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3 years ago

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

1 answer:

8 0

The standard form of a hyperbola is x2/a2 − y2/ b2 = 1
the tangent line is the first derivative of the functiony′ = b^2x/ a^2 y
hence the slope is m = b^2 x0 / a^2 x1

Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)

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Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two int

daser333 [38]

Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.

The statement wants us to prove;

(x+1)²-x²=x+(x+1) <-- solve left hand side

x²+x+x+1²-x²
2x+1 (solution for left hand side)

Now solve for right hand side.

x+(x+1)= 2x+1

As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.

Hope I helped :)

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4 years ago

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Advocard [28]

Answer:

Is B

Step-by-step explanation:

8 0

3 years ago

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finlep [7]

Answer:

Step-by-step explanation:

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3 years ago

What is X / 2 + 1 > 3

Yuki888 [10]

Answer:

Step-by-step explanation:

here you go mate'

step 1

X / 2 + 1 > 3 equation

step 2

X / 2 + 1 > 3 simplify the equation

step 3

1/ 2 + 1 > 3 subtract the number at the front

1 / 2 + 1 (-1)> 3(-1)

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3 years ago

If a=14 and b=4, then what does ab equal?

ryzh [129]

Answer:

ab=56

Step-by-step explanation:

14 x 4 = 56

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