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andreyandreev [35.5K]
4 years ago
6

Find the equation of the line passing through (2,-1) and parallel to the line 2x-y=4

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
6 0

Answer:

y = 2x - 5

Step-by-step explanation:

The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.

Now we have y = 2x - k.

Then, we plug in the coordinates to our new equation to solve for k.

-1 = 2(2)-k

-1 = 4-k

k = 5

So the final equation would be y = 2x - 5

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18.<br>The length of the diagonal of a square is 12 cm. What is the area of the<br>square?<br>​
Gwar [14]

Answer:

72 cm²

Step-by-step explanation:

The diagonal of the square divides the square into 2 right triangles.

let the legs of the triangle be x , then using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

The hypotenuse of the triangle is the diagonal, thus

x² + x² = 12²

2x² = 144 ( divide both sides by 2 )

x² = 72 ( take the square root of both sides )

x = \sqrt{72}

The area of the square = x² = (\sqrt{72} )² = 72 cm²

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4 years ago
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natulia [17]

P= 32cm

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4 years ago
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a rino can run at speeds about 28 miles per hour. what is that speed in feet per secsec, to the nearest whole number? (Remember
Solnce55 [7]

Remark

You can use  a method called unit analysis to solve this problem. You will use it many times in your education later on.

Solve

\dfrac{28 mile}{hour} *\dfrac{5280 feet}{mile}*\dfrac{1 hour}{60 min}*\dfrac{1 min}{60 sec}

Now sort out the numbers  in the numerator and those in the denominator and multiply them together.

<em><u>Numerator</u></em> 28 * 5280 * 1 * 1 = 147840

<em><u>Denominator:</u></em> 60 * 60 = 3600

Now divide the numerator by denominator

Answer = 147840 / 3600 = 41.1 Feet / second

28 miles per hour = 41.1 feet / second

7 0
4 years ago
If 30 marbles were to divided between 7 people how much each person will get ?
kirza4 [7]
Hi,

Here is the equation.
30 \div 7 = 4.28
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3 0
3 years ago
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Fiesta28 [93]
The absolute value is always positive, so the answer is 2.3
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