HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x≠0, −2

Mathematics

1 answer:

scoundrel [369]3 years ago

8 0

Answer:

i belive the answers -1

Step-by-step explanation

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1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?

MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5... are -6 and 7.

Step-by-step explanation:

index: 1 2 3 4 5 ....

value: 1 -2 3 -4 5

Let the index be n. Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)

So the general formula for a(n) is: a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0

3 years ago

Sam the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. How fa

Liula [17]

Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$