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3 years ago

Find an ordered pair that is solution for linear equation 4x-5y=20

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y = 20 ⇒ y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x = 20 ⇒ x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

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3 years ago

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We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

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So, we could take x coordinate by number of hours and y coordinate for y number of hours.

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In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

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Plugging values in formula, we get

$m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.$

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

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3 years ago

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6 + 6 + 6 = 18

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1/2 x 3.14 x 6

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Triangle UVW has a perimeter of 11.5 units. Solve for y.

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Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

55 + 50 + x = 180
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We can use the Law of Cosines to determine the missing side length y.

a² = b² + c² - 2bc · cos(A)

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

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Side length y is equal to 3.2 units.

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3 years ago

Find an ordered pair that is solution for linear equation 4x-5y=20​

Find an ordered pair that is solution for linear equation 4x-5y=20