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svetlana [45]
2 years ago
9

If x^2+25y^2=416 and x-5y=-16 the value of xy is a)16 b)8 c)-8 d)-16

Mathematics
1 answer:
pshichka [43]2 years ago
3 0

Answer:

(a)

Step-by-step explanation:

Note the expansion of (x - 5y)² is

(x - 5y)² = x² - 10xy + 25y² , that is

(x - 5y)² = x² + 25y² - 10xy ← substitute given values

(- 16)² = 416 - 10xy

256 = 416 - 10xy ( subtract 416 from both sides )

- 160 = - 10xy ( divide both sides by - 10 )

xy = 16 → (a)

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Step-by-step explanation:

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3 years ago
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zysi [14]

Answer:

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Step-by-step explanation:

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Now you want to isolate a by dividing both sides by -3.

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Check your answer by plugging -2 back into the equation.

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Your answer is correct.

Hope this helps!

5 0
3 years ago
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3 years ago
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X/9 times 15-47=28<br> help pls
DIA [1.3K]

Answer:

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Step-by-step explanation:

Then,

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