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Leona [35]
3 years ago
6

What is one of the solutions to the following systems of equations? Y squared plus X squared equals 65 and Y plus X equals seven

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0

Answer:

Step-by-step explanation:

y^2 + x^2 = 65

y + x = 7......x = 7 - y

y^2 + (7 - y)^2 = 65

y^2 + (7 - y)(7 - y) = 65

y^2 + 49 - 7y - 7y + y^2 = 65

2y^2 - 14y + 49 = 65

2y^2 - 14y + 49 - 65 = 0

2y^2 - 14y - 16 = 0

2(y^2 - 7y - 8) = 0

2(y + 1)(y - 8) = 0

y + 1 = 0        y - 8 = 0

y = -1             y = 8

solution :

y = -1...........y + x = 7.....-1 + x = 7......x = 7 + 1......x = 8........(8,-1)

y = 8........y + x = 7.....8 + x = 7......x = 7 - 8........x = -1........(-1,8)

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S_A_V [24]

Answer:

\sqrt{13}

Step-by-step explanation:

The trick here is to know the distance formula (a formula that helps you find the distance between two points).

Distance formula: distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

But now that we know this, we can simply plug in our values and solve!

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A small source radiates an electromagnetic wave with a single frequency into vacuum, equally in all directions. As the wave move
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Answer:

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Explanation:

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