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3 years ago

Y = 3(x+ 4)^2+ 4 plz find the vertex and whether the graph has a minimum or maximum point

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

look at the screenshot hun!!

Step-by-step explanation:

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Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

3 years ago

Pls Help meeeee UWU (im gonna die)

Ronch [10]

Answer:

Step-by-step explanation:

When you sub in the numbers you get 20 divided by 2

6 0

4 years ago

Which graph shows the original figure rotated 180 degrees

Sphinxa [80]

It should be B because 180° should transfer it to the opposite quadrant and change the signs of both x and y

7 0

2 years ago

Read 2 more answers

The weight of a car is modeled with the polynomial x2 + 10x + 200. The weight of a x3 + x + 100. Which polynomial represents the

Zolol [24]

<h3>The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300</h3>

Step-by-step explanation:

The weight of the car is given as:

P(C) = x² + 10 x + 200

The weight of the truck is given as:

P(T) = x³ + x + 100

Now, the combined weight of both vehicles is given as

= Weight of Car P(C) + Weight of Truck P(T)

P(W) = x² + 10 x + 200 + x³ + x + 100

= x³ + x² + (10 x + x)+ (200 + 100)

= x³ + x² + 11 x + 300

⇒ The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300

3 0

3 years ago

The table below represents a function. Write a number from the given values below to complete the table of values.

Reika [66]

The answer is -3/-1/2

Tap on a clip to paste it in the text box.

3 0

3 years ago