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3 years ago

Which equation represents the vertical asymptote of the graph?

Mathematics

1 answer:

Annette [7]3 years ago

8 0

The curve is y equals 0 from negative x to negative y near x equals negative 8.

If a curve has Vertical Asymptote i.e the line x=p,it is never touched by the given curve.The curve remains almost parallel to the line x=p, till the end.The two i.e a line and curve will never meet each other.

→ x is almost equal to p but not p.

so in the denominator , it is x=-8,

Vertical Asymptote occurs when we put , denominator of curve=0.

so vertical asymptote of curve is : x= -8

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Write an equation of the line through the given points (0, -2), (3, -2)

KengaRu [80]

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3 years ago

Find the inverse of the function f f (x ) equals 9 x + 7

MrMuchimi

Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.

Thus, I am solving based on it. It would still clear your concept.

Answer:

The inverse of f(x)=9x+7

$\frac{x-7}{9}$

Step-by-step explanation:

Given the function

$f(x)=9 x + 7$

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

$x=9y+7$

solve for y

$9y=x-7$

$y=\:\frac{x-7}{9}$

Therefore,

The inverse of f(x)=9x+7 is:

$\frac{x-7}{9}$

i.e.

$\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}$

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2 years ago

Dominic invests £1000 in a bank account which has a simple interest rate of 4% per annum. He would like to work out how much mon

mestny [16]

Answer:

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Step-by-step explanation:

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3 years ago

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nika2105 [10]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

The diagonal of any square with side length $s$ is equal to $s\sqrt{2}$ . Since the side length of the square is 10, the diagonal must be $\boxed{10\sqrt{2}}$ .

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse ( $a^2+b^2=c^2$ ).

Call the diagonal $d$ . In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:

$10^2+10^2=d^2,\\100+100=d^2,\\d^2=200,\\d=\sqrt{200}=\sqrt{100}\cdot \sqrt{2}=\boxed{10\sqrt{2}}$

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2 years ago

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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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