Try writing 47 = 50-3  or 47 = 40+7.

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or 

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6 0
3 years ago
Solve y
Ksivusya [100]

The value of y in -3 = 7\left(y-\dfrac97\right) is 6/7

<h3>How to solve for y?</h3>

The equation is given as:

-3 = 7\left(y-\dfrac97\right)

Open the bracket

-3 = 7y - 9

Add 9 to both sides of the equation

7y = 6

Divide both sides by 7

y= 6/7

Hence, the value of y in -3 = 7\left(y-\dfrac97\right) is 6/7

Read more about equations at:

brainly.com/question/2972832

#SPJ1

<u>Complete question</u>

Solve for y

-3 = 7\left(y-\dfrac97\right)

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2 years ago
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