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Archy [21]
3 years ago
13

If the equation y² - (K-2y + 2k +1 = 0with equal roots find the value of k​

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

y² - (K-  2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

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Find the exact value of the indicated trigonometric function of θ.
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Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

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sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
3 years ago
A race car can travel 2 laps In 10 minutes How long will it take the race car to complete 100 laps at that rate ?
34kurt

Answer:

500 minutes

Step-by-step explanation:

Ok, so the first thing we want to do is figure out how long it takes to complete one lap.

So if it takes 10 minutes to travel 2 laps lets find out how many minutes for one.

It would be 5 minutes for one lap, if you divide 10 by 2 because of the 2 laps.

Next, you just multiply the 5 minutes by 100 laps:

This gives you 500 minutes.

Hope this helps :)

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The final answer for this question would be.....

8.8n^2+16n+0.1

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