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2 years ago

If 6×2 + 6y2 = 13xy, what is the ratio of x to y?

Mathematics

1 answer:

barxatty [35]2 years ago

4 0

Answer:

Since 6X2 + 6Y2 = 13 xy

-- 6X2 / XY + 6Y2/XY =13

---> 6 X/Y + 6 Y/X =13

6a + 6/a =13

---> 6a2 + 6 =13a

---> 6a2 -13a +6 =0

---> 6a2 -9a - 4a +6 =0

---> (2a-3) (3a-2) =0

2a-3 = 0

a= 3/2

So the Ratio will be = 3:2

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1 year ago

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2 years ago

A is directly proportional to b. When a is 6, b is 72. Find b when a is 8. 3

adelina 88 [10]

Answer:

a) "K" is proportional Constant K= 0.0833

b) The value of b = 99.639

Step-by-step explanation:

Explanation :-

Given 'a' is directly proportional to 'b'

a ∝ b

a = k b ....(i)

where "K" is proportional Constant

Case(i):-

when a =6 and b=72

a = k b

⇒ 6 = k (72)

⇒ $K = \frac{6}{72} = \frac{1}{12} = 0.0833$

Case(ii):-

Given a = 8.3

a = k b

⇒ 8.3 = 0.0833 ×b

⇒ $b = \frac{8.3}{0.0833} = 99.639$

Final answer:-

a)"K" is proportional Constant K= 0.0833

b) The value of b = 99.639

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