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2 years ago

Make y the subject of w=x2-2yz

Mathematics

2 answers:

mina [271]2 years ago

7 0

Answer:

y = (x² - w)/2z

Step-by-step explanation:

w = x² - 2yz

To make y the subject of the formula, we will have

2yz = x² - w

Divide both sides by 2z, we will have

y = (x² - w)/2z

Deffense [45]2 years ago

3 0

Answer:

x^2-W/2z=y

Step-by-step explanation:

The question is based on subject of formula which we will have to change the the letter equating the equation

W=x^2-2yz

And we are to make y the subject of formula

Firstly we will have to substrate x^2 from both sides

W-x^2=2yz

We will now have to look for a way to make y the subject of formula from -2yz ...and to achieve this we will have to divide both sides by -2z.and this will make us to achieve our Target

W-x^2/-2z=y

Yes,the target has been met

But we can solve further by multiplying the fraction by -

-W+x^2/2z=y

Which can also be written as

x^2-W/2z=y

Therefore the final answer is

x^2-W/2z=y

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Jenny multiplies the square root of her favorite positive integer by $\sqrt{2}$. Her product is an integer. a) Name three number

Dmitry [639]

Answer:

Part a) $2,50,18$

Part b) When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

Step-by-step explanation:

Let

x-------> the favorite positive integer

Part a)

1) For $x=2$

$\sqrt{2}*\sqrt{2}=\sqrt{4}=2$ -----> the product is an integer

The number $x=2$ could be Jenny favorite positive integer

2) For $x=50$

$\sqrt{50}*\sqrt{2}=\sqrt{100}=10$ -----> the product is an integer

The number $x=50$ could be Jenny favorite positive integer

3) For $x=18$

$\sqrt{18}*\sqrt{2}=\sqrt{36}=6$ -----> the product is an integer

The number $x=18$ could be Jenny favorite positive integer

Part B)

1) For $x=2$

$\sqrt{2}/\sqrt{2}=\sqrt{1}=1$ -----> the result is an integer

2) For $x=50$

$\sqrt{50}/\sqrt{2}=\sqrt{25}=5$ -----> the result is an integer

3) For $x=18$

$\sqrt{18}/\sqrt{2}=\sqrt{9}=3$ -----> the result is an integer

Therefore

When Jenny divides the square root of her favorite positive integer by $\sqrt{2}$ , she gets an integer

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2 years ago

Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is propor

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Answer:

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2 years ago

Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)

Elza [17]

The first thing we must do in this case is find the derivatives:
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y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
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4 0

2 years ago

$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t

guajiro [1.7K]

9514 1404 393

Answer:

$9,000 at 15%
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Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

0.15(x) + 0.10(13000 -x) = 1750

0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

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3 years ago