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3 years ago

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

Mathematics

1 answer:

barxatty [35]3 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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2 years ago

What is the slope of a line perpendicular to the line y=2x+5 ?What is the slope of a line perpendicular to the line y=2x+5 ?

enot [183]

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

Hi there!

In the given equation $y=2x+5$ , the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of $\frac{3}{1}$ (which is the same as 3) is $-\frac{1}{3}$ .

Example 2: The negative reciprocal of $-\frac{4}{3}$ is $\frac{3}{4}$ .

Using this logic, the negative reciprocal of 2, or $\frac{2}{1}$ , is $-\frac{1}{2}$ . Therefore, the slope of a line perpendicular to the line $y=2x+5$ is $-\frac{1}{2}$ .

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3 years ago

Find 4 consecutive even numbers whose sum is 156?

faust18 [17]

X + (x + 2) + (x + 4) + (x + 6) = 156
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       4x + 12 = 156
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3 years ago