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4 years ago

What is the vertex for g(x)=(x-3)+22

Mathematics

1 answer:

OverLord2011 [107]4 years ago

5 0

Answer:

Step-by-step explanation:

I think you meant g(x) = (x - 3)^2 + 22.

Compare this to y - k = m(x - h)^2 (vertex form of the equation of a parabola)

and notice that k = 22 and h = 3. Therefore, the vertex is at (h, k), which here is (3, 22).

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Step-by-step explanation:

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3 years ago

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3 years ago

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4 years ago

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Divide the following polynomial and then place the answer in the proper location on the grid. Write your answer in order of desc

irga5000 [103]

given,

$\frac{ {y}^{3} - {y}^{2} + y + 3}{y + 1} \\ = \frac{ {y}^{3} + {y}^{2} - 2 {y}^{2} - 2y + 3y + 3}{x + 1} \\ = \frac{{y}^{2} (y + 1) - 2y(y + 1) + 3(y + 1)}{(y + 1)} \\ = \frac{(y + 1)( {y}^{2} - 2y + 3) }{(y + 1)} \\ = {y}^{2} - 2y + 3$

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3 years ago

Write the complex equation 8 + 3i in trigonometric form

Oxana [17]

Answer:

z = 8.544[cos(20.6) + isin(20.6)}

Step-by-step explanation:

Given

8 + 3i

Required

Rewrite in trigonometric form.

The trigonometric form of a complex equation is

z = r[cosθ + isinθ]

Let a = 3 and b = 8

Where

r is calculated by

r² = b² + a²

And

θ is calculated by

θ = arctan(a/b)

Substituting 3 for a and 8 for b

r² = a² + b² becomes

r² = 3² + 8²

r² = 9 + 64

r² = 73

√r² = √73

r = √73

r = 8.544

Calculating θ

θ = arctan(a/b) becomes

θ = arctan(3/8)

θ = arctan(0.375)

θ = 20.556°

θ = 20.6 --- Approximated

Hence, z = r[cosθ + isinθ] becomes

z = 8.544[cos(20.6) + isin(20.6)}

3 0

3 years ago