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azamat
3 years ago
9

A) If the line 2x + 3y -8=0 is perpendicular to the line kx-6y =9 find k.​

Mathematics
1 answer:
blsea [12.9K]3 years ago
3 0

Answer:

k = 9.

Step-by-step explanation:

2x + 3y -8=0

3y = -2x + 8

y = -2/3 x + 8/3

So the slope of this line is -2/3.

Therefore the slope of a line perpendicular to the above is -1 /-2/3

= 3/2.

kx - 6y = 9

6y = kx - 9

y = k/6x - 3/2

But the slope is 3/2,

So k/6 = 3/2

2k = 18

k = 9.

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Answer:

D

Step-by-step explanation:

Please refer to the attachment below.

We have a 30-60-90 triangle.

Hence, the ratios of the sides will be related as shown in the triangle below.

Let’s determine the value of x. In a 30-60-90 triangle, the hypotenuse is 2x.

Here, our hypotenuse is 10.

Then it follows that:

10=2x\Rightarrow x=5

The side opposite to ∠A (60) is CB.

And it is x√3.

Hence, CB is 5√3.

The side opposite to ∠B (30) is AC.

And it is x.

Hence, AC is 5.

Therefore, AC is 5 while BC is 5√3.

Hence, our answer is D.

8 0
3 years ago
Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for t
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Answer:

4 secs

Step-by-step explanation:

Since they have to be synchronized, their parabolic equations must be equal to one another

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From the options, the answer is 4

3 0
2 years ago
Y is inversely proportional to the square of x. If y=4 when x=6 then what is y when x is 8?
vlada-n [284]

Step-by-step explanation:

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5 0
3 years ago
Please help me on my quiz!
Llana [10]

Answer:

x = 80

Step-by-step explanation

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7 0
3 years ago
HELP PLEASE DUE IN 3 MINUTES
grin007 [14]
The nose is 20
Hope that helps
4 0
3 years ago
Read 2 more answers
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