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svetlana [45]
3 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]3 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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GalinKa [24]

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6 0
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Need help with these math questions please.
Bas_tet [7]

Answer:

8 - 2π square units.

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Step-by-step explanation:

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Finding the area of the square:

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x^2 = 1/2

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So the area of the red part = 1/4 ( π/4 - 1/2).

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Third question

Area of the circle = 6^2 * π = 36π.

Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.

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6 0
3 years ago
Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long
allsm [11]

Answer:

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Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

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the longest will be 7/24 * x = 7x/24

From the question;

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2x = 24(9)

x = (24 * 9)/2

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4 0
3 years ago
Find the area of the shape shown below.
bija089 [108]

Answer:

i think its 4,800

Step-by-step explanation:

multiply all the sides

5 0
2 years ago
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