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shepuryov [24]
3 years ago
5

The parabola y=x^2 is shifted up by 8 units

Mathematics
1 answer:
dangina [55]3 years ago
6 0

Answer:

It becomes y = x^2 + 8.

Step-by-step explanation:

The equation of the new parabola is y = x^2 + 8.

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Julia is taking a test with multiple choice and true/false question the test has twentg question altogether . julia gets five po
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X=number of corect
y=number of incorrect
5 points for each correct so 5x
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I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
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subtract 76 from both sides
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subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0

so solve for minimum
0<u><</u>5x-76
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you cannot answer a fraction of a correct quesiton so round up
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x<u>></u>16

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so (x,y) 
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(17,9)
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Margarita [4]

<u>Answer</u><u> </u><u>:</u><u>-</u>

9(3+√3) feet

<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

<u>In ∆ABC , </u>

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3><u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
3 0
3 years ago
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