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solniwko [45]
3 years ago
8

HELP PLEASE 30 POINTS 2x-3y=8 x-3y=8. solve with linear composition

Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

(0,-8/3)

Step-by-step explanation:

2x-3y=8

x-3y=8

Multiply the second equation by -1 and add together

2x-3y=8

-x+3y=-8

---------------------

x +0y =0

x=0

Now we can find y

2x -3y =8

0-3y =8

Divide by -3

-3y/-3 = 8/-3

y = -8/3

(0,-8/3)

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building
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Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

h=\sqrt{x^2+y^2}

The rate of change for the distance between you and the elevator is given by:

\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}

-16=\frac{dh}{dy}*\frac{dy}{dt}

\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\

Applying the chain rule:

u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}

Therefore, at x=300 and y = 500, dy/dt is:

-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s

The elevator is descending at 18.66 ft/s.

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Tike Television has six minutes of advertising space every 15 minutes. How many
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A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in
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4 years ago
Which numbers are 9 units from −5 on this number line?
ExtremeBDS [4]

Using the number line, the numbers that are 9 units from -5 are: -14 and 4.

<h3>How to Locate a Number on a Number line?</h3>

To find two numbers that cover the same units from a given point on a number line, we can simply do the following:

  • Count the number of units given backwards/to the left from the point stated to get the first number.
  • Count the number of units given forwards/to the right from the point stated to get the second number.

Thus, we are asked to find the numbers that would be 9 units from -5, using the number line.

Count 9 units backwards/to the left from -5 to get the first number, which is: -14

Count 9 units forwards/to the right from the -5 to get the second number, which is: 4.

Therefore, the numbers that are 9 units from -5 on the number line, are: -14 and 4.

Learn more about number line on:

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